11001_{2} + 11011_{2} + 11111_{2} = ? | vedclass

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Question

(A) To add the binary numbers $11001_{2}$, $11011_{2}$, and $11111_{2}$, we perform column-wise addition from right to left:$11001_{2}$$11011_{2}$$111

Vedclass · Accepted Answer

$1010011_{2}$

Vedclass · Answer

(A) To add the binary numbers $11001_{2}$, $11011_{2}$, and $11111_{2}$, we perform column-wise addition from right to left:$11001_{2}$$11011_{2}$$11111_{2}$----------$1$. Column $1$ (rightmost): $1 + 1 + 1 = 3_{10}$. In binary, $3_{10} = 11_{2}$. Write $1$, carry $1$.$2$. Column $2$: $0 + 1 + 1 + 1 (	ext{carry}) = 3_{10} = 11_{2}$. Write $1$, carry $1$.$3$. Column $3$: $0 + 0 + 1 + 1 (	ext{carry}) = 2_{10} = 10_{2}$. Write $0$, carry $1$.$4$. Column $4$: $1 + 1 + 1 + 1 (	ext{carry}) = 4_{10} = 100_{2}$. Write $0$, carry $10_{2}$.$5$. Column $5$: $1 + 1 + 1 + 2 (	ext{carry}) = 5_{10} = 101_{2}$.Combining these, we get $1010011_{2}$.

$11001_{2} + 11011_{2} + 11111_{2} = ?$

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