Identifier
Mp00273: Binary words Gray previousBinary words
Mp00272: Binary words Gray nextBinary words
Images
0 => 1 => 0
1 => 0 => 1
00 => 01 => 00
01 => 11 => 01
10 => 00 => 10
11 => 10 => 11
000 => 001 => 000
001 => 101 => 001
010 => 110 => 010
011 => 010 => 011
100 => 000 => 100
101 => 111 => 101
110 => 100 => 110
111 => 011 => 111
0000 => 0001 => 0000
0001 => 1001 => 0001
0010 => 1010 => 0010
0011 => 0010 => 0011
0100 => 1100 => 0100
0101 => 0111 => 0101
0110 => 0100 => 0110
0111 => 1111 => 0111
1000 => 0000 => 1000
1001 => 1101 => 1001
1010 => 1110 => 1010
1011 => 0011 => 1011
1100 => 1000 => 1100
1101 => 0101 => 1101
1110 => 0110 => 1110
1111 => 1011 => 1111
00000 => 00001 => 00000
00001 => 10001 => 00001
00010 => 10010 => 00010
00011 => 00010 => 00011
00100 => 10100 => 00100
00101 => 00111 => 00101
00110 => 00100 => 00110
00111 => 10111 => 00111
01000 => 11000 => 01000
01001 => 01101 => 01001
01010 => 01110 => 01010
01011 => 11011 => 01011
01100 => 01000 => 01100
01101 => 11101 => 01101
01110 => 11110 => 01110
01111 => 01011 => 01111
10000 => 00000 => 10000
10001 => 11001 => 10001
10010 => 11010 => 10010
10011 => 00011 => 10011
10100 => 11100 => 10100
10101 => 00101 => 10101
10110 => 00110 => 10110
10111 => 11111 => 10111
11000 => 10000 => 11000
11001 => 01001 => 11001
11010 => 01010 => 11010
11011 => 10011 => 11011
11100 => 01100 => 11100
11101 => 10101 => 11101
11110 => 10110 => 11110
11111 => 01111 => 11111
000000 => 000001 => 000000
000001 => 100001 => 000001
000010 => 100010 => 000010
000011 => 000010 => 000011
000100 => 100100 => 000100
000101 => 000111 => 000101
000110 => 000100 => 000110
000111 => 100111 => 000111
001000 => 101000 => 001000
001001 => 001101 => 001001
001010 => 001110 => 001010
001011 => 101011 => 001011
001100 => 001000 => 001100
001101 => 101101 => 001101
001110 => 101110 => 001110
001111 => 001011 => 001111
010000 => 110000 => 010000
010001 => 011001 => 010001
010010 => 011010 => 010010
010011 => 110011 => 010011
010100 => 011100 => 010100
010101 => 110101 => 010101
010110 => 110110 => 010110
010111 => 011111 => 010111
011000 => 010000 => 011000
011001 => 111001 => 011001
011010 => 111010 => 011010
011011 => 010011 => 011011
011100 => 111100 => 011100
011101 => 010101 => 011101
011110 => 010110 => 011110
011111 => 111111 => 011111
100000 => 000000 => 100000
100001 => 110001 => 100001
100010 => 110010 => 100010
100011 => 000011 => 100011
100100 => 110100 => 100100
100101 => 000101 => 100101
100110 => 000110 => 100110
>>> Load all 1131 entries. <<<
100111 => 110111 => 100111
101000 => 111000 => 101000
101001 => 001001 => 101001
101010 => 001010 => 101010
101011 => 111011 => 101011
101100 => 001100 => 101100
101101 => 111101 => 101101
101110 => 111110 => 101110
101111 => 001111 => 101111
110000 => 100000 => 110000
110001 => 010001 => 110001
110010 => 010010 => 110010
110011 => 100011 => 110011
110100 => 010100 => 110100
110101 => 100101 => 110101
110110 => 100110 => 110110
110111 => 010111 => 110111
111000 => 011000 => 111000
111001 => 101001 => 111001
111010 => 101010 => 111010
111011 => 011011 => 111011
111100 => 101100 => 111100
111101 => 011101 => 111101
111110 => 011110 => 111110
111111 => 101111 => 111111
0000000 => 0000001 => 0000000
0000001 => 1000001 => 0000001
0000010 => 1000010 => 0000010
0000011 => 0000010 => 0000011
0000100 => 1000100 => 0000100
0000101 => 0000111 => 0000101
0000110 => 0000100 => 0000110
0000111 => 1000111 => 0000111
0001000 => 1001000 => 0001000
0001001 => 0001101 => 0001001
0001010 => 0001110 => 0001010
0001011 => 1001011 => 0001011
0001100 => 0001000 => 0001100
0001101 => 1001101 => 0001101
0001110 => 1001110 => 0001110
0001111 => 0001011 => 0001111
0010000 => 1010000 => 0010000
0010001 => 0011001 => 0010001
0010010 => 0011010 => 0010010
0010011 => 1010011 => 0010011
0010100 => 0011100 => 0010100
0010101 => 1010101 => 0010101
0010110 => 1010110 => 0010110
0010111 => 0011111 => 0010111
0011000 => 0010000 => 0011000
0011001 => 1011001 => 0011001
0011010 => 1011010 => 0011010
0011011 => 0010011 => 0011011
0011100 => 1011100 => 0011100
0011101 => 0010101 => 0011101
0011110 => 0010110 => 0011110
0011111 => 1011111 => 0011111
0100000 => 1100000 => 0100000
0100001 => 0110001 => 0100001
0100010 => 0110010 => 0100010
0100011 => 1100011 => 0100011
0100100 => 0110100 => 0100100
0100101 => 1100101 => 0100101
0100110 => 1100110 => 0100110
0100111 => 0110111 => 0100111
0101000 => 0111000 => 0101000
0101001 => 1101001 => 0101001
0101010 => 1101010 => 0101010
0101011 => 0111011 => 0101011
0101100 => 1101100 => 0101100
0101101 => 0111101 => 0101101
0101110 => 0111110 => 0101110
0101111 => 1101111 => 0101111
0110000 => 0100000 => 0110000
0110001 => 1110001 => 0110001
0110010 => 1110010 => 0110010
0110011 => 0100011 => 0110011
0110100 => 1110100 => 0110100
0110101 => 0100101 => 0110101
0110110 => 0100110 => 0110110
