Identifier
Mp00200: Binary words twistBinary words
Mp00104: Binary words reverseBinary words
Mp00268: Binary words zeros to flag zerosBinary words
Images
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1011010101=>0011010101=>1010101100=>0100011001 1011000111=>0011000111=>1110001100=>0100010111 1010110101=>0010110101=>1010110100=>0100111001 1010101000=>0010101000=>0001010100=>0100110010 1010100100=>0010100100=>0010010100=>0100110110 1010011101=>0010011101=>1011100100=>0100100001 1010010111=>0010010111=>1110100100=>0100100111 1010010100=>0010010100=>0010100100=>0100100110 1001111110=>0001111110=>0111111000=>1010000000 1001111001=>0001111001=>1001111000=>0101111101 1001100111=>0001100111=>1110011000=>0101110111 1001011110=>0001011110=>0111101000=>0101100000 1001010100=>0001010100=>0010101000=>0101100110 1000111110=>0000111110=>0111110000=>0101000000 1000110111=>0000110111=>1110110000=>0101000111 1000011111=>0000011111=>1111100000=>0101011111 1000011110=>0000011110=>0111100000=>1010100000 1000000110=>0000000110=>0110000000=>1010101000 1000000010=>0000000010=>0100000000=>0101010100 1000000001=>0000000001=>1000000000=>0101010101 1000000000=>0000000000=>0000000000=>1010101010 10000000010=>00000000010=>01000000000=>10101010100 0111111111=>1111111111=>1111111111=>1111111111 0111111001=>1111111001=>1001111111=>1111111101 0111100001=>1111100001=>1000011111=>1111110101 0110000001=>1110000001=>1000000111=>1111010101 0000000001=>1000000001=>1000000001=>1101010101 0101010101=>1101010101=>1010101011=>1110011001 0101010011=>1101010011=>1100101011=>1110011011 0101001011=>1101001011=>1101001011=>1110010011 0100101011=>1100101011=>1101010011=>1110110011 0011001101=>1011001101=>1011001101=>1100010001 0011000111=>1011000111=>1110001101=>1100010111 0010110101=>1010110101=>1010110101=>1100111001 0010101011=>1010101011=>1101010101=>1100110011 0010011101=>1010011101=>1011100101=>1100100001 0010010111=>1010010111=>1110100101=>1100100111 0001101101=>1001101101=>1011011001=>1101110001 0001100111=>1001100111=>1110011001=>1101110111 0000111101=>1000111101=>1011110001=>1101000001 0000110111=>1000110111=>1110110001=>1101000111 0000011111=>1000011111=>1111100001=>1101011111 0011110100=>1011110100=>0010111101=>1100000110 0000000010=>1000000010=>0100000001=>1101010100 0000001110=>1000001110=>0111000001=>1101010000 0000111110=>1000111110=>0111110001=>1101000000 0011111110=>1011111110=>0111111101=>1100000000 00000000010=>10000000010=>01000000001=>00101010100 0000000100=>1000000100=>0010000001=>1101010110 00000001110=>10000001110=>01110000001=>00101010000 0000010110=>1000010110=>0110100001=>1101011000 00000111110=>10000111110=>01111100001=>00101000000 0001011110=>1001011110=>0111101001=>1101100000 00011111110=>10011111110=>01111111001=>00100000000 0101111110=>1101111110=>0111111011=>1110000000 01111111110=>11111111110=>01111111111=>00000000000 001010101010=>101010101010=>010101010101=>110011001100 001010101100=>101010101100=>001101010101=>110011001110 001010110010=>101010110010=>010011010101=>110011000100 001010110100=>101010110100=>001011010101=>110011000110 001010111000=>101010111000=>000111010101=>110011000010 001011001010=>101011001010=>010100110101=>110011101100 001011001100=>101011001100=>001100110101=>110011101110 001011010010=>101011010010=>010010110101=>110011100100 001011010100=>101011010100=>001010110101=>110011100110 001011011000=>101011011000=>000110110101=>110011100010 001011100010=>101011100010=>010001110101=>110011110100 001011100100=>101011100100=>001001110101=>110011110110 001011101000=>101011101000=>000101110101=>110011110010 001011110000=>101011110000=>000011110101=>110011111010 001100101010=>101100101010=>010101001101=>110001001100 001100101100=>101100101100=>001101001101=>110001001110 001100110010=>101100110010=>010011001101=>110001000100 001100110100=>101100110100=>001011001101=>110001000110 001100111000=>101100111000=>000111001101=>110001000010 001101001010=>101101001010=>010100101101=>110001101100 001101001100=>101101001100=>001100101101=>110001101110 001101010010=>101101010010=>010010101101=>110001100100 001101010100=>101101010100=>001010101101=>110001100110 001101011000=>101101011000=>000110101101=>110001100010 001101100010=>101101100010=>010001101101=>110001110100 001101100100=>101101100100=>001001101101=>110001110110 001101101000=>101101101000=>000101101101=>110001110010 001101110000=>101101110000=>000011101101=>110001111010 