111101_{2} - 10111_{2} = ? | vedclass

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(B) To subtract $10111_{2}$ from $111101_{2}$,we can use the $2$'s complement method.Step $1$: Find the $2$'s complement of the subtrahend $10111_{2}$

Vedclass · Accepted Answer

$100110_{2}$

Vedclass · Answer

(B) To subtract $10111_{2}$ from $111101_{2}$,we can use the $2$'s complement method.Step $1$: Find the $2$'s complement of the subtrahend $10111_{2}$.First,find the $1$'s complement of $010111_{2}$ (padding with a leading zero to match the length of $6$ bits),which is $101000_{2}$.Then,add $1$ to the $1$'s complement: $101000_{2} + 1_{2} = 101001_{2}$.Step $2$: Add the minuend to the $2$'s complement of the subtrahend:$\begin{array}{r} 111101_{2} \ + 101001_{2} \ \hline 1100110_{2} \end{array}$Step $3$: Discard the carry bit (the leftmost $1$) to get the final result:$100110_{2}$.Alternatively,performing direct binary subtraction:$\begin{array}{r} 111101_{2} \ - 010111_{2} \ \hline 100110_{2} \end{array}$Thus,$111101_{2} - 10111_{2} = 100110_{2}$.

$111101_{2} - 10111_{2} = ?$

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