GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 29

Answer 1

$-1$ in Twos complement is $1$.

$1$ in Twos complement is $01$.

With $n-bits$, we can represent $-2^{n-1}$ to $2^{n-1} -1 $ numbers in Twos complement number system.

Comments

good question..
I misinterpreted question as we want to represent -1 and 1 simultaneously..

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@krishnajsw can u plz explain a little? 

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@trail
using 1 bit you can represent number between -2^(1-1) to (2^(1-1) - 1)  -> -1 to 0
using 2 bit you can represent number between -2^(2-1) to (2^(2-1) - 1) -> -2 to 1
so to represent -1 -> 1 bit is enough
to represent 1 -> 2 bit required