Identifier
Values
0 => 0 => 0
1 => 1 => 0
00 => 00 => 0
01 => 01 => 0
10 => 10 => 1
11 => 11 => 0
000 => 000 => 0
001 => 001 => 0
010 => 100 => 1
011 => 011 => 0
100 => 010 => 2
101 => 101 => 1
110 => 110 => 2
111 => 111 => 0
0000 => 0000 => 0
0001 => 0001 => 0
0010 => 1000 => 1
0011 => 0011 => 0
0100 => 0100 => 2
0101 => 1001 => 1
0110 => 1100 => 2
0111 => 0111 => 0
1000 => 0010 => 3
1001 => 0101 => 2
1010 => 0110 => 3
1011 => 1011 => 1
1100 => 1010 => 4
1101 => 1101 => 2
1110 => 1110 => 3
1111 => 1111 => 0
00000 => 00000 => 0
00001 => 00001 => 0
00010 => 10000 => 1
00011 => 00011 => 0
00100 => 01000 => 2
00101 => 10001 => 1
00110 => 11000 => 2
00111 => 00111 => 0
01000 => 00100 => 3
01001 => 01001 => 2
01010 => 01100 => 3
01011 => 10011 => 1
01100 => 10100 => 4
01101 => 11001 => 2
01110 => 11100 => 3
01111 => 01111 => 0
10000 => 00010 => 4
10001 => 00101 => 3
10010 => 00110 => 4
10011 => 01011 => 2
10100 => 10010 => 5
10101 => 01101 => 3
10110 => 01110 => 4
10111 => 10111 => 1
11000 => 01010 => 6
11001 => 10101 => 4
11010 => 10110 => 5
11011 => 11011 => 2
11100 => 11010 => 6
11101 => 11101 => 3
11110 => 11110 => 4
11111 => 11111 => 0
000000 => 000000 => 0
000001 => 000001 => 0
000010 => 100000 => 1
000011 => 000011 => 0
000100 => 010000 => 2
000101 => 100001 => 1
000110 => 110000 => 2
000111 => 000111 => 0
001000 => 001000 => 3
001001 => 010001 => 2
001010 => 011000 => 3
001011 => 100011 => 1
001100 => 101000 => 4
001101 => 110001 => 2
001110 => 111000 => 3
001111 => 001111 => 0
010000 => 000100 => 4
010001 => 001001 => 3
010010 => 001100 => 4
010011 => 010011 => 2
010100 => 100100 => 5
010101 => 011001 => 3
010110 => 011100 => 4
010111 => 100111 => 1
011000 => 010100 => 6
011001 => 101001 => 4
011010 => 101100 => 5
011011 => 110011 => 2
011100 => 110100 => 6
011101 => 111001 => 3
011110 => 111100 => 4
011111 => 011111 => 0
100000 => 000010 => 5
100001 => 000101 => 4
100010 => 000110 => 5
100011 => 001011 => 3
100100 => 100010 => 6
100101 => 001101 => 4
100110 => 001110 => 5
>>> Load all 1050 entries. <<<
100111 => 010111 => 2
101000 => 010010 => 7
101001 => 100101 => 5
101010 => 100110 => 6
101011 => 011011 => 3
101100 => 110010 => 7
101101 => 011101 => 4
101110 => 011110 => 5
101111 => 101111 => 1
110000 => 001010 => 8
110001 => 010101 => 6
110010 => 010110 => 7
110011 => 101011 => 4
110100 => 011010 => 8
110101 => 101101 => 5
110110 => 101110 => 6
110111 => 110111 => 2
111000 => 101010 => 9
111001 => 110101 => 6
111010 => 110110 => 7
111011 => 111011 => 3
111100 => 111010 => 8
111101 => 111101 => 4
111110 => 111110 => 5
111111 => 111111 => 0
0000000 => 0000000 => 0
0000001 => 0000001 => 0
0000010 => 1000000 => 1
0000011 => 0000011 => 0
0000100 => 0100000 => 2
0000101 => 1000001 => 1
0000110 => 1100000 => 2
0000111 => 0000111 => 0
0001000 => 0010000 => 3
0001001 => 0100001 => 2
0001010 => 0110000 => 3
0001011 => 1000011 => 1
0001100 => 1010000 => 4
0001101 => 1100001 => 2
0001110 => 1110000 => 3
0001111 => 0001111 => 0
0010000 => 0001000 => 4
0010001 => 0010001 => 3
0010010 => 0011000 => 4
0010011 => 0100011 => 2
0010100 => 1001000 => 5
0010101 => 0110001 => 3
0010110 => 0111000 => 4
0010111 => 1000111 => 1
0011000 => 0101000 => 6
0011001 => 1010001 => 4
0011010 => 1011000 => 5
0011011 => 1100011 => 2
0011100 => 1101000 => 6
0011101 => 1110001 => 3
0011110 => 1111000 => 4
0011111 => 0011111 => 0
0100000 => 0000100 => 5
0100001 => 0001001 => 4
0100010 => 0001100 => 5
0100011 => 0010011 => 3
0100100 => 1000100 => 6
0100101 => 0011001 => 4
0100110 => 0011100 => 5
