MASTER OF COMPUTER APPLICATIONS
Course Code : MCS-012
Course Title : Computer Organisation and Assembly Language Programming
Assignment Number : MCA(I)/012/Assignment/15-16
Maximum Marks : 100
Weightage : 25%
Perform the following arithmetic operations using binary signed 2’s complement notation for integers.
You may assume that the maximum size of integers is of 8 bits including the sign bit. (Please note that the numbers given here are in decimal notation)
i) Add – 128 and 120
ii) Subtract 124 from –99
iii) Add 64 and 61
Please indicate the overflow if it is occurs. Also write how you have identified the overflow.
i) Add –128 and 120
First, we have to represent the number in binary notation
The sign of a binary number is represented by 0 as plus and 1 as minus
Sign bit 7 -bits
0 / 1
Now, Binary value of the given number
128 – 10000000
120 – 01111000
This number value is of more than 8-bits (i.e.8-bits) in signed 2’s complement notation also the value remains the same. Hence this number cannot fit inside it.
To add this numbers we will need one more bit, hence Addition not possible.