The range of the signed decimal numbers that can be represented

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The range of the signed decimal numbers that can be represented by 6-bit 1’s complement numbers is—

1. – 31 to + 31
2. – 63 to + 64
3. – 64 to + 63
4. – 32 to + 31

Correct Option: A

In 1’s complement signal representation is given as
2^{n – 1} – 1 to – (2^{n – 1} – 1)
Now, for n = 6 bit, the range will be:
(2^{6 – 1} – 1) to – (2^{6 – 1} – 1)
31 to – 31