Perform the following calculations, given that all numbers are in 2’s complement

Question

Perform the following calculations, given that all numbers are in 2’s complement, then convert to base 10. Leave answers in the given bit length and make a note of it if overflow occurs:

a) 1101 - 0100

b) 1011 + 0101

c) 01011 + 00110

Explanation / Answer

a) 1101 - 0100 +1101 -0100 -0100 => 1100 so, 1101 - 0100 = 1101 + 1100 1101 1100 ----- (1)1001 ----- There was an overflow, 1101 in decimal is -0011 => -3 b) 1011 + 0101 1011 0101 ----- (1)0000 ----- There was an overflow, 0000 in decimal is 0 c) 01011 + 00110 01011 00110 ----- 10001 ----- There was no overflow, 10001 in decimal is -01111 => -15

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