1
GATE CSE 2025 Set 2
MCQ (More than One Correct Answer)
+1
-0

Consider the following logic circuit diagram.

GATE CSE 2025 Set 2 Digital Logic - Combinational Circuits Question 1 English

Which is/are the CORRECT option(s) for the output function?

A
$\overline{X Y}$
B
$\bar{X}+\bar{Y}+X \bar{Y}$
C
$\overline{X Y}+\bar{X}+X \bar{Y}$
D
$X+\bar{Y}$
2
GATE CSE 2025 Set 2
Numerical
+1
-0

The following two signed 2's complement numbers (multiplicand M and multiplier Q ) are being multiplied using Booth's algorithm :

M : 1100110111101101 and Q : 1010010010101010

The total number of addition and subtraction operations to be performed is ________ (Answer in integer)

Your input ____
3
GATE CSE 2025 Set 2
Numerical
+1
-0

In a 4-bit ripple counter, if the period of the waveform at the last flip-flop is 64 microseconds, then the frequency of the ripple counter in kHz is _________. (Answer in integer)

Your input ____
4
GATE CSE 2025 Set 2
MCQ (More than One Correct Answer)
+2
-0

Given the Following Karnaugh Map for a Boolean function $F(w,x,y,z)$:

GATE CSE 2025 Set 2 Digital Logic - K Maps Question 1 English

Which one or more of the following Boolean expression(s) represent(s) F?

A
$\bar{w} \bar{x} \bar{y} \bar{z}+w \bar{x} \bar{y} \bar{z}+\bar{w} \bar{x} y \bar{z}+w \bar{x} y \bar{z}+x z$
B
$\bar{w} \bar{x} \bar{y} \bar{z}+\bar{w} \bar{x} y \bar{z}+w \bar{x} y z+x z$
C
$\bar{w} \bar{x} \bar{y} \bar{z}+w \bar{x} \bar{y} \bar{z}+w \bar{x} \bar{y} z+x z$
D
$\bar{x} \bar{z}+x z$
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