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Arithmetic Operations and Circuits - Technical MCQs

Q1:

The two's complement system is to be used to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.

A –14 and –13; –27

B –113 and –114; 227

C –27 and –13; 40

D –11 and –16; –27

ANS:A - –14 and –13; –27

First number:11110010
Here first MSB(Most Significant Bit)is 1. So the number is negative number.
1's complement of first number:00001101
2's complement of first number:00001110
Decimal number corespond to 00001110 is 14. here the number is negative. so -14.
In the same way find second number that is -13 so the sum is -27