Identifier
Images
=>
0=>0
1=>1
00=>00
01=>10
10=>01
11=>11
000=>000
001=>100
010=>001
011=>101
100=>010
101=>110
110=>011
111=>111
0000=>0000
0001=>1000
0010=>0001
0011=>1001
0100=>0010
0101=>1010
0110=>0011
0111=>1011
1000=>0100
1001=>1100
1010=>0101
1011=>1101
1100=>0110
1101=>1110
1110=>0111
1111=>1111
00000=>00000
00001=>10000
00010=>00001
00011=>10001
00100=>00010
00101=>10010
00110=>00011
00111=>10011
01000=>00100
01001=>10100
01010=>00101
01011=>10101
01100=>00110
01101=>10110
01110=>00111
01111=>10111
10000=>01000
10001=>11000
10010=>01001
10011=>11001
10100=>01010
10101=>11010
10110=>01011
10111=>11011
11000=>01100
11001=>11100
11010=>01101
11011=>11101
11100=>01110
11101=>11110
11110=>01111
11111=>11111
000000=>000000
000001=>100000
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000011=>100001
000100=>000010
000101=>100010
000110=>000011
000111=>100011
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001011=>100101
001100=>000110
001101=>100110
001110=>000111
001111=>100111
010000=>001000
010001=>101000
010010=>001001
010011=>101001
010100=>001010
010101=>101010
010110=>001011
010111=>101011
011000=>001100
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011010=>001101
011011=>101101
011100=>001110
011101=>101110
011110=>001111
011111=>101111
100000=>010000
100001=>110000
100010=>010001
100011=>110001
100100=>010010
100101=>110010
100110=>010011
100111=>110011
101000=>010100
101001=>110100
101010=>010101
101011=>110101
101100=>010110
101101=>110110
101110=>010111
101111=>110111
110000=>011000
110001=>111000
110010=>011001
110011=>111001
110100=>011010
110101=>111010
110110=>011011
110111=>111011
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111001=>111100
111010=>011101
111011=>111101
111100=>011110
111101=>111110
111110=>011111
111111=>111111
0000000=>0000000
0000001=>1000000
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1001010=>0100101
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1101000=>0110100
1101001=>1110100
1101010=>0110101
1101011=>1110101
1101100=>0110110
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1110000=>0111000
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1111000=>0111100
1111001=>1111100
1111010=>0111101
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1111110=>0111111
1111111=>1111111
00000000=>00000000
00000001=>10000000
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01011000=>00101100
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01011110=>00101111
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10000000=>01000000
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11111111=>11111111
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001010101010011101=>100101010101001110
001010101010100111=>100101010101010011
010101010101010011=>101010101010101001
010101010101001011=>101010101010100101
010101010100101011=>101010101010010101
010101010010101011=>101010101001010101
010101001010101011=>101010100101010101
010100101010101011=>101010010101010101
010010101010101011=>101001010101010101
010101010101000111=>101010101010100011
010101010100011011=>101010101010001101
010101010001101011=>101010101000110101
010101000110101011=>101010100011010101
010100011010101011=>101010001101010101
010001101010101011=>101000110101010101
000110101010101011=>100011010101010101
111010010101010100=>011101001010101010
110110010101010100=>011011001010101010
101110001010101010=>010111000101010101
110101010101101000=>011010101010110100
110101010110101000=>011010101011010100
110110101010101000=>011011010101010100
111010101010101000=>011101010101010100
110101010101110000=>011010101010111000
110101010111010000=>011010101011101000
111111111000000000=>011111111100000000
111111100000001010=>011111110000000101
111111000000101010=>011111100000010101
111110000010101010=>011111000001010101
111100001010101010=>011110000101010101
111111110000000100=>011111111000000010
111111100000010010=>011111110000001001
111111000001001010=>011111100000100101
111110000100101010=>011111000010010101
