Signed Binary Arithmetic|Negative Binary Number|Two’s Complement Binary Signed Number Representation

#gatecomputerscience #ugcnetcomputerscience #tntrb #hpsc #apsc
Free Computer Science Course 2025 by Priyanka Mam -Unify Study.
How to solve Binary Signed Integer Arithmetic problems?Negative Binary Number-Two’s complement Binary Signed Number Representation
How to understand Overflow Underflow in Binary Arithmetic problems?
Clear your concept of Two’s complement Binary Signed number Representation to solve these type of Questions

Q1.Consider a system that uses 5 bits for representing signed integers in 2's complement format. In this system, two integers A and B are represented as A=01010 and B=11010. Which one of the following operations will result in either an arithmetic overflow or an arithmetic underflow?
A A+B
B A−B
C B−A
D 2∗B

Q2.The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results in
 (A) 0001 and an overflow
(B) 1001 and no overflow
(C) 0001 and no overflow
(D) 1001 and an overflow

Q3.In 4-bit 2's complement arithmetic, identify the addition operations among the following that lead to overflow.
I. 1100+1100
II. 0011+0111
III. 1111+0111
(A) Only I
(B) Only II
(C) Only III
(D) Only I and III