0100111 => 0100111 => 2
0101000 => 0100100 => 7
0101001 => 1001001 => 5
0101010 => 1001100 => 6
0101011 => 0110011 => 3
0101100 => 1100100 => 7
0101101 => 0111001 => 4
0101110 => 0111100 => 5
0101111 => 1001111 => 1
0110000 => 0010100 => 8
0110001 => 0101001 => 6
0110010 => 0101100 => 7
0110011 => 1010011 => 4
0110100 => 0110100 => 8
0110101 => 1011001 => 5
0110110 => 1011100 => 6
0110111 => 1100111 => 2
0111000 => 1010100 => 9
0111001 => 1101001 => 6
0111010 => 1101100 => 7
0111011 => 1110011 => 3
0111100 => 1110100 => 8
0111101 => 1111001 => 4
0111110 => 1111100 => 5
0111111 => 0111111 => 0
1000000 => 0000010 => 6
1000001 => 0000101 => 5
1000010 => 0000110 => 6
1000011 => 0001011 => 4
1000100 => 1000010 => 7
1000101 => 0001101 => 5
1000110 => 0001110 => 6
1000111 => 0010111 => 3
1001000 => 0100010 => 8
1001001 => 1000101 => 6
1001010 => 1000110 => 7
1001011 => 0011011 => 4
1001100 => 1100010 => 8
1001101 => 0011101 => 5
1001110 => 0011110 => 6
1001111 => 0101111 => 2
1010000 => 0010010 => 9
1010001 => 0100101 => 7
1010010 => 0100110 => 8
1010011 => 1001011 => 5
1010100 => 0110010 => 9
1010101 => 1001101 => 6
1010110 => 1001110 => 7
1010111 => 0110111 => 3
1011000 => 1010010 => 10
1011001 => 1100101 => 7
1011010 => 1100110 => 8
1011011 => 0111011 => 4
1011100 => 1110010 => 9
1011101 => 0111101 => 5
1011110 => 0111110 => 6
1011111 => 1011111 => 1
1100000 => 0001010 => 10
1100001 => 0010101 => 8
1100010 => 0010110 => 9
1100011 => 0101011 => 6
1100100 => 0011010 => 10
1100101 => 0101101 => 7
1100110 => 0101110 => 8
1100111 => 1010111 => 4
1101000 => 1001010 => 11
1101001 => 0110101 => 8
1101010 => 0110110 => 9
1101011 => 1011011 => 5
1101100 => 0111010 => 10
1101101 => 1011101 => 6
1101110 => 1011110 => 7
1101111 => 1101111 => 2
1110000 => 0101010 => 12
1110001 => 1010101 => 9
1110010 => 1010110 => 10
1110011 => 1101011 => 6
1110100 => 1011010 => 11
1110101 => 1101101 => 7
1110110 => 1101110 => 8
1110111 => 1110111 => 3
1111000 => 1101010 => 12
1111001 => 1110101 => 8
1111010 => 1110110 => 9
1111011 => 1111011 => 4
1111100 => 1111010 => 10
1111101 => 1111101 => 5
1111110 => 1111110 => 6
1111111 => 1111111 => 0
00000000 => 00000000 => 0
00000001 => 00000001 => 0
00000010 => 10000000 => 1
00000011 => 00000011 => 0
00000100 => 01000000 => 2
00000101 => 10000001 => 1
00000110 => 11000000 => 2
00000111 => 00000111 => 0
00001000 => 00100000 => 3
00001001 => 01000001 => 2
00001010 => 01100000 => 3
00001011 => 10000011 => 1
00001100 => 10100000 => 4
00001101 => 11000001 => 2
00001110 => 11100000 => 3
00001111 => 00001111 => 0
00010000 => 00010000 => 4
00010001 => 00100001 => 3
00010010 => 00110000 => 4
00010011 => 01000011 => 2
00010100 => 10010000 => 5
00010101 => 01100001 => 3
00010110 => 01110000 => 4
00010111 => 10000111 => 1
00011000 => 01010000 => 6
00011001 => 10100001 => 4
00011010 => 10110000 => 5
00011011 => 11000011 => 2
00011100 => 11010000 => 6
00011101 => 11100001 => 3
00011110 => 11110000 => 4
00011111 => 00011111 => 0
00100000 => 00001000 => 5
00100001 => 00010001 => 4
00100010 => 00011000 => 5
00100011 => 00100011 => 3
00100100 => 10001000 => 6
00100101 => 00110001 => 4
00100110 => 00111000 => 5
00100111 => 01000111 => 2
00101000 => 01001000 => 7
00101001 => 10010001 => 5
00101010 => 10011000 => 6
00101011 => 01100011 => 3
00101100 => 11001000 => 7
00101101 => 01110001 => 4
00101110 => 01111000 => 5
00101111 => 10001111 => 1
00110000 => 00101000 => 8
00110001 => 01010001 => 6
00110010 => 01011000 => 7
00110011 => 10100011 => 4
00110100 => 01101000 => 8