111100010010101010=>011110001001010101
111001001010101010=>011100100101010101
111111110010000000=>011111111001000000
111111110100000000=>011111111010000000
110111111001000000=>011011111100100000
110111111010000000=>011011111101000000
111010101010100010=>011101010101010001
111010101010100100=>011101010101010010
111010101010001010=>011101010101000101
110111111100000000=>011011111110000000
110011111100000010=>011001111110000001
111011111100000000=>011101111110000000
111111110000001000=>011111111000000100
101111110000001100=>010111111000000110
101111110101000000=>010111111010100000
101111101010100000=>010111110101010000
101111010101010000=>010111101010101000
101110101010101000=>010111010101010100
101011111110000000=>010101111111000000
101111110010100000=>010111111001010000
101111100101010000=>010111110010101000
101111001010101000=>010111100101010100
111001010101010010=>011100101010101001
101110101010100100=>010111010101010010
101011101010010100=>010101110101001010
101011001011010100=>010101100101101010
101100101010110100=>010110010101011010
110010101010101100=>011001010101010110
110101011101010000=>011010101110101000
110101110101010000=>011010111010101000
110111010101010000=>011011101010101000
111101010101010000=>011110101010101000
110101010100111000=>011010101010011100
110101010011110000=>011010101001111000
110101001111010000=>011010100111101000
110100111101010000=>011010011110101000
110011110101010000=>011001111010101000
111111110000010000=>011111111000001000
111111110000100000=>011111111000010000
111111110001000000=>011111111000100000
111111000000110100=>011111100000011010
111110000011101000=>011111000001110100
111100001111010000=>011110000111101000
111000111110100000=>011100011111010000
110011111101000000=>011001111110100000
111111011001000000=>011111101100100000
111010101000101010=>011101010100010101
111010100010101010=>011101010001010101
111010001010101010=>011101000101010101
110010101010110100=>011001010101011010
110100101010110100=>011010010101011010
110100101010101100=>011010010101010110
101100101010101100=>010110010101010110
111111101100000000=>011111110110000000
111111010110000000=>011111101011000000
111111100101000000=>011111110010100000
111111010011000000=>011111101001100000
111110110110000000=>011111011011000000
111111100100100000=>011111110010010000
111111001101000000=>011111100110100000
101111111000000010=>010111111100000001
110101010110010100=>011010101011001010
110101010110100100=>011010101011010010
101101010010101010=>010110101001010101
101011010010101010=>010101101001010101
101010110010101010=>010101011001010101
110101010111000100=>011010101011100010
110101010110110000=>011010101011011000
110101010010101100=>011010101001010110
111101010010101000=>011110101001010100
110011010010101010=>011001101001010101
101100110010101010=>010110011001010101
101011001010101010=>010101100101010101
110011111110000000=>011001111111000000
101010100101010111=>110101010010101011
111010101001010101=>111101010100101010
101010111101010111=>110101011110101011
111010101111010101=>111101010111101010
101010110001010111=>110101011000101011
101010001101010111=>110101000110101011
111010101100010101=>111101010110001010
111010100011010101=>111101010001101010
110010101010110010=>011001010101011001
110101010101100100=>011010101010110010
111111100000001100=>011111110000000110
111111010000001100=>011111101000000110
111111101000000100=>011111110100000010
111111100100000100=>011111110010000010
111111011000000100=>011111101100000010
111000111111000000=>011100011111100000
111100001111100000=>011110000111110000
111110000011110000=>011111000001111000
111111000000111000=>011111100000011100
110100111111000000=>011010011111100000
111010001111100000=>011101000111110000
111101000011110000=>011110100001111000
111110100000111000=>011111010000011100
111111111111111111=>111111111111111111
111111111111111001=>111111111111111100
111111111111100001=>111111111111110000
111111111110000001=>111111111111000000
111111111000000001=>111111111100000000
