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000 = 0

001 = 1

010 = 2

011 = 3

100 = 4 or -4

101 = 5 or -3

110 = 6 or -2

111 = 7 or -1

The alternatives are if you are using a signed 3 bit number.

Mathematically speaking, the above is all the possible permutations of three bits where each bit can be 0 or 1; The possible combinations of three bits where each bit can be 0 or 1 are: 000, 001, 011 & 111.

With permutations order matters whereas with combinations it doesn't.

The combination of one 1 and two 0s can be written as 3 permutations:

001 - two 0s followed by one 1

010 - one 0 followed by one 1, followed by one 0

100 - one 1 followed by two 0s.

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