Identifier
Images
=>
=>
0=>0
1=>1
00=>00
01=>10
10=>01
11=>11
000=>000
001=>100
010=>010
011=>110
100=>001
101=>101
110=>011
111=>111
0000=>0000
0001=>1000
0010=>0100
0011=>1100
0100=>0010
0101=>1010
0110=>0110
0111=>1110
1000=>0001
1001=>1001
1010=>0101
1011=>1101
1100=>0011
1101=>1011
1110=>0111
1111=>1111
00000=>00000
00001=>10000
00010=>01000
00011=>11000
00100=>00100
00101=>10100
00110=>01100
00111=>11100
01000=>00010
01001=>10010
01010=>01010
01011=>11010
01100=>00110
01101=>10110
01110=>01110
01111=>11110
10000=>00001
10001=>10001
10010=>01001
10011=>11001
10100=>00101
10101=>10101
10110=>01101
10111=>11101
11000=>00011
11001=>10011
11010=>01011
11011=>11011
11100=>00111
11101=>10111
11110=>01111
11111=>11111
000000=>000000
000001=>100000
000010=>010000
000011=>110000
000100=>001000
000101=>101000
000110=>011000
000111=>111000
001000=>000100
001001=>100100
001010=>010100
001011=>110100
001100=>001100
001101=>101100
001110=>011100
001111=>111100
010000=>000010
010001=>100010
010010=>010010
010011=>110010
010100=>001010
010101=>101010
010110=>011010
010111=>111010
011000=>000110
011001=>100110
011010=>010110
011011=>110110
011100=>001110
011101=>101110
011110=>011110
011111=>111110
100000=>000001
100001=>100001
100010=>010001
100011=>110001
100100=>001001
100101=>101001
100110=>011001
100111=>111001
101000=>000101
101001=>100101
101010=>010101
101011=>110101
101100=>001101
101101=>101101
101110=>011101
101111=>111101
110000=>000011
110001=>100011
110010=>010011
110011=>110011
110100=>001011
110101=>101011
110110=>011011
110111=>111011
111000=>000111
111001=>100111
111010=>010111
111011=>110111
111100=>001111
111101=>101111
111110=>011111
111111=>111111
0000000=>0000000
0000001=>1000000
0000010=>0100000
0000011=>1100000
0000100=>0010000
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0000110=>0110000
0000111=>1110000
0001000=>0001000
0001001=>1001000
0001010=>0101000
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0001100=>0011000
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0001110=>0111000
0001111=>1111000
0010000=>0000100
0010001=>1000100
0010010=>0100100
0010011=>1100100
0010100=>0010100
0010101=>1010100
0010110=>0110100
0010111=>1110100
0011000=>0001100
0011001=>1001100
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0011100=>0011100
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0011110=>0111100
0011111=>1111100
0100000=>0000010
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0100011=>1100010
0100100=>0010010
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0100111=>1110010
0101000=>0001010
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0101010=>0101010
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1000000=>0000001
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1000010=>0100001
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1000100=>0010001
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1000110=>0110001
1000111=>1110001
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1001001=>1001001
1001010=>0101001
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1001110=>0111001
1001111=>1111001
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1010001=>1000101
1010010=>0100101
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1100010=>0100011
1100011=>1100011
1100100=>0010011
1100101=>1010011
1100110=>0110011
1100111=>1110011
1101000=>0001011
1101001=>1001011
1101010=>0101011
1101011=>1101011
1101100=>0011011
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1101111=>1111011
1110000=>0000111
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1110010=>0100111
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1110111=>1110111
1111000=>0001111
1111001=>1001111
1111010=>0101111
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1111100=>0011111
1111101=>1011111
1111110=>0111111
1111111=>1111111
00000000=>00000000
00000001=>10000000
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00101000=>00010100
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01001100=>00110010
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01001110=>01110010
01001111=>11110010
01010000=>00001010
01010001=>10001010
01010010=>01001010
01010011=>11001010
01010100=>00101010
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01010110=>01101010
01010111=>11101010
01011000=>00011010
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01011010=>01011010
01011011=>11011010
01011100=>00111010
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01011110=>01111010
01011111=>11111010
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01100001=>10000110
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01111110=>01111110
01111111=>11111110
10000000=>00000001
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10000010=>01000001
10000011=>11000001
10000100=>00100001
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10000110=>01100001
10000111=>11100001
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10001010=>01010001
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10001100=>00110001
10001101=>10110001
10001110=>01110001
10001111=>11110001
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10010010=>01001001
