Question 1.2.3: 11001, 1001 and 111001 correspond to the 2’s complement repr...

11001, 1001 and 111001 correspond to the 2’s complement representation of which of the following sets of number?

(a) 25, 9 and 57, respectively

(b) −6, −6 and −6, respectively

(c) −7, −7 and −7, respectively

(d) −25, −9 and −57, respectively

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\begin{array}{r}11001 \stackrel{\text { inv } 2 ; s }{\longrightarrow}-00111=-7 \\1001 \stackrel{\text { inv } 2 ; s }{\longrightarrow}-0111=-7 \\111001 \longrightarrow-000111=-7\end{array}

*(For inv. 2’s complement, subtract (+1) and then take 1’s comp)

\Rightarrow(\underline{6})-7,-7,-7

Hence, the correct option is (c).

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