1
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67

Consider a 3-bit counter, designed using T flip-flop, as shown below:

GATE CSE 2021 Set 1 Digital Logic - Sequential Circuits Question 2 English

Assuming the initial state of the counter given by PQR as 000, what are the next three states?

A
001, 010, 000
B
001, 010, 111
C
011, 101, 111
D
011, 101, 000
2
GATE CSE 2021 Set 1
Numerical
+2
-0.67

Consider the following representation of a number in IEEE 754 single-precision floating point format with a bias of 127.

S: 1 E:   10000001    F : 11110000000000000000000

Here S, E and F denote the sign, exponent and fraction components of the floating point representation.

The decimal value corresponding to the above representation (rounded to 2 decimal places) is ______

Your input ____
3
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67

Let p and q be two propositions. Consider the following two formulae in propositional logic.

S1 : (¬p ∧ (p ∨ q)) → q

S2 : q → (¬p ∧ (p ∨ q))

Which one of the following choices is correct?

A
Neither S1 nor S2 is a tautology.
B
S1 is not a tautology but S2 is a tautology.
C
Both S1 and S2 are tautologies.
D
S1 is a tautology but S2 is not a tautology.
4
GATE CSE 2021 Set 1
Numerical
+2
-0.67

There are 6 jobs with distinct difficulty levels, and 3 computers with distinct processing speeds. Each job is assigned to a computer such that:

- The fastest computer gets the toughest job and the slowest computer gets the easiest job.

- Every computer gets at least one job.

The number of ways in which this can be done is ______

Your input ____
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