10010011=>11001001
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11100001=>10000111
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11111111=>11111111
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11110011001000=>00010011001111
11110011010000=>00001011001111
11110011100000=>00000111001111
11110100010100=>00101000101111
11110100011000=>00011000101111
11110100100010=>01000100101111
11110100100100=>00100100101111
11110100101000=>00010100101111
11110100110000=>00001100101111
11110101000010=>01000010101111
11110101000100=>00100010101111
11110101001000=>00010010101111
11110101010000=>00001010101111
11110101100000=>00000110101111
11110110000010=>01000001101111
11110110000100=>00100001101111
11110110001000=>00010001101111
11110110010000=>00001001101111
11110110100000=>00000101101111
11110111000000=>00000011101111
11111000001100=>00110000011111
11111000010010=>01001000011111
11111000010100=>00101000011111
11111000011000=>00011000011111
11111000100010=>01000100011111
11111000100100=>00100100011111
11111000101000=>00010100011111
11111000110000=>00001100011111
11111001000010=>01000010011111
11111001000100=>00100010011111
11111001001000=>00010010011111
11111001010000=>00001010011111
11111001100000=>00000110011111
11111010000010=>01000001011111
11111010000100=>00100001011111
11111010001000=>00010001011111
11111010010000=>00001001011111
11111010100000=>00000101011111
11111011000000=>00000011011111
11111100000010=>01000000111111
11111100000100=>00100000111111
11111100001000=>00010000111111
11111100010000=>00001000111111
11111100100000=>00000100111111
11111101000000=>00000010111111
11111110000000=>00000001111111
10000000000000=>00000000000001
100000000000000=>000000000000001
1010101010101010=>0101010101010101
1010101010101100=>0011010101010101
1010101010110100=>0010110101010101
1010101010111000=>0001110101010101
1010101011010100=>0010101101010101
1010101011100100=>0010011101010101
1010101011101000=>0001011101010101
1010101011110000=>0000111101010101
1010101101010100=>0010101011010101
1010101110010100=>0010100111010101
1010101110100100=>0010010111010101
1010101111000100=>0010001111010101
1010110011110000=>0000111100110101
1010110101010100=>0010101010110101
1010111001010100=>0010101001110101
1010111010010100=>0010100101110101
1010111011100000=>0000011101110101
1010111100010100=>0010100011110101
1011001010101010=>0101010101001101
1011001011110000=>0000111101001101
1011010010101010=>0101010100101101
1011010011110000=>0000111100101101
1011010101010100=>0010101010101101
1011011011100000=>0000011101101101
1011100010101010=>0101010100011101
1011100011110000=>0000111100011101
1011100101010100=>0010101010011101
1011101001010100=>0010101001011101
1011101011100000=>0000011101011101
1011110001010100=>0010101000111101
1011110011100000=>0000011100111101
1011110111000000=>0000001110111101
1011111010100000=>0000010101111101
1011111011000000=>0000001101111101
1011111100010000=>0000100011111101
1011111100100000=>0000010011111101
1011111101000000=>0000001011111101
1011111110000000=>0000000111111101
1100101010101010=>0101010101010011
1100101011110000=>0000111101010011
1100110010101010=>0101010100110011
1100110011001100=>0011001100110011
1100110011101000=>0001011100110011
1100110011110000=>0000111100110011
1100110100101010=>0101010010110011
1100111000101010=>0101010001110011
1100111010001100=>0011000101110011
1100111011001000=>0001001101110011
1100111011100000=>0000011101110011
1100111101010000=>0000101011110011
1100111101100000=>0000011011110011
1100111110001000=>0001000111110011
1100111110010000=>0000100111110011
1100111110100000=>0000010111110011
1100111111000000=>0000001111110011
1101001010101010=>0101010101001011
1101001011110000=>0000111101001011
1101001100101010=>0101010011001011
1101001101001010=>0101001011001011
1101001110001010=>0101000111001011
1101010010101010=>0101010100101011
1101010011001010=>0101001100101011
1101010011010010=>0100101100101011
1101010011100010=>0100011100101011
1101010011110000=>0000111100101011
1101010100101010=>0101010010101011
1101010100110010=>0100110010101011
1101010100110100=>0010110010101011
1101010100111000=>0001110010101011
1101010101001010=>0101001010101011
1101010101001100=>0011001010101011
1101010101010010=>0100101010101011
1101010101010100=>0010101010101011
1101011011100000=>0000011101101011
1101100011110000=>0000111100011011
1101101011100000=>0000011101011011
1101110011100000=>0000011100111011
1101111011000000=>0000001101111011
1110001011110000=>0000111101000111
1110010011110000=>0000111100100111
1110010101010100=>0010101010100111
1110011011100000=>0000011101100111
1110100011001100=>0011001100010111
1110100011101000=>0001011100010111
1110100011110000=>0000111100010111
1110100101010100=>0010101010010111
1110101011100000=>0000011101010111
1110110010001100=>0011000100110111
1110110011001000=>0001001100110111
1110110011100000=>0000011100110111
1110111001010000=>0000101001110111
1110111011000000=>0000001101110111
1111000010101010=>0101010100001111
1111000010101100=>0011010100001111
1111000010110010=>0100110100001111
1111000010110100=>0010110100001111
1111000010111000=>0001110100001111
1111000011001010=>0101001100001111
1111000011001100=>0011001100001111
1111000011010010=>0100101100001111
