Multiply 1111 by 11 in the binary system. | vedclass

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Question

(B) To multiply $1111_2$ by $11_2$ in the binary system,we perform the multiplication as follows:$\begin{array}{r@{\quad}l} & 1111_2 \ 	imes & 0011_

Vedclass · Accepted Answer

$101101$

Vedclass · Answer

(B) To multiply $1111_2$ by $11_2$ in the binary system,we perform the multiplication as follows:$\begin{array}{r@{\quad}l} & 1111_2 \ 	imes & 0011_2 \ \hline & 1111_2 \ 11110_2 & \ \hline 101101_2 \end{array}$Step $1$: Multiply $1111_2$ by the unit digit $1$ of $11_2$,which gives $1111_2$.Step $2$: Multiply $1111_2$ by the second digit $1$ (which represents $2^1$ or $10_2$),which gives $11110_2$.Step $3$: Add the two results: $1111_2 + 11110_2 = 101101_2$.Thus,the correct option is $B$.

Multiply $1111$ by $11$ in the binary system.

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