00110101 => 10110001 => 5
00110110 => 10111000 => 6
00110111 => 11000111 => 2
00111000 => 10101000 => 9
00111001 => 11010001 => 6
00111010 => 11011000 => 7
00111011 => 11100011 => 3
00111100 => 11101000 => 8
00111101 => 11110001 => 4
00111110 => 11111000 => 5
00111111 => 00111111 => 0
01000000 => 00000100 => 6
01000001 => 00001001 => 5
01000010 => 00001100 => 6
01000011 => 00010011 => 4
01000100 => 10000100 => 7
01000101 => 00011001 => 5
01000110 => 00011100 => 6
01000111 => 00100111 => 3
01001000 => 01000100 => 8
01001001 => 10001001 => 6
01001010 => 10001100 => 7
01001011 => 00110011 => 4
01001100 => 11000100 => 8
01001101 => 00111001 => 5
01001110 => 00111100 => 6
01001111 => 01001111 => 2
01010000 => 00100100 => 9
01010001 => 01001001 => 7
01010010 => 01001100 => 8
01010011 => 10010011 => 5
01010100 => 01100100 => 9
01010101 => 10011001 => 6
01010110 => 10011100 => 7
01010111 => 01100111 => 3
01011000 => 10100100 => 10
01011001 => 11001001 => 7
01011010 => 11001100 => 8
01011011 => 01110011 => 4
01011100 => 11100100 => 9
01011101 => 01111001 => 5
01011110 => 01111100 => 6
01011111 => 10011111 => 1
01100000 => 00010100 => 10
01100001 => 00101001 => 8
01100010 => 00101100 => 9
01100011 => 01010011 => 6
01100100 => 00110100 => 10
01100101 => 01011001 => 7
01100110 => 01011100 => 8
01100111 => 10100111 => 4
01101000 => 10010100 => 11
01101001 => 01101001 => 8
01101010 => 01101100 => 9
01101011 => 10110011 => 5
01101100 => 01110100 => 10
01101101 => 10111001 => 6
01101110 => 10111100 => 7
01101111 => 11001111 => 2
01110000 => 01010100 => 12
01110001 => 10101001 => 9
01110010 => 10101100 => 10
01110011 => 11010011 => 6
01110100 => 10110100 => 11
01110101 => 11011001 => 7
01110110 => 11011100 => 8
01110111 => 11100111 => 3
01111000 => 11010100 => 12
01111001 => 11101001 => 8
01111010 => 11101100 => 9
01111011 => 11110011 => 4
01111100 => 11110100 => 10
01111101 => 11111001 => 5
01111110 => 11111100 => 6
01111111 => 01111111 => 0
10000000 => 00000010 => 7
10000001 => 00000101 => 6
10000010 => 00000110 => 7
10000011 => 00001011 => 5
10000100 => 10000010 => 8
10000101 => 00001101 => 6
10000110 => 00001110 => 7
10000111 => 00010111 => 4
10001000 => 01000010 => 9
10001001 => 10000101 => 7
10001010 => 10000110 => 8
10001011 => 00011011 => 5
10001100 => 11000010 => 9
10001101 => 00011101 => 6
10001110 => 00011110 => 7
10001111 => 00101111 => 3
10010000 => 00100010 => 10
10010001 => 01000101 => 8
10010010 => 01000110 => 9
10010011 => 10001011 => 6
10010100 => 01100010 => 10
10010101 => 10001101 => 7
10010110 => 10001110 => 8
10010111 => 00110111 => 4
10011000 => 10100010 => 11
10011001 => 11000101 => 8
10011010 => 11000110 => 9
10011011 => 00111011 => 5
10011100 => 11100010 => 10
10011101 => 00111101 => 6
10011110 => 00111110 => 7
10011111 => 01011111 => 2
10100000 => 00010010 => 11
10100001 => 00100101 => 9
10100010 => 00100110 => 10
10100011 => 01001011 => 7
10100100 => 00110010 => 11
10100101 => 01001101 => 8
10100110 => 01001110 => 9
10100111 => 10010111 => 5
10101000 => 10010010 => 12
10101001 => 01100101 => 9
10101010 => 01100110 => 10
10101011 => 10011011 => 6
10101100 => 01110010 => 11
10101101 => 10011101 => 7
10101110 => 10011110 => 8
10101111 => 01101111 => 3
10110000 => 01010010 => 13
10110001 => 10100101 => 10
10110010 => 10100110 => 11
10110011 => 11001011 => 7
10110100 => 10110010 => 12
10110101 => 11001101 => 8
10110110 => 11001110 => 9
10110111 => 01110111 => 4
10111000 => 11010010 => 13
10111001 => 11100101 => 9
10111010 => 11100110 => 10
10111011 => 01111011 => 5
