1
GATE CSE 2024 Set 1
Numerical
+2
-0.66

Consider a digital logic circuit consisting of three 2-to-1 multiplexers M1, M2, and M3 as shown below. X1 and X2 are inputs of M1. X3 and X4 are inputs of M2. A, B, and C are select lines of M1, M2, and M3, respectively.

For an instance of inputs X1=1, X2=1, X3=0, and X4=0, the number of combinations of A, B, C that give the output Y=1 is ______________

2
GATE CSE 2016 Set 1
+2
-0.6
Consider the two cascaded $$2$$-to-$$1$$ multiplexers as shown in the figure.

The minimal sum of products form of the output $$X$$ is

A
$$\overline P \overline Q + PQR$$
B
$$\overline P Q + QR$$
C
$$PQ + \overline P \overline Q R$$
D
$$\overline Q \overline R + PQR$$
3
GATE CSE 2014 Set 1
+2
-0.6
Consider the $$4$$-to-$$1$$ multiplexer with two select lines $${S_1}$$ and $${S_0}$$ given below

The minimal sum-of-products form of the Boolean expression for the output $$F$$ of the multiplexer is

A
$$\overline P Q + Q\overline R + P\overline Q R$$
B
$$\overline P Q + \overline P Q\overline R + PQ\overline R + P\overline Q R$$
C
$$\overline P QR + \overline P Q\overline R + Q\overline R + P\overline Q R$$
D
$$PQ\overline R$$
4
GATE CSE 2007
+2
-0.6
Suppose only one multiplexer and one inverter are allowed to be used to implement any Boolean function of $$n$$ variables. What is the minimum size of the multiplexer needed?
A
$${2^n}$$ line to $$1$$ line
B
$${2^{n + 1}}$$ line to $$1$$ line
C
$${2^{n - 1}}$$ line to $$1$$ line
D
$${2^{n - 2}}$$ line to $$1$$ line
GATE CSE Subjects
EXAM MAP
Medical
NEET