Exercise

Using a 4 bit twos complement system, what’s the

1. Largest +ve number ,
2. Lowest  -ve number

That can be represented?

Solution

Notice that +ve numbers have a MSB of 0 and –ve numbers have a MSB of 1.

Therefore,

the largest magnitude +ve number is 0111₂  which is 7, and,

the largest magnitude –ve number is 1000 which is  -8.

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