111111100000000001=>111111110000000000
111110000000000001=>111111000000000000
111000000000000001=>111100000000000000
100000000000000001=>110000000000000000
111111111111101101=>111111111111110110
111111111110110001=>111111111111011000
111111111011000001=>111111111101100000
111111101100000001=>111111110110000000
111110110000000001=>111111011000000000
111011000000000001=>111101100000000000
101100000000000001=>110110000000000000
101010101011001100=>010101010101100110
111101010101100000=>011110101010110000
111110010101010000=>011111001010101000
111110101011000000=>011111010101100000
111111001010100000=>011111100101010000
111101010100110000=>011110101010011000
111011010101100000=>011101101010110000
111110010101001000=>011111001010100100
111100110101010000=>011110011010101000
110101010101001100=>011010101010100110
110111111000000010=>011011111100000001
110011011111000000=>011001101111100000
111011110000001100=>011101111000000110
111000111011100000=>011100011101110000
111101100000111000=>011110110000011100
111111011100000000=>011111101110000000
111110111100000000=>011111011110000000
111101111100000000=>011110111110000000
111111101010000000=>011111110101000000
111110111000100000=>011111011100010000
111101111000010000=>011110111100001000
111011111000001000=>011101111100000100
110111111000000100=>011011111100000010
111010101010001100=>011101010101000110
110011101010101000=>011001110101010100
110110101010100010=>011011010101010001
101101010101011000=>010110101010101100
110011010101010100=>011001101010101010
10101010101010101010=>01010101010101010101
10101010101010101100=>01010101010101010110
10101010101010110100=>01010101010101011010
10101010101011010100=>01010101010101101010
10101010101101010100=>01010101010110101010
10101010110101010100=>01010101011010101010
10101011010101010100=>01010101101010101010
10101101010101010100=>01010110101010101010
10110101010101010100=>01011010101010101010
11010101010101010100=>01101010101010101010
11111111100000000010=>01111111110000000001
10111111111000000000=>01011111111100000000
11111111010000000010=>01111111101000000001
10111111110100000000=>01011111111010000000
00000000011111111101=>10000000001111111110
01000000000111111111=>10100000000011111111
00000000101111111101=>10000000010111111110
01000000001011111111=>10100000000101111111
11001010101010101010=>01100101010101010101
11010010101010101010=>01101001010101010101
11010100101010101010=>01101010010101010101
11010101001010101010=>01101010100101010101
11010101010010101010=>01101010101001010101
11010101010100101010=>01101010101010010101
11010101010101001010=>01101010101010100101
11010101010101010010=>01101010101010101001
01010101010101010101=>10101010101010101010
00110101010101010101=>10011010101010101010
00101101010101010101=>10010110101010101010
00101011010101010101=>10010101101010101010
00101010110101010101=>10010101011010101010
00101010101101010101=>10010101010110101010
00101010101011010101=>10010101010101101010
00101010101010110101=>10010101010101011010
00101010101010101101=>10010101010101010110
00101010101010101011=>10010101010101010101
01010101010101010011=>10101010101010101001
01010101010101001011=>10101010101010100101
01010101010100101011=>10101010101010010101
01010101010010101011=>10101010101001010101
01010101001010101011=>10101010100101010101
01010100101010101011=>10101010010101010101
01010010101010101011=>10101001010101010101
01001010101010101011=>10100101010101010101
11100101010101010100=>01110010101010101010
11100010101010101010=>01110001010101010101
11010101010101011000=>01101010101010101100
11011010101010101000=>01101101010101010100
11010101010101110000=>01101010101010111000
11111111110000000000=>01111111111000000000
11111111000000001010=>01111111100000000101
11111110000000101010=>01111111000000010101
11111100000010101010=>01111110000001010101
11111000001010101010=>01111100000101010101
11110000101010101010=>01111000010101010101
11111111100100000000=>01111111110010000000
11111111101000000000=>01111111110100000000
10111111110010000000=>01011111111001000000
