1000_{2} + 1101_{2} + 1111_{2} = ? | vedclass

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Question

(A) To add the binary numbers $1000_{2}$, $1101_{2}$, and $1111_{2}$, we perform column-wise addition from right to left:$1$. Rightmost column: $0 + 1

Vedclass · Accepted Answer

$100100_{2}$

Vedclass · Answer

(A) To add the binary numbers $1000_{2}$, $1101_{2}$, and $1111_{2}$, we perform column-wise addition from right to left:$1$. Rightmost column: $0 + 1 + 1 = 2_{10} = 10_{2}$. Write $0$, carry $1$.$2$. Second column: $0 + 0 + 1 + 1 (	ext{carry}) = 2_{10} = 10_{2}$. Write $0$, carry $1$.$3$. Third column: $0 + 1 + 1 + 1 (	ext{carry}) = 3_{10} = 11_{2}$. Write $1$, carry $1$.$4$. Fourth column: $1 + 1 + 1 + 1 (	ext{carry}) = 4_{10} = 100_{2}$. Write $100$.Combining these, we get $100100_{2}$.

$1000_{2} + 1101_{2} + 1111_{2} = ?$

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