10111100 => 11110010 => 11
10111101 => 01111101 => 6
10111110 => 01111110 => 7
10111111 => 10111111 => 1
11000000 => 00001010 => 12
11000001 => 00010101 => 10
11000010 => 00010110 => 11
11000011 => 00101011 => 8
11000100 => 00011010 => 12
11000101 => 00101101 => 9
11000110 => 00101110 => 10
11000111 => 01010111 => 6
11001000 => 10001010 => 13
11001001 => 00110101 => 10
11001010 => 00110110 => 11
11001011 => 01011011 => 7
11001100 => 00111010 => 12
11001101 => 01011101 => 8
11001110 => 01011110 => 9
11001111 => 10101111 => 4
11010000 => 01001010 => 14
11010001 => 10010101 => 11
11010010 => 10010110 => 12
11010011 => 01101011 => 8
11010100 => 10011010 => 13
11010101 => 01101101 => 9
11010110 => 01101110 => 10
11010111 => 10110111 => 5
11011000 => 11001010 => 14
11011001 => 01110101 => 10
11011010 => 01110110 => 11
11011011 => 10111011 => 6
11011100 => 01111010 => 12
11011101 => 10111101 => 7
11011110 => 10111110 => 8
11011111 => 11011111 => 2
11100000 => 00101010 => 15
11100001 => 01010101 => 12
11100010 => 01010110 => 13
11100011 => 10101011 => 9
11100100 => 01011010 => 14
11100101 => 10101101 => 10
11100110 => 10101110 => 11
11100111 => 11010111 => 6
11101000 => 01101010 => 15
11101001 => 10110101 => 11
11101010 => 10110110 => 12
11101011 => 11011011 => 7
11101100 => 10111010 => 13
11101101 => 11011101 => 8
11101110 => 11011110 => 9
11101111 => 11101111 => 3
11110000 => 10101010 => 16
11110001 => 11010101 => 12
11110010 => 11010110 => 13
11110011 => 11101011 => 8
11110100 => 11011010 => 14
11110101 => 11101101 => 9
11110110 => 11101110 => 10
11110111 => 11110111 => 4
11111000 => 11101010 => 15
11111001 => 11110101 => 10
11111010 => 11110110 => 11
11111011 => 11111011 => 5
11111100 => 11111010 => 12
11111101 => 11111101 => 6
11111110 => 11111110 => 7
11111111 => 11111111 => 0
000000000 => 000000000 => 0
000000001 => 000000001 => 0
000000010 => 100000000 => 1
000000011 => 000000011 => 0
000000100 => 010000000 => 2
000000101 => 100000001 => 1
000000110 => 110000000 => 2
000000111 => 000000111 => 0
000001000 => 001000000 => 3
000001001 => 010000001 => 2
000001010 => 011000000 => 3
000001011 => 100000011 => 1
000001100 => 101000000 => 4
000001101 => 110000001 => 2
000001110 => 111000000 => 3
000001111 => 000001111 => 0
000010000 => 000100000 => 4
000010001 => 001000001 => 3
000010010 => 001100000 => 4
000010011 => 010000011 => 2
000010100 => 100100000 => 5
000010101 => 011000001 => 3
000010110 => 011100000 => 4
000010111 => 100000111 => 1
000011000 => 010100000 => 6
000011001 => 101000001 => 4
000011010 => 101100000 => 5
000011011 => 110000011 => 2
000011100 => 110100000 => 6
000011101 => 111000001 => 3
000011110 => 111100000 => 4
000011111 => 000011111 => 0
000100000 => 000010000 => 5
000100001 => 000100001 => 4
000100010 => 000110000 => 5
000100011 => 001000011 => 3
000100100 => 100010000 => 6
000100101 => 001100001 => 4
000100110 => 001110000 => 5
000100111 => 010000111 => 2
000101000 => 010010000 => 7
000101001 => 100100001 => 5
000101010 => 100110000 => 6
000101011 => 011000011 => 3
000101100 => 110010000 => 7
000101101 => 011100001 => 4
000101110 => 011110000 => 5
000101111 => 100001111 => 1
000110000 => 001010000 => 8
000110001 => 010100001 => 6
000110010 => 010110000 => 7
000110011 => 101000011 => 4
000110100 => 011010000 => 8
000110101 => 101100001 => 5
000110110 => 101110000 => 6
000110111 => 110000111 => 2
000111000 => 101010000 => 9
000111001 => 110100001 => 6
000111010 => 110110000 => 7
000111011 => 111000011 => 3
000111100 => 111010000 => 8
000111101 => 111100001 => 4