0110111 => 1110111 => 0110111
0111000 => 1111000 => 0111000
0111001 => 0101001 => 0111001
0111010 => 0101010 => 0111010
0111011 => 1111011 => 0111011
0111100 => 0101100 => 0111100
0111101 => 1111101 => 0111101
0111110 => 1111110 => 0111110
0111111 => 0101111 => 0111111
1000000 => 0000000 => 1000000
1000001 => 1100001 => 1000001
1000010 => 1100010 => 1000010
1000011 => 0000011 => 1000011
1000100 => 1100100 => 1000100
1000101 => 0000101 => 1000101
1000110 => 0000110 => 1000110
1000111 => 1100111 => 1000111
1001000 => 1101000 => 1001000
1001001 => 0001001 => 1001001
1001010 => 0001010 => 1001010
1001011 => 1101011 => 1001011
1001100 => 0001100 => 1001100
1001101 => 1101101 => 1001101
1001110 => 1101110 => 1001110
1001111 => 0001111 => 1001111
1010000 => 1110000 => 1010000
1010001 => 0010001 => 1010001
1010010 => 0010010 => 1010010
1010011 => 1110011 => 1010011
1010100 => 0010100 => 1010100
1010101 => 1110101 => 1010101
1010110 => 1110110 => 1010110
1010111 => 0010111 => 1010111
1011000 => 0011000 => 1011000
1011001 => 1111001 => 1011001
1011010 => 1111010 => 1011010
1011011 => 0011011 => 1011011
1011100 => 1111100 => 1011100
1011101 => 0011101 => 1011101
1011110 => 0011110 => 1011110
1011111 => 1111111 => 1011111
1100000 => 1000000 => 1100000
1100001 => 0100001 => 1100001
1100010 => 0100010 => 1100010
1100011 => 1000011 => 1100011
1100100 => 0100100 => 1100100
1100101 => 1000101 => 1100101
1100110 => 1000110 => 1100110
1100111 => 0100111 => 1100111
1101000 => 0101000 => 1101000
1101001 => 1001001 => 1101001
1101010 => 1001010 => 1101010
1101011 => 0101011 => 1101011
1101100 => 1001100 => 1101100
1101101 => 0101101 => 1101101
1101110 => 0101110 => 1101110
1101111 => 1001111 => 1101111
1110000 => 0110000 => 1110000
1110001 => 1010001 => 1110001
1110010 => 1010010 => 1110010
1110011 => 0110011 => 1110011
1110100 => 1010100 => 1110100
1110101 => 0110101 => 1110101
1110110 => 0110110 => 1110110
1110111 => 1010111 => 1110111
1111000 => 1011000 => 1111000
1111001 => 0111001 => 1111001
1111010 => 0111010 => 1111010
1111011 => 1011011 => 1111011
1111100 => 0111100 => 1111100
1111101 => 1011101 => 1111101
1111110 => 1011110 => 1111110
1111111 => 0111111 => 1111111
00000000 => 00000001 => 00000000
00000001 => 10000001 => 00000001
00000010 => 10000010 => 00000010
00000011 => 00000010 => 00000011
00000100 => 10000100 => 00000100
00000101 => 00000111 => 00000101
00000110 => 00000100 => 00000110
00000111 => 10000111 => 00000111
00001000 => 10001000 => 00001000
00001001 => 00001101 => 00001001
00001010 => 00001110 => 00001010
00001011 => 10001011 => 00001011
00001100 => 00001000 => 00001100
00001101 => 10001101 => 00001101
00001110 => 10001110 => 00001110
00001111 => 00001011 => 00001111
00010000 => 10010000 => 00010000
00010001 => 00011001 => 00010001
00010010 => 00011010 => 00010010
00010011 => 10010011 => 00010011
00010100 => 00011100 => 00010100
00010101 => 10010101 => 00010101
00010110 => 10010110 => 00010110
00010111 => 00011111 => 00010111
00011000 => 00010000 => 00011000
00011001 => 10011001 => 00011001
00011010 => 10011010 => 00011010
00011011 => 00010011 => 00011011
00011100 => 10011100 => 00011100
00011101 => 00010101 => 00011101
00011110 => 00010110 => 00011110
00011111 => 10011111 => 00011111
00100000 => 10100000 => 00100000
00100001 => 00110001 => 00100001
00100010 => 00110010 => 00100010
00100011 => 10100011 => 00100011
00100100 => 00110100 => 00100100
00100101 => 10100101 => 00100101
00100110 => 10100110 => 00100110
00100111 => 00110111 => 00100111
00101000 => 00111000 => 00101000
00101001 => 10101001 => 00101001
00101010 => 10101010 => 00101010
00101011 => 00111011 => 00101011
00101100 => 10101100 => 00101100
00101101 => 00111101 => 00101101
00101110 => 00111110 => 00101110
00101111 => 10101111 => 00101111
00110000 => 00100000 => 00110000
00110001 => 10110001 => 00110001
00110010 => 10110010 => 00110010
00110011 => 00100011 => 00110011
00110100 => 10110100 => 00110100
00110101 => 00100101 => 00110101
00110110 => 00100110 => 00110110
00110111 => 10110111 => 00110111
00111000 => 10111000 => 00111000
00111001 => 00101001 => 00111001
00111010 => 00101010 => 00111010
00111011 => 10111011 => 00111011
00111100 => 00101100 => 00111100
00111101 => 10111101 => 00111101
00111110 => 10111110 => 00111110
00111111 => 00101111 => 00111111
01000000 => 11000000 => 01000000
01000001 => 01100001 => 01000001
01000010 => 01100010 => 01000010
01000011 => 11000011 => 01000011
01000100 => 01100100 => 01000100
01000101 => 11000101 => 01000101
01000110 => 11000110 => 01000110
01000111 => 01100111 => 01000111
01001000 => 01101000 => 01001000
01001001 => 11001001 => 01001001
01001010 => 11001010 => 01001010
01001011 => 01101011 => 01001011
01001100 => 11001100 => 01001100
01001101 => 01101101 => 01001101
01001110 => 01101110 => 01001110
01001111 => 11001111 => 01001111
01010000 => 01110000 => 01010000
01010001 => 11010001 => 01010001
