Virtual Gate Test Series: Digital Logic - Number Representation

Question

How many minimum bits are required to represent $-16$ in $2's$ complement form

Comments

2's complement range

$-2^{n-1} \ to\ 2^{n-1}-1$

so for -16 it needs 5 bits

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10000

Answer 1

We know the range of 2's complement is from -2^n-1 to 2^n-1-1

now -16=-2^n-1

n-1=4

n=5

5 bits required

Answer 2

-16 in  2's Complement is 100000
hence 5 bits