000111110 => 111110000 => 5
000111111 => 000111111 => 0
001000000 => 000001000 => 6
001000001 => 000010001 => 5
001000010 => 000011000 => 6
001000011 => 000100011 => 4
001000100 => 100001000 => 7
001000101 => 000110001 => 5
001000110 => 000111000 => 6
001000111 => 001000111 => 3
001001000 => 010001000 => 8
001001001 => 100010001 => 6
001001010 => 100011000 => 7
001001011 => 001100011 => 4
001001100 => 110001000 => 8
001001101 => 001110001 => 5
001001110 => 001111000 => 6
001001111 => 010001111 => 2
001010000 => 001001000 => 9
001010001 => 010010001 => 7
001010010 => 010011000 => 8
001010011 => 100100011 => 5
001010100 => 011001000 => 9
001010101 => 100110001 => 6
001010110 => 100111000 => 7
001010111 => 011000111 => 3
001011000 => 101001000 => 10
001011001 => 110010001 => 7
001011010 => 110011000 => 8
001011011 => 011100011 => 4
001011100 => 111001000 => 9
001011101 => 011110001 => 5
001011110 => 011111000 => 6
001011111 => 100011111 => 1
001100000 => 000101000 => 10
001100001 => 001010001 => 8
001100010 => 001011000 => 9
001100011 => 010100011 => 6
001100100 => 001101000 => 10
001100101 => 010110001 => 7
001100110 => 010111000 => 8
001100111 => 101000111 => 4
001101000 => 100101000 => 11
001101001 => 011010001 => 8
001101010 => 011011000 => 9
001101011 => 101100011 => 5
001101100 => 011101000 => 10
001101101 => 101110001 => 6
001101110 => 101111000 => 7
001101111 => 110001111 => 2
001110000 => 010101000 => 12
001110001 => 101010001 => 9
001110010 => 101011000 => 10
001110011 => 110100011 => 6
001110100 => 101101000 => 11
001110101 => 110110001 => 7
001110110 => 110111000 => 8
001110111 => 111000111 => 3
001111000 => 110101000 => 12
001111001 => 111010001 => 8
001111010 => 111011000 => 9
001111011 => 111100011 => 4
001111100 => 111101000 => 10
001111101 => 111110001 => 5
001111110 => 111111000 => 6
001111111 => 001111111 => 0
010000000 => 000000100 => 7
010000001 => 000001001 => 6
010000010 => 000001100 => 7
010000011 => 000010011 => 5
010000100 => 100000100 => 8
010000101 => 000011001 => 6
010000110 => 000011100 => 7
010000111 => 000100111 => 4
010001000 => 010000100 => 9
010001001 => 100001001 => 7
010001010 => 100001100 => 8
010001011 => 000110011 => 5
010001100 => 110000100 => 9
010001101 => 000111001 => 6
010001110 => 000111100 => 7
010001111 => 001001111 => 3
010010000 => 001000100 => 10
010010001 => 010001001 => 8
010010010 => 010001100 => 9
010010011 => 100010011 => 6
010010100 => 011000100 => 10
010010101 => 100011001 => 7
010010110 => 100011100 => 8
010010111 => 001100111 => 4
010011000 => 101000100 => 11
010011001 => 110001001 => 8
010011010 => 110001100 => 9
010011011 => 001110011 => 5
010011100 => 111000100 => 10
010011101 => 001111001 => 6
010011110 => 001111100 => 7
010011111 => 010011111 => 2
010100000 => 000100100 => 11
010100001 => 001001001 => 9
010100010 => 001001100 => 10
010100011 => 010010011 => 7
010100100 => 001100100 => 11
010100101 => 010011001 => 8
010100110 => 010011100 => 9
010100111 => 100100111 => 5
010101000 => 100100100 => 12
010101001 => 011001001 => 9
010101010 => 011001100 => 10
010101011 => 100110011 => 6
010101100 => 011100100 => 11
010101101 => 100111001 => 7
010101110 => 100111100 => 8
010101111 => 011001111 => 3
010110000 => 010100100 => 13
010110001 => 101001001 => 10
010110010 => 101001100 => 11
010110011 => 110010011 => 7
010110100 => 101100100 => 12
010110101 => 110011001 => 8
010110110 => 110011100 => 9
010110111 => 011100111 => 4
010111000 => 110100100 => 13
010111001 => 111001001 => 9
010111010 => 111001100 => 10