01010010 => 11010010 => 01010010
01010011 => 01110011 => 01010011
01010100 => 11010100 => 01010100
01010101 => 01110101 => 01010101
01010110 => 01110110 => 01010110
01010111 => 11010111 => 01010111
01011000 => 11011000 => 01011000
01011001 => 01111001 => 01011001
01011010 => 01111010 => 01011010
01011011 => 11011011 => 01011011
01011100 => 01111100 => 01011100
01011101 => 11011101 => 01011101
01011110 => 11011110 => 01011110
01011111 => 01111111 => 01011111
01100000 => 01000000 => 01100000
01100001 => 11100001 => 01100001
01100010 => 11100010 => 01100010
01100011 => 01000011 => 01100011
01100100 => 11100100 => 01100100
01100101 => 01000101 => 01100101
01100110 => 01000110 => 01100110
01100111 => 11100111 => 01100111
01101000 => 11101000 => 01101000
01101001 => 01001001 => 01101001
01101010 => 01001010 => 01101010
01101011 => 11101011 => 01101011
01101100 => 01001100 => 01101100
01101101 => 11101101 => 01101101
01101110 => 11101110 => 01101110
01101111 => 01001111 => 01101111
01110000 => 11110000 => 01110000
01110001 => 01010001 => 01110001
01110010 => 01010010 => 01110010
01110011 => 11110011 => 01110011
01110100 => 01010100 => 01110100
01110101 => 11110101 => 01110101
01110110 => 11110110 => 01110110
01110111 => 01010111 => 01110111
01111000 => 01011000 => 01111000
01111001 => 11111001 => 01111001
01111010 => 11111010 => 01111010
01111011 => 01011011 => 01111011
01111100 => 11111100 => 01111100
01111101 => 01011101 => 01111101
01111110 => 01011110 => 01111110
01111111 => 11111111 => 01111111
10000000 => 00000000 => 10000000
10000001 => 11000001 => 10000001
10000010 => 11000010 => 10000010
10000011 => 00000011 => 10000011
10000100 => 11000100 => 10000100
10000101 => 00000101 => 10000101
10000110 => 00000110 => 10000110
10000111 => 11000111 => 10000111
10001000 => 11001000 => 10001000
10001001 => 00001001 => 10001001
10001010 => 00001010 => 10001010
10001011 => 11001011 => 10001011
10001100 => 00001100 => 10001100
10001101 => 11001101 => 10001101
10001110 => 11001110 => 10001110
10001111 => 00001111 => 10001111
10010000 => 11010000 => 10010000
10010001 => 00010001 => 10010001
10010010 => 00010010 => 10010010
10010011 => 11010011 => 10010011
10010100 => 00010100 => 10010100
10010101 => 11010101 => 10010101
10010110 => 11010110 => 10010110
10010111 => 00010111 => 10010111
10011000 => 00011000 => 10011000
10011001 => 11011001 => 10011001
10011010 => 11011010 => 10011010
10011011 => 00011011 => 10011011
10011100 => 11011100 => 10011100
10011101 => 00011101 => 10011101
10011110 => 00011110 => 10011110
10011111 => 11011111 => 10011111
10100000 => 11100000 => 10100000
10100001 => 00100001 => 10100001
10100010 => 00100010 => 10100010
10100011 => 11100011 => 10100011
10100100 => 00100100 => 10100100
10100101 => 11100101 => 10100101
10100110 => 11100110 => 10100110
10100111 => 00100111 => 10100111
10101000 => 00101000 => 10101000
10101001 => 11101001 => 10101001
10101010 => 11101010 => 10101010
10101011 => 00101011 => 10101011
10101100 => 11101100 => 10101100
10101101 => 00101101 => 10101101
10101110 => 00101110 => 10101110
10101111 => 11101111 => 10101111
10110000 => 00110000 => 10110000
10110001 => 11110001 => 10110001
10110010 => 11110010 => 10110010
10110011 => 00110011 => 10110011
10110100 => 11110100 => 10110100
10110101 => 00110101 => 10110101
10110110 => 00110110 => 10110110
10110111 => 11110111 => 10110111
10111000 => 11111000 => 10111000
10111001 => 00111001 => 10111001
10111010 => 00111010 => 10111010
10111011 => 11111011 => 10111011
10111100 => 00111100 => 10111100
10111101 => 11111101 => 10111101
10111110 => 11111110 => 10111110
10111111 => 00111111 => 10111111
11000000 => 10000000 => 11000000
11000001 => 01000001 => 11000001
11000010 => 01000010 => 11000010
11000011 => 10000011 => 11000011
11000100 => 01000100 => 11000100
11000101 => 10000101 => 11000101
11000110 => 10000110 => 11000110
11000111 => 01000111 => 11000111
11001000 => 01001000 => 11001000
11001001 => 10001001 => 11001001
11001010 => 10001010 => 11001010
11001011 => 01001011 => 11001011
11001100 => 10001100 => 11001100
11001101 => 01001101 => 11001101
11001110 => 01001110 => 11001110
11001111 => 10001111 => 11001111
11010000 => 01010000 => 11010000
11010001 => 10010001 => 11010001
11010010 => 10010010 => 11010010
11010011 => 01010011 => 11010011
11010100 => 10010100 => 11010100
11010101 => 01010101 => 11010101
11010110 => 01010110 => 11010110
11010111 => 10010111 => 11010111
11011000 => 10011000 => 11011000
11011001 => 01011001 => 11011001
11011010 => 01011010 => 11011010
11011011 => 10011011 => 11011011
11011100 => 01011100 => 11011100
11011101 => 10011101 => 11011101
11011110 => 10011110 => 11011110
11011111 => 01011111 => 11011111
11100000 => 01100000 => 11100000
11100001 => 10100001 => 11100001
11100010 => 10100010 => 11100010
11100011 => 01100011 => 11100011
11100100 => 10100100 => 11100100