11011111111000000000=>01101111111100000000
11111111100000000100=>01111111110000000010
10111111101010000000=>01011111110101000000
10111111010101000000=>01011111101010100000
10111110101010100000=>01011111010101010000
10111101010101010000=>01011110101010101000
10111010101010101000=>01011101010101010100
11010101010111010000=>01101010101011101000
11010101011101010000=>01101010101110101000
11010101110101010000=>01101010111010101000
11010111010101010000=>01101011101010101000
11011101010101010000=>01101110101010101000
11110101010101010000=>01111010101010101000
11111111100000001000=>01111111110000000100
11111111100000010000=>01111111110000001000
11111111100000100000=>01111111110000010000
11111111100001000000=>01111111110000100000
11111111100010000000=>01111111110001000000
11001010101010110100=>01100101010101011010
11001010101010101100=>01100101010101010110
11111111011000000000=>01111111101100000000
11111110101100000000=>01111111010110000000
11111111001010000000=>01111111100101000000
10111111110000000010=>01011111111000000001
10101010101100101010=>01010101010110010101
10101010101101001010=>01010101010110100101
10101010101101010010=>01010101010110101001
11101010100101010100=>01110101010010101010
11011010100101010100=>01101101010010101010
11010110100101010100=>01101011010010101010
11010101100101010100=>01101010110010101010
11001111111100000000=>01100111111110000000
10101010110101010111=>11010101011010101011
11101010101101010101=>11110101010110101010
10101010000101010111=>11010101000010101011
11101010100001010101=>11110101010000101010
11111111000000001100=>01111111100000000110
11111111010000000100=>01111111101000000010
11100011111110000000=>01110001111111000000
11110000111111000000=>01111000011111100000
11111000001111100000=>01111100000111110000
11111100000011110000=>01111110000001111000
11111110000000111000=>01111111000000011100
11111111111111111111=>11111111111111111111
11111111111111111001=>11111111111111111100
11111111111111100001=>11111111111111110000
11111111111110000001=>11111111111111000000
11111111111000000001=>11111111111100000000
11111111100000000001=>11111111110000000000
11111110000000000001=>11111111000000000000
11111000000000000001=>11111100000000000000
11100000000000000001=>11110000000000000000
10000000000000000001=>11000000000000000000
11111010101011000000=>01111101010101100000
11111100101010100000=>01111110010101010000
11110101010101100000=>01111010101010110000
11111001010101010000=>01111100101010101000
11111110111000000000=>01111111011100000000
11111101111000000000=>01111110111100000000
11111011111000000000=>01111101111100000000
11110111111000000000=>01111011111100000000
11101111111000000000=>01110111111100000000
11101010101010100100=>01110101010101010010
1111111111000000000010=>0111111111100000000001
1011111111110000000000=>0101111111111000000000
0000000000111111111101=>1000000000011111111110
0100000000001111111111=>1010000000000111111111
1101010101010101010100=>0110101010101010101010
1010101010101010101100=>0101010101010101010110
1111111111001000000000=>0111111111100100000000
1111111111010000000000=>0111111111101000000000
1010101010101010110100=>0101010101010101011010
1111111110110000000000=>0111111111011000000000
1010101010010101010111=>1101010101001010101011
1110101010100101010101=>1111010101010010101010
1100101010101010101010=>0110010101010101010101
1111111111000000000100=>0111111111100000000010
1111101010101011000000=>0111110101010101100000
1111110010101010100000=>0111111001010101010000
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Description
The rotation of a binary word, last letter first.
This is the word obtained by moving the last letter to the beginnig.
This is the word obtained by moving the last letter to the beginnig.
Properties
bijective, graded
Sage code
def mapping(w): return Word([int(w[-1])] + [int(l) for l in w[:-1]], [0,1])
Weight
26
Created
Jan 29, 2020 at 13:27 by FindStatCrew
Updated
Jan 29, 2020 at 13:27 by Martin Rubey
searching the database
Sorry, this map was not found in the database.