010111011 => 011110011 => 5
010111100 => 111100100 => 11
010111101 => 011111001 => 6
010111110 => 011111100 => 7
010111111 => 100111111 => 1
011000000 => 000010100 => 12
011000001 => 000101001 => 10
011000010 => 000101100 => 11
011000011 => 001010011 => 8
011000100 => 000110100 => 12
011000101 => 001011001 => 9
011000110 => 001011100 => 10
011000111 => 010100111 => 6
011001000 => 100010100 => 13
011001001 => 001101001 => 10
011001010 => 001101100 => 11
011001011 => 010110011 => 7
011001100 => 001110100 => 12
011001101 => 010111001 => 8
011001110 => 010111100 => 9
011001111 => 101001111 => 4
011010000 => 010010100 => 14
011010001 => 100101001 => 11
011010010 => 100101100 => 12
011010011 => 011010011 => 8
011010100 => 100110100 => 13
011010101 => 011011001 => 9
011010110 => 011011100 => 10
011010111 => 101100111 => 5
011011000 => 110010100 => 14
011011001 => 011101001 => 10
011011010 => 011101100 => 11
011011011 => 101110011 => 6
011011100 => 011110100 => 12
011011101 => 101111001 => 7
011011110 => 101111100 => 8
011011111 => 110011111 => 2
011100000 => 001010100 => 15
011100001 => 010101001 => 12
011100010 => 010101100 => 13
011100011 => 101010011 => 9
011100100 => 010110100 => 14
011100101 => 101011001 => 10
011100110 => 101011100 => 11
011100111 => 110100111 => 6
011101000 => 011010100 => 15
011101001 => 101101001 => 11
011101010 => 101101100 => 12
011101011 => 110110011 => 7
011101100 => 101110100 => 13
011101101 => 110111001 => 8
011101110 => 110111100 => 9
011101111 => 111001111 => 3
011110000 => 101010100 => 16
011110001 => 110101001 => 12
011110010 => 110101100 => 13
011110011 => 111010011 => 8
011110100 => 110110100 => 14
011110101 => 111011001 => 9
011110110 => 111011100 => 10
011110111 => 111100111 => 4
011111000 => 111010100 => 15
011111001 => 111101001 => 10
011111010 => 111101100 => 11
011111011 => 111110011 => 5
011111100 => 111110100 => 12
011111101 => 111111001 => 6
011111110 => 111111100 => 7
011111111 => 011111111 => 0
100000000 => 000000010 => 8
100000001 => 000000101 => 7
100000010 => 000000110 => 8
100000011 => 000001011 => 6
100000100 => 100000010 => 9
100000101 => 000001101 => 7
100000110 => 000001110 => 8
100000111 => 000010111 => 5
100001000 => 010000010 => 10
100001001 => 100000101 => 8
100001010 => 100000110 => 9
100001011 => 000011011 => 6
100001100 => 110000010 => 10
100001101 => 000011101 => 7
100001110 => 000011110 => 8
100001111 => 000101111 => 4
100010000 => 001000010 => 11
100010001 => 010000101 => 9
100010010 => 010000110 => 10
100010011 => 100001011 => 7
100010100 => 011000010 => 11
100010101 => 100001101 => 8
100010110 => 100001110 => 9
100010111 => 000110111 => 5
100011000 => 101000010 => 12
100011001 => 110000101 => 9
100011010 => 110000110 => 10
100011011 => 000111011 => 6
100011100 => 111000010 => 11
100011101 => 000111101 => 7
100011110 => 000111110 => 8
100011111 => 001011111 => 3
100100000 => 000100010 => 12
100100001 => 001000101 => 10
100100010 => 001000110 => 11
100100011 => 010001011 => 8
100100100 => 001100010 => 12
100100101 => 010001101 => 9
100100110 => 010001110 => 10
100100111 => 100010111 => 6
100101000 => 100100010 => 13
100101001 => 011000101 => 10
100101010 => 011000110 => 11
100101011 => 100011011 => 7
100101100 => 011100010 => 12
100101101 => 100011101 => 8
100101110 => 100011110 => 9
100101111 => 001101111 => 4
100110000 => 010100010 => 14
100110001 => 101000101 => 11
100110010 => 101000110 => 12
100110011 => 110001011 => 8
100110100 => 101100010 => 13
100110101 => 110001101 => 9
100110110 => 110001110 => 10