11100101 => 01100101 => 11100101
11100110 => 01100110 => 11100110
11100111 => 10100111 => 11100111
11101000 => 10101000 => 11101000
11101001 => 01101001 => 11101001
11101010 => 01101010 => 11101010
11101011 => 10101011 => 11101011
11101100 => 01101100 => 11101100
11101101 => 10101101 => 11101101
11101110 => 10101110 => 11101110
11101111 => 01101111 => 11101111
11110000 => 10110000 => 11110000
11110001 => 01110001 => 11110001
11110010 => 01110010 => 11110010
11110011 => 10110011 => 11110011
11110100 => 01110100 => 11110100
11110101 => 10110101 => 11110101
11110110 => 10110110 => 11110110
11110111 => 01110111 => 11110111
11111000 => 01111000 => 11111000
11111001 => 10111001 => 11111001
11111010 => 10111010 => 11111010
11111011 => 01111011 => 11111011
11111100 => 10111100 => 11111100
11111101 => 01111101 => 11111101
11111110 => 01111110 => 11111110
11111111 => 10111111 => 11111111
000000000 => 000000001 => 000000000
000000001 => 100000001 => 000000001
000000010 => 100000010 => 000000010
000000011 => 000000010 => 000000011
000000100 => 100000100 => 000000100
000000101 => 000000111 => 000000101
000000110 => 000000100 => 000000110
000000111 => 100000111 => 000000111
000001000 => 100001000 => 000001000
000001001 => 000001101 => 000001001
000001010 => 000001110 => 000001010
000001011 => 100001011 => 000001011
000001100 => 000001000 => 000001100
000001101 => 100001101 => 000001101
000001110 => 100001110 => 000001110
000001111 => 000001011 => 000001111
000010000 => 100010000 => 000010000
000010001 => 000011001 => 000010001
000010010 => 000011010 => 000010010
000010011 => 100010011 => 000010011
000010100 => 000011100 => 000010100
000010101 => 100010101 => 000010101
000010110 => 100010110 => 000010110
000010111 => 000011111 => 000010111
000011000 => 000010000 => 000011000
000011001 => 100011001 => 000011001
000011010 => 100011010 => 000011010
000011011 => 000010011 => 000011011
000011100 => 100011100 => 000011100
000011101 => 000010101 => 000011101
000011110 => 000010110 => 000011110
000011111 => 100011111 => 000011111
000100000 => 100100000 => 000100000
000100001 => 000110001 => 000100001
000100010 => 000110010 => 000100010
000100011 => 100100011 => 000100011
000100100 => 000110100 => 000100100
000100101 => 100100101 => 000100101
000100110 => 100100110 => 000100110
000100111 => 000110111 => 000100111
000101000 => 000111000 => 000101000
000101001 => 100101001 => 000101001
000101010 => 100101010 => 000101010
000101011 => 000111011 => 000101011
000101100 => 100101100 => 000101100
000101101 => 000111101 => 000101101
000101110 => 000111110 => 000101110
000101111 => 100101111 => 000101111
000110000 => 000100000 => 000110000
000110001 => 100110001 => 000110001
000110010 => 100110010 => 000110010
000110011 => 000100011 => 000110011
000110100 => 100110100 => 000110100
000110101 => 000100101 => 000110101
000110110 => 000100110 => 000110110
000110111 => 100110111 => 000110111
000111000 => 100111000 => 000111000
000111001 => 000101001 => 000111001
000111010 => 000101010 => 000111010
000111011 => 100111011 => 000111011
000111100 => 000101100 => 000111100
000111101 => 100111101 => 000111101
000111110 => 100111110 => 000111110
000111111 => 000101111 => 000111111
001000000 => 101000000 => 001000000
001000001 => 001100001 => 001000001
001000010 => 001100010 => 001000010
001000011 => 101000011 => 001000011
001000100 => 001100100 => 001000100
001000101 => 101000101 => 001000101
001000110 => 101000110 => 001000110
001000111 => 001100111 => 001000111
001001000 => 001101000 => 001001000
001001001 => 101001001 => 001001001
001001010 => 101001010 => 001001010
001001011 => 001101011 => 001001011
001001100 => 101001100 => 001001100
001001101 => 001101101 => 001001101
001001110 => 001101110 => 001001110
001001111 => 101001111 => 001001111
001010000 => 001110000 => 001010000
001010001 => 101010001 => 001010001
001010010 => 101010010 => 001010010
001010011 => 001110011 => 001010011
001010100 => 101010100 => 001010100
001010101 => 001110101 => 001010101
001010110 => 001110110 => 001010110
001010111 => 101010111 => 001010111
001011000 => 101011000 => 001011000
001011001 => 001111001 => 001011001
001011010 => 001111010 => 001011010
001011011 => 101011011 => 001011011
001011100 => 001111100 => 001011100
001011101 => 101011101 => 001011101
001011110 => 101011110 => 001011110
001011111 => 001111111 => 001011111
001100000 => 001000000 => 001100000
001100001 => 101100001 => 001100001
001100010 => 101100010 => 001100010
001100011 => 001000011 => 001100011
001100100 => 101100100 => 001100100
001100101 => 001000101 => 001100101
001100110 => 001000110 => 001100110
001100111 => 101100111 => 001100111
001101000 => 101101000 => 001101000
001101001 => 001001001 => 001101001
001101010 => 001001010 => 001101010
001101011 => 101101011 => 001101011
001101100 => 001001100 => 001101100
001101101 => 101101101 => 001101101