001110001010=>101110001010=>010100011101=>110000101100 001110001100=>101110001100=>001100011101=>110000101110 001110010010=>101110010010=>010010011101=>110000100100 001110010100=>101110010100=>001010011101=>110000100110 001110011000=>101110011000=>000110011101=>110000100010 001110100010=>101110100010=>010001011101=>110000110100 001110100100=>101110100100=>001001011101=>110000110110 001110101000=>101110101000=>000101011101=>110000110010 001110110000=>101110110000=>000011011101=>110000111010 001111000010=>101111000010=>010000111101=>110000010100 001111000100=>101111000100=>001000111101=>110000010110 001111001000=>101111001000=>000100111101=>110000010010 001111010000=>101111010000=>000010111101=>110000011010 001111100000=>101111100000=>000001111101=>110000001010 010010101010=>110010101010=>010101010011=>111011001100 010010101100=>110010101100=>001101010011=>111011001110 010010110010=>110010110010=>010011010011=>111011000100 010010110100=>110010110100=>001011010011=>111011000110 010010111000=>110010111000=>000111010011=>111011000010 010011001010=>110011001010=>010100110011=>111011101100 010011001100=>110011001100=>001100110011=>111011101110 010011010010=>110011010010=>010010110011=>111011100100 010011010100=>110011010100=>001010110011=>111011100110 010011011000=>110011011000=>000110110011=>111011100010 010011100010=>110011100010=>010001110011=>111011110100 010011100100=>110011100100=>001001110011=>111011110110 010011101000=>110011101000=>000101110011=>111011110010 010011110000=>110011110000=>000011110011=>111011111010 010100101010=>110100101010=>010101001011=>111001001100 010100101100=>110100101100=>001101001011=>111001001110 010100110010=>110100110010=>010011001011=>111001000100 010100110100=>110100110100=>001011001011=>111001000110 010100111000=>110100111000=>000111001011=>111001000010 010101001010=>110101001010=>010100101011=>111001101100 010101001100=>110101001100=>001100101011=>111001101110 010101010010=>110101010010=>010010101011=>111001100100 010101010100=>110101010100=>001010101011=>111001100110 010101011000=>110101011000=>000110101011=>111001100010 010101100010=>110101100010=>010001101011=>111001110100 010101100100=>110101100100=>001001101011=>111001110110 010101101000=>110101101000=>000101101011=>111001110010 010101110000=>110101110000=>000011101011=>111001111010 010110001010=>110110001010=>010100011011=>111000101100 010110001100=>110110001100=>001100011011=>111000101110 010110010010=>110110010010=>010010011011=>111000100100 010110010100=>110110010100=>001010011011=>111000100110 010110011000=>110110011000=>000110011011=>111000100010 010110100010=>110110100010=>010001011011=>111000110100 010110100100=>110110100100=>001001011011=>111000110110 010110101000=>110110101000=>000101011011=>111000110010 010110110000=>110110110000=>000011011011=>111000111010 010111000010=>110111000010=>010000111011=>111000010100 010111000100=>110111000100=>001000111011=>111000010110 010111001000=>110111001000=>000100111011=>111000010010 010111010000=>110111010000=>000010111011=>111000011010 010111100000=>110111100000=>000001111011=>111000001010 011000101010=>111000101010=>010101000111=>111101001100 011000101100=>111000101100=>001101000111=>111101001110 011000110010=>111000110010=>010011000111=>111101000100 011000110100=>111000110100=>001011000111=>111101000110 011000111000=>111000111000=>000111000111=>111101000010 011001001010=>111001001010=>010100100111=>111101101100 011001001100=>111001001100=>001100100111=>111101101110 011001010010=>111001010010=>010010100111=>111101100100 011001010100=>111001010100=>001010100111=>111101100110 011001011000=>111001011000=>000110100111=>111101100010 011001100010=>111001100010=>010001100111=>111101110100 011001100100=>111001100100=>001001100111=>111101110110 011001101000=>111001101000=>000101100111=>111101110010 011001110000=>111001110000=>000011100111=>111101111010 011010001010=>111010001010=>010100010111=>111100101100 011010001100=>111010001100=>001100010111=>111100101110 011010010010=>111010010010=>010010010111=>111100100100 011010010100=>111010010100=>001010010111=>111100100110 011010011000=>111010011000=>000110010111=>111100100010 011010100010=>111010100010=>010001010111=>111100110100 011010100100=>111010100100=>001001010111=>111100110110 011010101000=>111010101000=>000101010111=>111100110010 011010110000=>111010110000=>000011010111=>111100111010 011011000010=>111011000010=>010000110111=>111100010100 