Multiply 101 by 11 in the binary system. | vedclass

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Question

(A) To multiply $101_2$ by $11_2$ in the binary system,we perform the multiplication as follows:$\begin{array}{r@{\quad}l} & 101_2 \ 	imes & 11_2 \

Vedclass · Accepted Answer

$1111$

Vedclass · Answer

(A) To multiply $101_2$ by $11_2$ in the binary system,we perform the multiplication as follows:$\begin{array}{r@{\quad}l} & 101_2 \ 	imes & 11_2 \ \hline & 101_2 \ 1010_2 & \ \hline 1111_2 \end{array}$Step $1$: Multiply $101_2$ by the unit digit $1$ of $11_2$,which gives $101_2$.Step $2$: Multiply $101_2$ by the second digit $1$ of $11_2$ (shifting one position to the left),which gives $1010_2$.Step $3$: Add the results: $101_2 + 1010_2 = 1111_2$.Thus,the correct option is $A$.

Multiply $101$ by $11$ in the binary system.

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