001101110 => 101101110 => 001101110
001101111 => 001001111 => 001101111
001110000 => 101110000 => 001110000
001110001 => 001010001 => 001110001
001110010 => 001010010 => 001110010
001110011 => 101110011 => 001110011
001110100 => 001010100 => 001110100
001110101 => 101110101 => 001110101
001110110 => 101110110 => 001110110
001110111 => 001010111 => 001110111
001111000 => 001011000 => 001111000
001111001 => 101111001 => 001111001
001111010 => 101111010 => 001111010
001111011 => 001011011 => 001111011
001111100 => 101111100 => 001111100
001111101 => 001011101 => 001111101
001111110 => 001011110 => 001111110
001111111 => 101111111 => 001111111
010000000 => 110000000 => 010000000
010000001 => 011000001 => 010000001
010000010 => 011000010 => 010000010
010000011 => 110000011 => 010000011
010000100 => 011000100 => 010000100
010000101 => 110000101 => 010000101
010000110 => 110000110 => 010000110
010000111 => 011000111 => 010000111
010001000 => 011001000 => 010001000
010001001 => 110001001 => 010001001
010001010 => 110001010 => 010001010
010001011 => 011001011 => 010001011
010001100 => 110001100 => 010001100
010001101 => 011001101 => 010001101
010001110 => 011001110 => 010001110
010001111 => 110001111 => 010001111
010010000 => 011010000 => 010010000
010010001 => 110010001 => 010010001
010010010 => 110010010 => 010010010
010010011 => 011010011 => 010010011
010010100 => 110010100 => 010010100
010010101 => 011010101 => 010010101
010010110 => 011010110 => 010010110
010010111 => 110010111 => 010010111
010011000 => 110011000 => 010011000
010011001 => 011011001 => 010011001
010011010 => 011011010 => 010011010
010011011 => 110011011 => 010011011
010011100 => 011011100 => 010011100
010011101 => 110011101 => 010011101
010011110 => 110011110 => 010011110
010011111 => 011011111 => 010011111
010100000 => 011100000 => 010100000
010100001 => 110100001 => 010100001
010100010 => 110100010 => 010100010
010100011 => 011100011 => 010100011
010100100 => 110100100 => 010100100
010100101 => 011100101 => 010100101
010100110 => 011100110 => 010100110
010100111 => 110100111 => 010100111
010101000 => 110101000 => 010101000
010101001 => 011101001 => 010101001
010101010 => 011101010 => 010101010
010101011 => 110101011 => 010101011
010101100 => 011101100 => 010101100
010101101 => 110101101 => 010101101
010101110 => 110101110 => 010101110
010101111 => 011101111 => 010101111
010110000 => 110110000 => 010110000
010110001 => 011110001 => 010110001
010110010 => 011110010 => 010110010
010110011 => 110110011 => 010110011
010110100 => 011110100 => 010110100
010110101 => 110110101 => 010110101
010110110 => 110110110 => 010110110
010110111 => 011110111 => 010110111
010111000 => 011111000 => 010111000
010111001 => 110111001 => 010111001
010111010 => 110111010 => 010111010
010111011 => 011111011 => 010111011
010111100 => 110111100 => 010111100
010111101 => 011111101 => 010111101
010111110 => 011111110 => 010111110
010111111 => 110111111 => 010111111
011000000 => 010000000 => 011000000
011000001 => 111000001 => 011000001
011000010 => 111000010 => 011000010
011000011 => 010000011 => 011000011
011000100 => 111000100 => 011000100
011000101 => 010000101 => 011000101
011000110 => 010000110 => 011000110
011000111 => 111000111 => 011000111
011001000 => 111001000 => 011001000
011001001 => 010001001 => 011001001
011001010 => 010001010 => 011001010
011001011 => 111001011 => 011001011
011001100 => 010001100 => 011001100
011001101 => 111001101 => 011001101
011001110 => 111001110 => 011001110
011001111 => 010001111 => 011001111
011010000 => 111010000 => 011010000
011010001 => 010010001 => 011010001
011010010 => 010010010 => 011010010
011010011 => 111010011 => 011010011
011010100 => 010010100 => 011010100
011010101 => 111010101 => 011010101
011010110 => 111010110 => 011010110
011010111 => 010010111 => 011010111
011011000 => 010011000 => 011011000
011011001 => 111011001 => 011011001
011011010 => 111011010 => 011011010
011011011 => 010011011 => 011011011
011011100 => 111011100 => 011011100
011011101 => 010011101 => 011011101
011011110 => 010011110 => 011011110
011011111 => 111011111 => 011011111
011100000 => 111100000 => 011100000
011100001 => 010100001 => 011100001
011100010 => 010100010 => 011100010
011100011 => 111100011 => 011100011
011100100 => 010100100 => 011100100
011100101 => 111100101 => 011100101
011100110 => 111100110 => 011100110
011100111 => 010100111 => 011100111
011101000 => 010101000 => 011101000
011101001 => 111101001 => 011101001
011101010 => 111101010 => 011101010
011101011 => 010101011 => 011101011
011101100 => 111101100 => 011101100
011101101 => 010101101 => 011101101
011101110 => 010101110 => 011101110
011101111 => 111101111 => 011101111
011110000 => 010110000 => 011110000
011110001 => 111110001 => 011110001
011110010 => 111110010 => 011110010
011110011 => 010110011 => 011110011
011110100 => 111110100 => 011110100
011110101 => 010110101 => 011110101
