1
GATE CSE 2026 Set 2
MCQ (Single Correct Answer)
+1
-0

Which one of the following options is not a property of Boolean Algebra?

Note: + is OR operation, • is AND operation, and ' is NOT operation

A

$a+b=b+a$

B

$a \cdot a^{\prime}=1$

C

$a+a^{\prime}=1$

D

$a \times b=b \cdot a$

2
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

$N 1+N 4$

3
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 ____
4
GATE CSE 2026 Set 2
MCQ (Single Correct Answer)
+2
-0

Consider the following 4-variable Boolean function

$$ F(A, B, C, D)=\Sigma m(0,1,2,3,8,9,10,11) $$

Consider $A$ as MSB, $D$ as LSB. Which one of the following options represents the minimal sum of products form for the above function?

Note: + is OR operation, • is AND operation, ' is NOT operation

A

$A^{\prime}+B^{\prime}+C^{\prime}+D^{\prime}$

B

$B^{\prime}$

C

$A^{\prime} \cdot B^{\prime}+A \cdot B$

D

$A^{\prime}$