10001_{2} - 1111_{2} = ? | vedclass

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(C) To subtract $1111_{2}$ from $10001_{2}$,we can perform binary subtraction directly:$10001_{2} - 1111_{2}$Step-by-step subtraction:$1 - 1 = 0$$0 -

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$10$

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(C) To subtract $1111_{2}$ from $10001_{2}$,we can perform binary subtraction directly:$10001_{2} - 1111_{2}$Step-by-step subtraction:$1 - 1 = 0$$0 - 1$ (borrow from next column) $\rightarrow 10 - 1 = 1$$0 - 1$ (after borrow) $\rightarrow 10 - 1 = 1$$0 - 1$ (after borrow) $\rightarrow 10 - 1 = 1$$1 - 1$ (after borrow) $\rightarrow 0$Result: $00010_{2} = 10_{2}$.Alternatively,converting to decimal:$10001_{2} = 2^{4} + 2^{0} = 16 + 1 = 17_{10}$$1111_{2} = 2^{3} + 2^{2} + 2^{1} + 2^{0} = 8 + 4 + 2 + 1 = 15_{10}$$17 - 15 = 2_{10}$$2_{10}$ in binary is $10_{2}$.

$10001_{2} - 1111_{2} = ?$

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