Identifier
Mp00104: Binary words reverseBinary words
Mp00268: Binary words zeros to flag zerosBinary words
Mp00200: Binary words twistBinary words
Images
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1001101101=>1011011001=>1101110001=>0101110001 1001010011=>1100101001=>0010011011=>1010011011 1001000111=>1110001001=>0010010111=>1010010111 1000110111=>1110110001=>1101000111=>0101000111 1000101011=>1101010001=>0010110011=>1010110011 1000011111=>1111100001=>1101011111=>0101011111 1000010111=>1110100001=>0010100111=>1010100111 1000010110=>0110100001=>1101011000=>0101011000 1000001101=>1011000001=>1101010001=>0101010001 1000000010=>0100000001=>1101010100=>0101010100 1000000001=>1000000001=>1101010101=>0101010101 10111111110=>01111111101=>11000000000=>01000000000 100001101110=>011101100001=>110101110000=>010101110000 100100101110=>011101001001=>110110110000=>010110110000 100010110110=>011011010001=>110100111000=>010100111000 101000110110=>011011000101=>110010111000=>010010111000 100110001110=>011100011001=>110111010000=>010111010000 100101010110=>011010101001=>110110011000=>010110011000 0111111111=>1111111110=>0111111111=>1111111111 0111111101=>1011111110=>1000000001=>0000000001 0111111001=>1001111110=>0111111101=>1111111101 0111110001=>1000111110=>1000000101=>0000000101 0111100001=>1000011110=>0111110101=>1111110101 0111000001=>1000001110=>1000010101=>0000010101 0110000001=>1000000110=>0111010101=>1111010101 0100000001=>1000000010=>1001010101=>0001010101 0000000001=>1000000000=>0101010101=>1101010101 01111111111=>11111111110=>01111111111=>11111111111 01111111101=>10111111110=>10000000001=>00000000001 0111111011=>1101111110=>1000000011=>0000000011 0111110101=>1010111110=>0111111001=>1111111001 0111101001=>1001011110=>1000001101=>0000001101 0111010001=>1000101110=>0111100101=>1111100101 0110100001=>1000010110=>1000110101=>0000110101 0101000001=>1000001010=>0110010101=>1110010101 01100000001=>10000000110=>10001010101=>00001010101 0010000001=>1000000100=>1011010101=>0011010101 01000000001=>10000000010=>01101010101=>11101010101 00000000001=>10000000000=>10101010101=>00101010101 0101010101=>1010101010=>0110011001=>1110011001 0101010011=>1100101010=>0110011011=>1110011011 0101001101=>1011001010=>0110010001=>1110010001 0101001011=>1101001010=>0110010011=>1110010011 0101000111=>1110001010=>0110010111=>1110010111 0100110101=>1010110010=>0110111001=>1110111001 0100110011=>1100110010=>0110111011=>1110111011 0100101101=>1011010010=>0110110001=>1110110001 0100101011=>1101010010=>0110110011=>1110110011 0100100111=>1110010010=>0110110111=>1110110111 0100011011=>1101100010=>0110100011=>1110100011 0100010111=>1110100010=>0110100111=>1110100111 0100001111=>1111000010=>0110101111=>1110101111 0011010101=>1010101100=>0100011001=>1100011001 0011010011=>1100101100=>0100011011=>1100011011 0011000111=>1110001100=>0100010111=>1100010111 0010110101=>1010110100=>0100111001=>1100111001 0010110011=>1100110100=>0100111011=>1100111011 0010101101=>1011010100=>0100110001=>1100110001 0010101011=>1101010100=>0100110011=>1100110011 0010011101=>1011100100=>0100100001=>1100100001 0010011011=>1101100100=>0100100011=>1100100011 0010010111=>1110100100=>0100100111=>1100100111 0010001111=>1111000100=>0100101111=>1100101111 0001110101=>1010111000=>0101111001=>1101111001 0001110011=>1100111000=>0101111011=>1101111011 0001101011=>1101011000=>0101110011=>1101110011 0001100111=>1110011000=>0101110111=>1101110111 0001011101=>1011101000=>0101100001=>1101100001 0001011011=>1101101000=>0101100011=>1101100011 0001010111=>1110101000=>0101100111=>1101100111 0001001111=>1111001000=>0101101111=>1101101111 0000110111=>1110110000=>0101000111=>1101000111 0000101111=>1111010000=>0101001111=>1101001111 0000011111=>1111100000=>0101011111=>1101011111 010101010101=>101010101010=>100110011001=>000110011001 010101001101=>101100101010=>100110010001=>000110010001 