Q.No:1 JAM-2015
Which of the following circuits represent the Boolean expression
Check Answer
Option B
Q.No:2 JAM-2016
The solution of the Boolean equation
\(Y=\overline{A+B}+\overline{AB}\) is
(A)
\(1\)
(B)
\(\overline{AB}\)
(C)
\(\bar{A}\hspace{0.2mm}\bar{B}\)
(D)
\(\bar{A}+\bar{B}\)
Check Answer
Option D
Q.No:3 JAM-2016
The addition of two binary numbers \(1000.01\) and \(0001.11\) in binary representation is _____________ .
Check Answer
Ans 1010
Q.No:4 JAM-2017
If the Boolean function \(Z=PQ+PQR+PQRS+PQRST+PQRSTU\) , then \(\overline{Z}\) is
(A)
\(\bar{P}\bar{Q}+\bar{R}(\bar{S}+\overline{T+U})\)
(B)
\(\bar{P}\bar{Q}\)
(C)
\(\bar{P}+\bar{Q}\)
(D)
\(\bar{P}+\bar{Q}+\bar{R}+\bar{S}+\bar{T}+\bar{U}\)
Check Answer
Option C
Q.No:5 JAM-2017
Shown in the figure is a combination of logic gates. The output values at P and Q are correctly represented by which of the following?
(A)
0 0
(B)
1 1
(C)
0 1
(D)
1 0
Check Answer
Option C
Q.No:6 JAM-2018
The Boolean expression \((\overline{AB})(\bar{A}+ B)(A+\bar{B})\) can be simplified to
(A)
\(A+B\)
(B)
\(\bar{A}B\)
(C)
\(\overline{A+B}\)
(D)
\(AB\)
Check Answer
Option C
Q.No:7 JAM-2019
The output of following logic circuit can be simplified to
(A)
X + YZ
(B)
Y + XZ
(C)
XYZ
(D)
X + Y + Z
Check Answer
Option B
Q.No:8 JAM-2019
The decimal equivalent of the binary number 110.101 is ____________________ .
Check Answer
Ans 6.625
Q.No:9 JAM-2020
The Boolean function \(\overline{PQ}(\bar{P}+Q)(Q+\bar{Q})\) is equivalent to:
(A)
\(P\)
(B)
\(\bar{P}\)
(C)
\(\bar{P}Q\)
(D)
\(P\bar{Q}\)
Check Answer
Option B
Q.No:10 JAM-2020
Figure shows a circuit diagram comprising Boolean logic gates and the corresponding timing diagrams show the digital signals at various points in the circuit. Which of the following is/are true?
(A)
Points 3 and 7 are shorted.
(B)
The NOT gate on the right is faulty.
(C)
The AND gate is faulty and acts like a NOR gate.
(D)
The AND gate is faulty and acts like an OR gate.
Check Answer
Option D
Q.No:11 JAM-2021
For the given circuit, the output\(Y\) is
(A)
0
(B)
1
(C)
A
(D)
\(\bar{A}\)
Check Answer
Option D
Q.No:12 JAM-2021
For the Boolean expression
\(Y=A \hspace{0.5mm} B \hspace{0.5mm} C + \bar{A}\hspace{0.5mm} \bar{B}\hspace{0.5mm} C+ \bar{A}\hspace{0.5mm} B\hspace{0.5mm} \bar{C} + A\hspace{0.5mm} \bar{B}\hspace{0.5mm} \bar{C}\), the number of combinations for which the output \(Y=1\) is ____________________ .
Check Answer
Ans 4
Q.No:13 JAM-2022
The resultant of the binary subtraction \(1110101-0011110\) is
(A)
1001111
(B)
1010111
(C)
1010011
(D)
1010001
Check Answer
Option B
Q.No:14 JAM-2022
Consider a binary number with \(m\) digits, where \(m\) is an even number. This binary number has alternating 1’s and 0’s, with digit 1 in the highest place value. The decimal equivalent of this binary number is
(A)
\(2^m-1\)
(B)
\(\frac{(2^m-1)}{3}\)
(C)
\(\frac{(2^{m+1}-1)}{3}\)
(D)
\(\frac{2}{3}(2^m-1)\)
Check Answer
Option D
Q.No:15 JAM-2022
The Boolean expression \(Y=\bar{PQ} R +Q\bar{R}+\bar{P}QR +PQR\) simplifies to
(A)
\(\bar{P}R + Q\)
(B)
\(PR +\bar{Q}\)
(C)
\(P + R\)
(D)
\(Q + R\)
Check Answer
Option D
Q.No:16 JAM-2023
Two digital inputs A and B are given to the following circuit. For A = 1, B = 0, the values of X and Y are:
A) X = 0, Y = 0
B) X = 1, Y = 0
C) X = 0, Y = 1
D) X = 1, Y = 1
Check Answer
Option B
Q.No:17 JAM-2024
The sum of three binary numbers, \(10110.10\), \(11010.01\), and \(10101.11\), in decimal system is:
A) 70.75
B) 70.25
C) 70.50
D) 69.50
Check Answer
Option C
Q.No:18 JAM-2024
Consider the following logic circuit.
The output \(Y\) is LOW when:
A) \(A\) is HIGH and \(B\) is LOW
B) \(A\) is LOW and \(B\) is HIGH
C) Both \(A\) and \(B\) are LOW
D) Both \(A\) and \(B\) are HIGH
Check Answer
Option A
Q.No:19 JAM-2025
In the logic circuit shown below, for which of the following
combination(s) of inputs P and Q, the output Y will be 0?
A) P = 0, Q = 0
B) P = 0, Q = 1
C) P = 1, Q = 0
D) P = 1, Q = 1