011011000100=>111011000100=>001000110111=>111100010110 011011001000=>111011001000=>000100110111=>111100010010 011011010000=>111011010000=>000010110111=>111100011010 011011100000=>111011100000=>000001110111=>111100001010 011100001010=>111100001010=>010100001111=>111110101100 011100001100=>111100001100=>001100001111=>111110101110 011100010010=>111100010010=>010010001111=>111110100100 011100010100=>111100010100=>001010001111=>111110100110 011100011000=>111100011000=>000110001111=>111110100010 011100100010=>111100100010=>010001001111=>111110110100 011100100100=>111100100100=>001001001111=>111110110110 011100101000=>111100101000=>000101001111=>111110110010 011100110000=>111100110000=>000011001111=>111110111010 011101000010=>111101000010=>010000101111=>111110010100 011101000100=>111101000100=>001000101111=>111110010110 011101001000=>111101001000=>000100101111=>111110010010 011101010000=>111101010000=>000010101111=>111110011010 011101100000=>111101100000=>000001101111=>111110001010 011110000010=>111110000010=>010000011111=>111111010100 011110000100=>111110000100=>001000011111=>111111010110 011110001000=>111110001000=>000100011111=>111111010010 011110010000=>111110010000=>000010011111=>111111011010 011110100000=>111110100000=>000001011111=>111111001010 011111000000=>111111000000=>000000111111=>111111101010 10101010101=>00101010101=>10101010100=>10110011001 0101011111=>1101011111=>1111101011=>1110011111 0110011001=>1110011001=>1001100111=>1111011101 0110110001=>1110110001=>1000110111=>1111000101 0000001101=>1000001101=>1011000001=>1101010001 0001101001=>1001101001=>1001011001=>0010001101 10000000001=>00000000001=>10000000000=>10101010101 11111111111=>01111111111=>11111111110=>01111111111 110101010101=>010101010101=>101010101010=>100110011001 110011010101=>010011010101=>101010110010=>100100011001 110100110101=>010100110101=>101011001010=>100110111001 110101001101=>010101001101=>101100101010=>100110010001 110011001101=>010011001101=>101100110010=>100100010001 110011010011=>010011010011=>110010110010=>100100011011 101100011011=>001100011011=>110110001100=>101110100011 100110011011=>000110011011=>110110011000=>101000100011 101000111011=>001000111011=>110111000100=>101101000011 100100111011=>000100111011=>110111001000=>101001000011 110011000111=>010011000111=>111000110010=>100100010111 101100100111=>001100100111=>111001001100=>101110110111 101100010111=>001100010111=>111010001100=>101110100111 100110010111=>000110010111=>111010011000=>101000100111 101000110111=>001000110111=>111011000100=>101101000111 100100110111=>000100110111=>111011001000=>101001000111 110100001111=>010100001111=>111100001010=>100110101111 101010001111=>001010001111=>111100010100=>101100101111 101000101111=>001000101111=>111101000100=>101101001111 100100101111=>000100101111=>111101001000=>101001001111 110000011111=>010000011111=>111110000010=>100101011111 0011110001=>1011110001=>1000111101=>1100000101 0000110101=>1000110101=>1010110001=>0010111001 0000011011=>1000011011=>1101100001=>0010100011 101011110001=>001011110001=>100011110100=>101100000101 101101110001=>001101110001=>100011101100=>101110000101 0000011001=>1000011001=>1001100001=>1101011101 0011011111=>1011011111=>1111101101=>1100011111 0110011111=>1110011111=>1111100111=>1111011111 0110110111=>1110110111=>1110110111=>1111000111 000001111111=>100001111111=>111111100001=>110101111111 000011111101=>100011111101=>101111110001=>110100000001 000111111001=>100111111001=>100111111001=>110111111101 001111000111=>101111000111=>111000111101=>110000010111 001111001101=>101111001101=>101100111101=>110000010001 001111011001=>101111011001=>100110111101=>110000011101 001111110001=>101111110001=>100011111101=>110000000101 001111100101=>101111100101=>101001111101=>110000001001 011111100001=>111111100001=>100001111111=>111111110101 011110011001=>111110011001=>100110011111=>111111011101 011110000111=>111110000111=>111000011111=>111111010111 011110001101=>111110001101=>101100011111=>111111010001 011110110001=>111110110001=>100011011111=>111111000101 011110100101=>111110100101=>101001011111=>111111001001 0101111011=>1101111011=>1101111011=>1110000011 0101000011=>1101000011=>1100001011=>0001101011 100101111001=>000101111001=>100111101000=>101001111101 11000000000=>01000000000=>00000000010=>10010101010
Map
twist
Description
Return the binary word with first letter inverted.
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.