010101001011=>110100101010=>100110010011=>000110010011 010100110101=>101011001010=>100110111001=>000110111001 010100101101=>101101001010=>100110110001=>000110110001 010100101011=>110101001010=>100110110011=>000110110011 010100100111=>111001001010=>100110110111=>000110110111 010100011011=>110110001010=>100110100011=>000110100011 010100010111=>111010001010=>100110100111=>000110100111 010100001111=>111100001010=>100110101111=>000110101111 010011010101=>101010110010=>100100011001=>000100011001 010011010011=>110010110010=>100100011011=>000100011011 010011001101=>101100110010=>100100010001=>000100010001 010011001011=>110100110010=>100100010011=>000100010011 010011000111=>111000110010=>100100010111=>000100010111 010010110101=>101011010010=>100100111001=>000100111001 010010101101=>101101010010=>100100110001=>000100110001 010010101011=>110101010010=>100100110011=>000100110011 010010011101=>101110010010=>100100100001=>000100100001 010010011011=>110110010010=>100100100011=>000100100011 010010010111=>111010010010=>100100100111=>000100100111 010010001111=>111100010010=>100100101111=>000100101111 010001101101=>101101100010=>100101110001=>000101110001 010001101011=>110101100010=>100101110011=>000101110011 010001011101=>101110100010=>100101100001=>000101100001 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000110011011=>110110011000=>101000100011=>001000100011 000110010111=>111010011000=>101000100111=>001000100111 000110001111=>111100011000=>101000101111=>001000101111 000101110101=>101011101000=>101001111001=>001001111001 000101101101=>101101101000=>101001110001=>001001110001 000101101011=>110101101000=>101001110011=>001001110011 000101011101=>101110101000=>101001100001=>001001100001 000101011011=>110110101000=>101001100011=>001001100011 000101010111=>111010101000=>101001100111=>001001100111 000100111101=>101111001000=>101001000001=>001001000001 000100111011=>110111001000=>101001000011=>001001000011 000100110111=>111011001000=>101001000111=>001001000111 000100101111=>111101001000=>101001001111=>001001001111 000100011111=>111110001000=>101001011111=>001001011111 000011011011=>110110110000=>101011100011=>001011100011 000010111101=>101111010000=>101011000001=>001011000001 000010111011=>110111010000=>101011000011=>001011000011 000010110111=>111011010000=>101011000111=>001011000111 000010101111=>111101010000=>101011001111=>001011001111 000010011111=>111110010000=>101011011111=>001011011111 000001111011=>110111100000=>101010000011=>001010000011 000001110111=>111011100000=>101010000111=>001010000111 000001101111=>111101100000=>101010001111=>001010001111 000001011111=>111110100000=>101010011111=>001010011111 000000111111=>111111000000=>101010111111=>001010111111 111111111111=>111111111111=>111111111111=>011111111111 111110111101=>101111011111=>111111000001=>011111000001 111000001101=>101100000111=>111101010001=>011101010001 111000110001=>100011000111=>111101000101=>011101000101 111000111101=>101111000111=>111101000001=>011101000001 111000100101=>101001000111=>111101001001=>011101001001 111011000001=>100000110111=>111100010101=>011100010101 111011001101=>101100110111=>111100010001=>011100010001 111011110111=>111011110111=>111100000111=>011100000111 111010010001=>100010010111=>111100100101=>011100100101 111010011101=>101110010111=>111100100001=>011100100001 111010000101=>101000010111=>111100101001=>011100101001 100110001101=>101100011001=>110111010001=>010111010001 100110110001=>100011011001=>110111000101=>010111000101 100110111101=>101111011001=>110111000001=>010111000001 100110100101=>101001011001=>110111001001=>010111001001 100001101101=>101101100001=>110101110001=>010101110001 100000000001=>100000000001=>110101010101=>010101010101 100000001101=>101100000001=>110101010001=>010101010001 100000110111=>111011000001=>110101000111=>010101000111 100011011001=>100110110001=>110100011101=>010100011101 