1
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 ____
2
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 ____
3
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
$\bar{x} \bar{z}+x z$
4
GATE CSE 2025 Set 2
MCQ (More than One Correct Answer)
+2
-0

Three floating point numbers $X, Y$, and $Z$ are stored in three registers $R_X, R_Y$, and $R_Z$, respectively in IEEE 754 single precision format as given below in hexadecimal:

$$R_X=0 \times C 1100000, R_Y=0 \times 40 C 00000, \text { and } R_Z=0 \times 41400000$$

Which of the following option(s) is/are CORRECT?

A
$4(X+Y)+Z=0$
B
$2 Y-Z=0$
C
$4 X+3 Z=0$
D
$X+Y+Z=0$
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