011110110 => 010110110 => 011110110
011110111 => 111110111 => 011110111
011111000 => 111111000 => 011111000
011111001 => 010111001 => 011111001
011111010 => 010111010 => 011111010
011111011 => 111111011 => 011111011
011111100 => 010111100 => 011111100
011111101 => 111111101 => 011111101
011111110 => 111111110 => 011111110
011111111 => 010111111 => 011111111
100000000 => 000000000 => 100000000
100000001 => 110000001 => 100000001
100000010 => 110000010 => 100000010
100000011 => 000000011 => 100000011
100000100 => 110000100 => 100000100
100000101 => 000000101 => 100000101
100000110 => 000000110 => 100000110
100000111 => 110000111 => 100000111
100001000 => 110001000 => 100001000
100001001 => 000001001 => 100001001
100001010 => 000001010 => 100001010
100001011 => 110001011 => 100001011
100001100 => 000001100 => 100001100
100001101 => 110001101 => 100001101
100001110 => 110001110 => 100001110
100001111 => 000001111 => 100001111
100010000 => 110010000 => 100010000
100010001 => 000010001 => 100010001
100010010 => 000010010 => 100010010
100010011 => 110010011 => 100010011
100010100 => 000010100 => 100010100
100010101 => 110010101 => 100010101
100010110 => 110010110 => 100010110
100010111 => 000010111 => 100010111
100011000 => 000011000 => 100011000
100011001 => 110011001 => 100011001
100011010 => 110011010 => 100011010
100011011 => 000011011 => 100011011
100011100 => 110011100 => 100011100
100011101 => 000011101 => 100011101
100011110 => 000011110 => 100011110
100011111 => 110011111 => 100011111
100100000 => 110100000 => 100100000
100100001 => 000100001 => 100100001
100100010 => 000100010 => 100100010
100100011 => 110100011 => 100100011
100100100 => 000100100 => 100100100
100100101 => 110100101 => 100100101
100100110 => 110100110 => 100100110
100100111 => 000100111 => 100100111
100101000 => 000101000 => 100101000
100101001 => 110101001 => 100101001
100101010 => 110101010 => 100101010
100101011 => 000101011 => 100101011
100101100 => 110101100 => 100101100
100101101 => 000101101 => 100101101
100101110 => 000101110 => 100101110
100101111 => 110101111 => 100101111
100110000 => 000110000 => 100110000
100110001 => 110110001 => 100110001
100110010 => 110110010 => 100110010
100110011 => 000110011 => 100110011
100110100 => 110110100 => 100110100
100110101 => 000110101 => 100110101
100110110 => 000110110 => 100110110
100110111 => 110110111 => 100110111
100111000 => 110111000 => 100111000
100111001 => 000111001 => 100111001
100111010 => 000111010 => 100111010
100111011 => 110111011 => 100111011
100111100 => 000111100 => 100111100
100111101 => 110111101 => 100111101
100111110 => 110111110 => 100111110
100111111 => 000111111 => 100111111
101000000 => 111000000 => 101000000
101000001 => 001000001 => 101000001
101000010 => 001000010 => 101000010
101000011 => 111000011 => 101000011
101000100 => 001000100 => 101000100
101000101 => 111000101 => 101000101
101000110 => 111000110 => 101000110
101000111 => 001000111 => 101000111
101001000 => 001001000 => 101001000
101001001 => 111001001 => 101001001
101001010 => 111001010 => 101001010
101001011 => 001001011 => 101001011
101001100 => 111001100 => 101001100
101001101 => 001001101 => 101001101
101001110 => 001001110 => 101001110
101001111 => 111001111 => 101001111
101010000 => 001010000 => 101010000
101010001 => 111010001 => 101010001
101010010 => 111010010 => 101010010
101010011 => 001010011 => 101010011
101010100 => 111010100 => 101010100
101010101 => 001010101 => 101010101
101010110 => 001010110 => 101010110
101010111 => 111010111 => 101010111
101011000 => 111011000 => 101011000
101011001 => 001011001 => 101011001
101011010 => 001011010 => 101011010
101011011 => 111011011 => 101011011
101011100 => 001011100 => 101011100
101011101 => 111011101 => 101011101
101011110 => 111011110 => 101011110
101011111 => 001011111 => 101011111
101100000 => 001100000 => 101100000
101100001 => 111100001 => 101100001
101100010 => 111100010 => 101100010
101100011 => 001100011 => 101100011
101100100 => 111100100 => 101100100
101100101 => 001100101 => 101100101
101100110 => 001100110 => 101100110
101100111 => 111100111 => 101100111
101101000 => 111101000 => 101101000
101101001 => 001101001 => 101101001
101101010 => 001101010 => 101101010
101101011 => 111101011 => 101101011
101101100 => 001101100 => 101101100
101101101 => 111101101 => 101101101
101101110 => 111101110 => 101101110
101101111 => 001101111 => 101101111
101110000 => 111110000 => 101110000
101110001 => 001110001 => 101110001
101110010 => 001110010 => 101110010
101110011 => 111110011 => 101110011
101110100 => 001110100 => 101110100
101110101 => 111110101 => 101110101
101110110 => 111110110 => 101110110
101110111 => 001110111 => 101110111
101111000 => 001111000 => 101111000
101111001 => 111111001 => 101111001
101111010 => 111111010 => 101111010
101111011 => 001111011 => 101111011
101111100 => 111111100 => 101111100
