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Subtract the following using method given below:

i) $(11)_{10} – (22)_{10}$ using 2’s complement.

ii) $(33)_{10} – (44)_{10}$ using one’s complement.

Marks: 5 M

Year: Dec 2013

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i) $(11)_{10} – (22)_{10}$ using 2’s complement.

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$2’s complement of (22)_{10} = (10110)_2 = (01001) + (1) = (01010)_2$

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$2’s complement of (10101)_2 = (01010) + (1) = (01011)_2 = (11)_{10}$

$(11)10 – (22)10 = (11)10$

ii) $(33)_{10} – (44)_{10}$ using one’s complement

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1’s complement of $(44)_{10} = (101100)_2 = (010011)_2$

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1’s complement of $(110100)_2 = (001011)_2 = (11)_{10}$

$(33)_{10} – (44)_{10} = (11)_{10}$

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