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Previous Year Question (PYQs)

An embedded computer uses $8$-bit $2$'s complement representation for signed integers. What is the minimum negative integer value which can be represented in this computer?




Solution

In $n$-bit $2$'s complement representation, the range of signed integers is:

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

Here,

$n=8$

So, range is:

$-2^{7}$ to $2^{7}-1$

$=-128$ to $127$

Therefore, the minimum negative integer value is $-128$.


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