1111000011010100=>0010101100001111
1111000011011000=>0001101100001111
1111000011100010=>0100011100001111
1111000011100100=>0010011100001111
1111000011101000=>0001011100001111
1111000011110000=>0000111100001111
1111000101010100=>0010101010001111
1111001011100000=>0000011101001111
1111010011100000=>0000011100101111
1111010100001100=>0011000010101111
1111010110001000=>0001000110101111
1111011010010000=>0000100101101111
1111011011000000=>0000001101101111
1111011100000010=>0100000011101111
1111100010001010=>0101000100011111
1111100010001100=>0011000100011111
1111100010010010=>0100100100011111
1111100010010100=>0010100100011111
1111100010011000=>0001100100011111
1111100010100010=>0100010100011111
1111100010100100=>0010010100011111
1111100010101000=>0001010100011111
1111100010110000=>0000110100011111
1111100011000010=>0100001100011111
1111100011000100=>0010001100011111
1111100011001000=>0001001100011111
1111100011010000=>0000101100011111
1111100011100000=>0000011100011111
1111101010000010=>0100000101011111
1111101010100000=>0000010101011111
1111101011000000=>0000001101011111
1111101100000010=>0100000011011111
1111101110000000=>0000000111011111
1111110001000010=>0100001000111111
1111110010000010=>0100000100111111
1111110010000100=>0010000100111111
1111110010001000=>0001000100111111
1111110010010000=>0000100100111111
1111110010100000=>0000010100111111
1111110011000000=>0000001100111111
1111110100000010=>0100000010111111
1111110101000000=>0000001010111111
1111110110000000=>0000000110111111
1111111000000010=>0100000001111111
1111111000100000=>0000010001111111
1111111001000000=>0000001001111111
1111111010000000=>0000000101111111
1111111100000000=>0000000011111111
1000000000000000=>0000000000000001
101010101010101010=>010101010101010101
101010101010101100=>001101010101010101
101010101010110100=>001011010101010101
101010101011010100=>001010110101010101
101010101101010100=>001010101101010101
101010110101010100=>001010101011010101
101011010101010100=>001010101010110101
101101010101010100=>001010101010101101
110101010101010100=>001010101010101011
101010101010111000=>000111010101010101
101010101011100100=>001001110101010101
101010101110010100=>001010011101010101
101010111001010100=>001010100111010101
101011100101010100=>001010101001110101
101110010101010100=>001010101010011101
111001010101010100=>001010101010100111
111111110000000010=>010000000011111111
101111111100000000=>000000001111111101
111111101000000010=>010000000101111111
101111111010000000=>000000010111111101
111111100100000010=>010000001001111111
111111011000000010=>010000000110111111
101111111001000000=>000000100111111101
101111110110000000=>000000011011111101
110010101010101010=>010101010101010011
110100101010101010=>010101010101001011
110101001010101010=>010101010100101011
110101010010101010=>010101010010101011
110101010100101010=>010101001010101011
110101010101001010=>010100101010101011
110101010101010010=>010010101010101011
111111111000000000=>000000000111111111
110011111110000000=>000000011111110011
111111110100000000=>000000001011111111
110011111101000000=>000000101111110011
111111110010000000=>000000010011111111
111111101100000000=>000000001101111111
110011111100100000=>000001001111110011
110011111011000000=>000000110111110011
110101010101001100=>001100101010101011
110101010100110010=>010011001010101011
110101010011001010=>010100110010101011
110101001100101010=>010101001100101011
110100110010101010=>010101010011001011
110011001010101010=>010101010100110011
101100101010101010=>010101010101001101
10101010101010101010=>01010101010101010101
10101010101010101100=>00110101010101010101
10101010101010110100=>00101101010101010101
10101010101011010100=>00101011010101010101
10101010101101010100=>00101010110101010101
10101010110101010100=>00101010101101010101
10101011010101010100=>00101010101011010101
10101101010101010100=>00101010101010110101
10110101010101010100=>00101010101010101101
11010101010101010100=>00101010101010101011
11111111100000000010=>01000000000111111111
10111111111000000000=>00000000011111111101
11111111010000000010=>01000000001011111111
10111111110100000000=>00000000101111111101
11001010101010101010=>01010101010101010011
11010010101010101010=>01010101010101001011
11010100101010101010=>01010101010100101011
11010101001010101010=>01010101010010101011
11010101010010101010=>01010101001010101011
11010101010100101010=>01010100101010101011
11010101010101001010=>01010010101010101011
11010101010101010010=>01001010101010101011
11111111110000000000=>00000000001111111111
11001111111100000000=>00000000111111110011
11111111101000000000=>00000000010111111111
11001111111010000000=>00000001011111110011
1111111111000000000010=>0100000000001111111111
1011111111110000000000=>0000000000111111111101
1111111111100000000000=>0000000000011111111111
1100111111111000000000=>0000000001111111110011
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Description
Return the reversal of a binary word.
Properties
bijective, graded, involutive
Sage code
def mapping(X): return X.reversal()
Weight
11
Created
Jan 29, 2020 at 13:26 by FindStatCrew
Updated
Jan 29, 2020 at 13:26 by Martin Rubey
searching the database
Sorry, this map was not found in the database.