100110111 => 001110111 => 5
100111000 => 110100010 => 14
100111001 => 111000101 => 10
100111010 => 111000110 => 11
100111011 => 001111011 => 6
100111100 => 111100010 => 12
100111101 => 001111101 => 7
100111110 => 001111110 => 8
100111111 => 010111111 => 2
101000000 => 000010010 => 13
101000001 => 000100101 => 11
101000010 => 000100110 => 12
101000011 => 001001011 => 9
101000100 => 000110010 => 13
101000101 => 001001101 => 10
101000110 => 001001110 => 11
101000111 => 010010111 => 7
101001000 => 100010010 => 14
101001001 => 001100101 => 11
101001010 => 001100110 => 12
101001011 => 010011011 => 8
101001100 => 001110010 => 13
101001101 => 010011101 => 9
101001110 => 010011110 => 10
101001111 => 100101111 => 5
101010000 => 010010010 => 15
101010001 => 100100101 => 12
101010010 => 100100110 => 13
101010011 => 011001011 => 9
101010100 => 100110010 => 14
101010101 => 011001101 => 10
101010110 => 011001110 => 11
101010111 => 100110111 => 6
101011000 => 110010010 => 15
101011001 => 011100101 => 11
101011010 => 011100110 => 12
101011011 => 100111011 => 7
101011100 => 011110010 => 13
101011101 => 100111101 => 8
101011110 => 100111110 => 9
101011111 => 011011111 => 3
101100000 => 001010010 => 16
101100001 => 010100101 => 13
101100010 => 010100110 => 14
101100011 => 101001011 => 10
101100100 => 010110010 => 15
101100101 => 101001101 => 11
101100110 => 101001110 => 12
101100111 => 110010111 => 7
101101000 => 011010010 => 16
101101001 => 101100101 => 12
101101010 => 101100110 => 13
101101011 => 110011011 => 8
101101100 => 101110010 => 14
101101101 => 110011101 => 9
101101110 => 110011110 => 10
101101111 => 011101111 => 4
101110000 => 101010010 => 17
101110001 => 110100101 => 13
101110010 => 110100110 => 14
101110011 => 111001011 => 9
101110100 => 110110010 => 15
101110101 => 111001101 => 10
101110110 => 111001110 => 11
101110111 => 011110111 => 5
101111000 => 111010010 => 16
101111001 => 111100101 => 11
101111010 => 111100110 => 12
101111011 => 011111011 => 6
101111100 => 111110010 => 13
101111101 => 011111101 => 7
101111110 => 011111110 => 8
101111111 => 101111111 => 1
110000000 => 000001010 => 14
110000001 => 000010101 => 12
110000010 => 000010110 => 13
110000011 => 000101011 => 10
110000100 => 000011010 => 14
110000101 => 000101101 => 11
110000110 => 000101110 => 12
110000111 => 001010111 => 8
110001000 => 100001010 => 15
110001001 => 000110101 => 12
110001010 => 000110110 => 13
110001011 => 001011011 => 9
110001100 => 000111010 => 14
110001101 => 001011101 => 10
110001110 => 001011110 => 11
110001111 => 010101111 => 6
110010000 => 010001010 => 16
110010001 => 100010101 => 13
110010010 => 100010110 => 14
110010011 => 001101011 => 10
110010100 => 100011010 => 15
110010101 => 001101101 => 11
110010110 => 001101110 => 12
110010111 => 010110111 => 7
110011000 => 110001010 => 16
110011001 => 001110101 => 12
110011010 => 001110110 => 13
110011011 => 010111011 => 8
110011100 => 001111010 => 14
110011101 => 010111101 => 9
110011110 => 010111110 => 10
110011111 => 101011111 => 4
110100000 => 001001010 => 17
110100001 => 010010101 => 14
110100010 => 010010110 => 15
110100011 => 100101011 => 11
110100100 => 010011010 => 16
110100101 => 100101101 => 12
110100110 => 100101110 => 13
110100111 => 011010111 => 8
110101000 => 011001010 => 17
110101001 => 100110101 => 13
110101010 => 100110110 => 14
110101011 => 011011011 => 9
110101100 => 100111010 => 15
110101101 => 011011101 => 10
110101110 => 011011110 => 11
110101111 => 101101111 => 5
110110000 => 101001010 => 18
110110001 => 110010101 => 14