100011110111=>111011110001=>110100000111=>010100000111 100010110101=>101011010001=>110100111001=>010100111001 101101100001=>100001101101=>110001110101=>010001110101 101101101101=>101101101101=>110001110001=>010001110001 101111011111=>111110111101=>110000011111=>010000011111 101011010001=>100010110101=>110011100101=>010011100101 101011011101=>101110110101=>110011100001=>010011100001 101011000101=>101000110101=>110011101001=>010011101001 101010010101=>101010010101=>110011011001=>010011011001 0000000000=>0000000000=>1010101010=>0010101010 0000000110=>0110000000=>1010101000=>0010101000 0000011000=>0001100000=>1010100010=>0010100010 0000010010=>0100100000=>1010100100=>0010100100 0001100000=>0000011000=>1010001010=>0010001010 0001001000=>0001001000=>1010010010=>0010010010 0001000010=>0100001000=>1010010100=>0010010100 0110000000=>0000000110=>1000101010=>0000101010 0111100000=>0000011110=>1000001010=>0000001010 0111111000=>0001111110=>1000000010=>0000000010 0111111110=>0111111110=>1000000000=>0000000000 0111110010=>0100111110=>1000000100=>0000000100 0100100000=>0000010010=>1001001010=>0001001010 0100001000=>0001000010=>1001010010=>0001010010 0100000010=>0100000010=>1001010100=>0001010100 0101101110=>0111011010=>1001110000=>0001110000 000000000000=>000000000000=>101010101010=>001010101010 0010101010=>0101010100=>1011001100=>0011001100 0010100000=>0000010100=>1011001010=>0011001010 0110010101=>1010100110=>0111011001=>1111011001 0110101001=>1001010110=>0111001101=>1111001101 0110101010=>0101010110=>0111001100=>1111001100 0001111100=>0011111000=>0101111110=>1101111110 001101101010=>010101101100=>101110001100=>001110001100 000011101110=>011101110000=>101011110000=>001011110000 100101010101=>101010101001=>110110011001=>010110011001 100101101001=>100101101001=>110110001101=>010110001101 01111110101=>10101111110=>01111111001=>11111111001 0011011001=>1001101100=>0100011101=>1100011101 100101101010=>010101101001=>110110001100=>010110001100 101010010110=>011010010101=>110011011000=>010011011000 101010001101=>101100010101=>110011010001=>010011010001 100101001101=>101100101001=>110110010001=>010110010001 100100101101=>101101001001=>110110110001=>010110110001 100010101101=>101101010001=>110100110001=>010100110001 100100011101=>101110001001=>110110100001=>010110100001 100001011101=>101110100001=>110101100001=>010101100001 101010001011=>110100010101=>110011010011=>010011010011 100101001011=>110100101001=>110110010011=>010110010011 100010101011=>110101010001=>110100110011=>010100110011 100100011011=>110110001001=>110110100011=>010110100011 100001011011=>110110100001=>110101100011=>010101100011 100000111011=>110111000001=>110101000011=>010101000011 001101010110=>011010101100=>101110011000=>001110011000 001010110110=>011011010100=>101100111000=>001100111000 001110001110=>011100011100=>101111010000=>001111010000 001100101110=>011101001100=>101110110000=>001110110000 001001101110=>011101100100=>101101110000=>001101110000 000101111001=>100111101000=>101001111101=>001001111101 001101110001=>100011101100=>101110000101=>001110000101 001011101001=>100101110100=>101100001101=>001100001101 000111110001=>100011111000=>101000000101=>001000000101
Map
reverse
Description
Return the reversal of a binary word.
Map
zeros to flag zeros
Description
Return a binary word of the same length, such that the number of occurrences of $10$ in the word obtained by prepending the reverse of the complement equals the number of $0$s in the original word.
For example, the image of the word $w=1\dots1$ is $1\dots1$, because $w$ has no zeros, and $1\dots1$ is the only word such that prepending the reverse of its complement has no occurrence of the factor $10$.
On the other hand, $0\dots0$ must be mapped to $10\dots10$ if the length is even, and $010\dots10$ if it is odd.
Map
twist
Description
Return the binary word with first letter inverted.