GATE CSE 2025 Set 2 | GATE CSE Year Wise Previous Years Questions

GATE CSE 2025 Set 2

Numerical

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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 ____

GATE CSE 2025 Set 2

MCQ (More than One Correct Answer)

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

GATE CSE 2025 Set 2 Digital Logic - K Maps Question 3 English

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

$\bar{w} \bar{x} \bar{y} \bar{z}+w \bar{x} \bar{y} \bar{z}+\bar{w} \bar{x} y \bar{z}+w \bar{x} y \bar{z}+x z$

$\bar{w} \bar{x} \bar{y} \bar{z}+\bar{w} \bar{x} y \bar{z}+w \bar{x} y z+x z$

$\bar{w} \bar{x} \bar{y} \bar{z}+w \bar{x} \bar{y} \bar{z}+w \bar{x} \bar{y} z+x z$

$\bar{x} \bar{z}+x z$

GATE CSE 2025 Set 2

MCQ (More than One Correct Answer)

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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?

$4(X+Y)+Z=0$

$2 Y-Z=0$

$4 X+3 Z=0$

$X+Y+Z=0$

GATE CSE 2025 Set 2

MCQ (More than One Correct Answer)

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Which of the following Boolean algebraic equation(s) is/are CORRECT?

$\bar{A} B C+A \bar{B} \bar{C}+\bar{A} \bar{B} \bar{C}+A \bar{B} C+A B C=B C+\bar{B} \bar{C}+\bar{A} \bar{B}$

$A B+\bar{A} C+B C=A B+\bar{A} C$

$(A+C)(\bar{A}+B)=A B+\bar{A} C$

$\overline{(A+\bar{B}+\bar{D})(C+D)(\bar{A}+C+D)(A+B+\bar{D})}=\bar{A} D+\bar{C} \bar{D}$

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