101111101 => 001111101 => 101111101
101111110 => 001111110 => 101111110
101111111 => 111111111 => 101111111
110000000 => 100000000 => 110000000
110000001 => 010000001 => 110000001
110000010 => 010000010 => 110000010
110000011 => 100000011 => 110000011
110000100 => 010000100 => 110000100
110000101 => 100000101 => 110000101
110000110 => 100000110 => 110000110
110000111 => 010000111 => 110000111
110001000 => 010001000 => 110001000
110001001 => 100001001 => 110001001
110001010 => 100001010 => 110001010
110001011 => 010001011 => 110001011
110001100 => 100001100 => 110001100
110001101 => 010001101 => 110001101
110001110 => 010001110 => 110001110
110001111 => 100001111 => 110001111
110010000 => 010010000 => 110010000
110010001 => 100010001 => 110010001
110010010 => 100010010 => 110010010
110010011 => 010010011 => 110010011
110010100 => 100010100 => 110010100
110010101 => 010010101 => 110010101
110010110 => 010010110 => 110010110
110010111 => 100010111 => 110010111
110011000 => 100011000 => 110011000
110011001 => 010011001 => 110011001
110011010 => 010011010 => 110011010
110011011 => 100011011 => 110011011
110011100 => 010011100 => 110011100
110011101 => 100011101 => 110011101
110011110 => 100011110 => 110011110
110011111 => 010011111 => 110011111
110100000 => 010100000 => 110100000
110100001 => 100100001 => 110100001
110100010 => 100100010 => 110100010
110100011 => 010100011 => 110100011
110100100 => 100100100 => 110100100
110100101 => 010100101 => 110100101
110100110 => 010100110 => 110100110
110100111 => 100100111 => 110100111
110101000 => 100101000 => 110101000
110101001 => 010101001 => 110101001
110101010 => 010101010 => 110101010
110101011 => 100101011 => 110101011
110101100 => 010101100 => 110101100
110101101 => 100101101 => 110101101
110101110 => 100101110 => 110101110
110101111 => 010101111 => 110101111
110110000 => 100110000 => 110110000
110110001 => 010110001 => 110110001
110110010 => 010110010 => 110110010
110110011 => 100110011 => 110110011
110110100 => 010110100 => 110110100
110110101 => 100110101 => 110110101
110110110 => 100110110 => 110110110
110110111 => 010110111 => 110110111
110111000 => 010111000 => 110111000
110111001 => 100111001 => 110111001
110111010 => 100111010 => 110111010
110111011 => 010111011 => 110111011
110111100 => 100111100 => 110111100
110111101 => 010111101 => 110111101
110111110 => 010111110 => 110111110
110111111 => 100111111 => 110111111
111000000 => 011000000 => 111000000
111000001 => 101000001 => 111000001
111000010 => 101000010 => 111000010
111000011 => 011000011 => 111000011
111000100 => 101000100 => 111000100
111000101 => 011000101 => 111000101
111000110 => 011000110 => 111000110
111000111 => 101000111 => 111000111
111001000 => 101001000 => 111001000
111001001 => 011001001 => 111001001
111001010 => 011001010 => 111001010
111001011 => 101001011 => 111001011
111001100 => 011001100 => 111001100
111001101 => 101001101 => 111001101
111001110 => 101001110 => 111001110
111001111 => 011001111 => 111001111
111010000 => 101010000 => 111010000
111010001 => 011010001 => 111010001
111010010 => 011010010 => 111010010
111010011 => 101010011 => 111010011
111010100 => 011010100 => 111010100
111010101 => 101010101 => 111010101
111010110 => 101010110 => 111010110
111010111 => 011010111 => 111010111
111011000 => 011011000 => 111011000
111011001 => 101011001 => 111011001
111011010 => 101011010 => 111011010
111011011 => 011011011 => 111011011
111011100 => 101011100 => 111011100
111011101 => 011011101 => 111011101
111011110 => 011011110 => 111011110
111011111 => 101011111 => 111011111
111100000 => 101100000 => 111100000
111100001 => 011100001 => 111100001
111100010 => 011100010 => 111100010
111100011 => 101100011 => 111100011
111100100 => 011100100 => 111100100
111100101 => 101100101 => 111100101
111100110 => 101100110 => 111100110
111100111 => 011100111 => 111100111
111101000 => 011101000 => 111101000
111101001 => 101101001 => 111101001
111101010 => 101101010 => 111101010
111101011 => 011101011 => 111101011
111101100 => 101101100 => 111101100
111101101 => 011101101 => 111101101
111101110 => 011101110 => 111101110
111101111 => 101101111 => 111101111
111110000 => 011110000 => 111110000
111110001 => 101110001 => 111110001
111110010 => 101110010 => 111110010
111110011 => 011110011 => 111110011
111110100 => 101110100 => 111110100
111110101 => 011110101 => 111110101
111110110 => 011110110 => 111110110
111110111 => 101110111 => 111110111
111111000 => 101111000 => 111111000
111111001 => 011111001 => 111111001
111111010 => 011111010 => 111111010
111111011 => 101111011 => 111111011
111111100 => 011111100 => 111111100
111111101 => 101111101 => 111111101
111111110 => 101111110 => 111111110
111111111 => 011111111 => 111111111
1010101010 => 0010101010 => 1010101010
1010101100 => 0010101100 => 1010101100
1010110010 => 0010110010 => 1010110010
1010110100 => 0010110100 => 1010110100
