1
GATE CSE 2026 Set 2
MCQ (More than One Correct Answer)
+1
-0

In a system, numbers are represented using 4-bit two's complement form. Consider four numbers $N 1=1011, N 2=1101, N 3=1010$ and $N 4=1001$ in the system. Which of the following operations will result in arithmetic overflow?

A

$\mathrm{N} 1+\mathrm{N} 2$

B

$\mathrm{N} 2+\mathrm{N} 3$

C

$\mathrm{N} 3-\mathrm{N} 4$

D

$N 1+N 4$

2
GATE CSE 2026 Set 2
Numerical
+1
-0

The 32-bit IEEE 754 single precision representation of a number is 0xC2710000. The number in decimal representation is $\_\_\_\_$ . (rounded off to two decimal places)

Your input ____
3
GATE CSE 2026 Set 1
MCQ (More than One Correct Answer)
+1
-0

Consider the 8-bit signed integers $X, Y$ and $Z$ represented using the sign-magnitude form. The binary representations of $X$ and $Y$ are as follows:

$$ X: 10110100 \quad Y: 01001100 $$

Which of the following operations to compute $Z$ result(s) in an arithmetic overflow?

A

$Z=X+Y$

B

$Z=X-Y$

C

$Z=-X+Y$

D

$Z=-X-Y$

4
GATE CSE 2025 Set 1
MCQ (More than One Correct Answer)
+1
-0

The number -6 can be represented as 1010 in 4-bit 2's complement representation. Which of the following is/are CORRECT 2's complement representation(s) of $-6$ ?

A
10001010 in 8-bits
B
11111010 in 8-bits
C
1000000000001010 in 16-bits
D
1111111111111010 in 16-bits

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