110110010 => 110010110 => 15
110110011 => 011101011 => 10
110110100 => 110011010 => 16
110110101 => 011101101 => 11
110110110 => 011101110 => 12
110110111 => 101110111 => 6
110111000 => 111001010 => 17
110111001 => 011110101 => 12
110111010 => 011110110 => 13
110111011 => 101111011 => 7
110111100 => 011111010 => 14
110111101 => 101111101 => 8
110111110 => 101111110 => 9
110111111 => 110111111 => 2
111000000 => 000101010 => 18
111000001 => 001010101 => 15
111000010 => 001010110 => 16
111000011 => 010101011 => 12
111000100 => 001011010 => 17
111000101 => 010101101 => 13
111000110 => 010101110 => 14
111000111 => 101010111 => 9
111001000 => 001101010 => 18
111001001 => 010110101 => 14
111001010 => 010110110 => 15
111001011 => 101011011 => 10
111001100 => 010111010 => 16
111001101 => 101011101 => 11
111001110 => 101011110 => 12
111001111 => 110101111 => 6
111010000 => 100101010 => 19
111010001 => 011010101 => 15
111010010 => 011010110 => 16
111010011 => 101101011 => 11
111010100 => 011011010 => 17
111010101 => 101101101 => 12
111010110 => 101101110 => 13
111010111 => 110110111 => 7
111011000 => 011101010 => 18
111011001 => 101110101 => 13
111011010 => 101110110 => 14
111011011 => 110111011 => 8
111011100 => 101111010 => 15
111011101 => 110111101 => 9
111011110 => 110111110 => 10
111011111 => 111011111 => 3
111100000 => 010101010 => 20
111100001 => 101010101 => 16
111100010 => 101010110 => 17
111100011 => 110101011 => 12
111100100 => 101011010 => 18
111100101 => 110101101 => 13
111100110 => 110101110 => 14
111100111 => 111010111 => 8
111101000 => 101101010 => 19
111101001 => 110110101 => 14
111101010 => 110110110 => 15
111101011 => 111011011 => 9
111101100 => 110111010 => 16
111101101 => 111011101 => 10
111101110 => 111011110 => 11
111101111 => 111101111 => 4
111110000 => 110101010 => 20
111110001 => 111010101 => 15
111110010 => 111010110 => 16
111110011 => 111101011 => 10
111110100 => 111011010 => 17
111110101 => 111101101 => 11
111110110 => 111101110 => 12
111110111 => 111110111 => 5
111111000 => 111101010 => 18
111111001 => 111110101 => 12
111111010 => 111110110 => 13
111111011 => 111111011 => 6
111111100 => 111111010 => 14
111111101 => 111111101 => 7
111111110 => 111111110 => 8
111111111 => 111111111 => 0
1111111110 => 1111111110 => 9
1101111110 => 1011111110 => 10
1010111110 => 1001111110 => 10
1001011110 => 1000111110 => 10
1000111110 => 0001111110 => 9
1000101110 => 1000011110 => 10
1000011110 => 0000111110 => 9
1000010110 => 1000001110 => 10
1000001110 => 0000011110 => 9
1000001010 => 1000000110 => 10
1000000110 => 0000001110 => 9
1000000100 => 1000000010 => 10
1000000010 => 0000000110 => 9
1000000000 => 0000000010 => 9
10000000000 => 00000000010 => 10
11111111110 => 11111111110 => 10
0111111111 => 0111111111 => 0
0111100001 => 1010101001 => 16
0111000001 => 0010101001 => 15
0110000001 => 0000101001 => 12
0100000001 => 0000001001 => 7
0000000001 => 0000000001 => 0
01111111111 => 01111111111 => 0
0111010001 => 0110101001 => 15
01111000001 => 01010101001 => 20
0101000001 => 0001001001 => 11
0010000001 => 0000010001 => 6
00000000001 => 00000000001 => 0
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Description
The major index of a binary word.
This is the sum of the positions of descents, i.e., a one followed by a zero.
For words of length $n$ with $a$ zeros, the generating function for the major index is the $q$-binomial coefficient $\binom{n}{a}_q$.
Map
inverse Foata bijection
Description
The inverse of Foata's bijection.
See Mp00096Foata bijection.