1010111000 => 0010111000 => 1010111000
1011001010 => 0011001010 => 1011001010
1011001100 => 0011001100 => 1011001100
1011010010 => 0011010010 => 1011010010
1011010100 => 0011010100 => 1011010100
1011011000 => 0011011000 => 1011011000
1011100010 => 0011100010 => 1011100010
1011100100 => 0011100100 => 1011100100
1011101000 => 0011101000 => 1011101000
1011110000 => 0011110000 => 1011110000
1100101010 => 0100101010 => 1100101010
1100101100 => 0100101100 => 1100101100
1100110010 => 0100110010 => 1100110010
1100110100 => 0100110100 => 1100110100
1100111000 => 0100111000 => 1100111000
1101001010 => 0101001010 => 1101001010
1101001100 => 0101001100 => 1101001100
1101010010 => 0101010010 => 1101010010
1101010100 => 0101010100 => 1101010100
1101011000 => 0101011000 => 1101011000
1101100010 => 0101100010 => 1101100010
1101100100 => 0101100100 => 1101100100
1101101000 => 0101101000 => 1101101000
1101110000 => 0101110000 => 1101110000
1110001010 => 0110001010 => 1110001010
1110001100 => 0110001100 => 1110001100
1110010010 => 0110010010 => 1110010010
1110010100 => 0110010100 => 1110010100
1110011000 => 0110011000 => 1110011000
1110100010 => 0110100010 => 1110100010
1110100100 => 0110100100 => 1110100100
1110101000 => 0110101000 => 1110101000
1110110000 => 0110110000 => 1110110000
1111000010 => 0111000010 => 1111000010
1111000100 => 0111000100 => 1111000100
1111001000 => 0111001000 => 1111001000
1111010000 => 0111010000 => 1111010000
1111100000 => 0111100000 => 1111100000
1111111110 => 0111111110 => 1111111110
1111100001 => 1011100001 => 1111100001
1110110001 => 1010110001 => 1110110001
1110100101 => 1010100101 => 1110100101
1110011001 => 1010011001 => 1110011001
1101111110 => 1001111110 => 1101111110
1101010101 => 1001010101 => 1101010101
1100101011 => 1000101011 => 1100101011
1100001011 => 0100001011 => 1100001011
1011111110 => 1111111110 => 1011111110
1011111101 => 1111111101 => 1011111101
1011000001 => 1111000001 => 1011000001
1010111110 => 0010111110 => 1010111110
1010101011 => 1110101011 => 1010101011
1010010001 => 1110010001 => 1010010001
1010000101 => 1110000101 => 1010000101
1001111110 => 0001111110 => 1001111110
1001100001 => 1101100001 => 1001100001
1000110001 => 1100110001 => 1000110001
1000101110 => 0000101110 => 1000101110
1000100101 => 1100100101 => 1000100101
1000011110 => 0000011110 => 1000011110
1000011001 => 1100011001 => 1000011001
1000001010 => 0000001010 => 1000001010
1000000110 => 0000000110 => 1000000110
1000000000 => 0000000000 => 1000000000
10000000000 => 00000000000 => 10000000000
10000000110 => 00000000110 => 10000000110
10000011110 => 00000011110 => 10000011110
10001111110 => 00001111110 => 10001111110
10011111110 => 11011111110 => 10011111110
10111111110 => 00111111110 => 10111111110
11111111110 => 10111111110 => 11111111110
0111111111 => 1111111111 => 0111111111
0111111101 => 0101111101 => 0111111101
0111111001 => 1111111001 => 0111111001
0111110001 => 0101110001 => 0111110001
0111100001 => 1111100001 => 0111100001
0111000001 => 0101000001 => 0111000001
0110000001 => 1110000001 => 0110000001
0100000001 => 0110000001 => 0100000001
0000000001 => 1000000001 => 0000000001
01111111111 => 01011111111 => 01111111111
01111111101 => 11111111101 => 01111111101
0111101001 => 0101101001 => 0111101001
01000000001 => 01100000001 => 01000000001
0101010101 => 1101010101 => 0101010101
0101010011 => 1101010011 => 0101010011
0101001011 => 1101001011 => 0101001011
0100101011 => 1100101011 => 0100101011
0011001101 => 1011001101 => 0011001101
0011000111 => 1011000111 => 0011000111
0010110101 => 1010110101 => 0010110101
0010101011 => 1010101011 => 0010101011
0010011101 => 1010011101 => 0010011101
0010010111 => 1010010111 => 0010010111
0001101101 => 1001101101 => 0001101101
0001100111 => 1001100111 => 0001100111
0000111101 => 1000111101 => 0000111101
0000110111 => 1000110111 => 0000110111
0000011111 => 1000011111 => 0000011111
11010101010 => 10010101010 => 11010101010
11010100100 => 01010100100 => 11010100100
11010010100 => 01010010100 => 11010010100
11001010100 => 01001010100 => 11001010100
11101010100 => 10101010100 => 11101010100
10101010100 => 00101010100 => 10101010100
Map
Gray previous
Description
The previous element in the Gray code for binary words.
Let $w$ be a binary word. If the number of ones in $w$ is odd, return the binary word obtained by flipping the first bit of $w$. If $w$ has only zeros, return the word with the final bit flipped. Otherwise, return the word obtained by flipping the bit after the first one.
Map
Gray next
Description
The next element in the Gray code for binary words.
Let $w$ be a binary word. If the number of ones in $w$ is even, return the binary word obtained by flipping the first bit of $w$. If the only one in $w$ is the final bit, return the zero word. Otherwise, return the word obtained by flipping the bit after the first one.