111_{2} + 101_{2} + 011_{2} = ? | vedclass

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Question

(B) To add the binary numbers $111_{2}$, $101_{2}$, and $011_{2}$, we perform column-wise addition from right to left:$1$. Rightmost column: $1 + 1 +

Vedclass · Accepted Answer

$1111_{2}$

Vedclass · Answer

(B) To add the binary numbers $111_{2}$, $101_{2}$, and $011_{2}$, we perform column-wise addition from right to left:$1$. Rightmost column: $1 + 1 + 1 = 3_{10}$. In binary, $3_{10} = 11_{2}$. Write $1$ and carry over $1$.$2$. Middle column: $1 + 0 + 1 + (	ext{carry } 1) = 3_{10} = 11_{2}$. Write $1$ and carry over $1$.$3$. Leftmost column: $1 + 1 + 0 + (	ext{carry } 1) = 3_{10} = 11_{2}$.Thus, the sum is $1111_{2}$.

$111_{2} + 101_{2} + 011_{2} = ?$

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