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Recent questions tagged gatecse-2021-set1
32
votes
2
answers
61
GATE CSE 2021 Set 1 | Question: 51
In a pushdown automaton $P=(Q, \Sigma, \Gamma, \delta, q_0, F)$, a transition of the form, where $p,q \in Q$, $a \in \Sigma \cup \{ \epsilon \}$, and $X,Y \in \Gamma \cup \{ \epsilon \}$ ... $\Gamma = \{ \#, A\}$. The number of strings of length $100$ accepted by the above pushdown automaton is ___________
Arjun
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in
Theory of Computation
Feb 18, 2021
by
Arjun
10.5k
views
gatecse-2021-set1
theory-of-computation
pushdown-automata
numerical-answers
2-marks
16
votes
4
answers
62
GATE CSE 2021 Set 1 | Question: 52
Consider the following matrix.$\begin{pmatrix} 0 & 1 & 1 & 1\\ 1& 0& 1 & 1\\ 1& 1 & 0 & 1 \\1 & 1 & 1 & 0 \end{pmatrix}$The largest eigenvalue of the above matrix is __________.
Arjun
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in
Linear Algebra
Feb 18, 2021
by
Arjun
15.3k
views
gatecse-2021-set1
linear-algebra
matrix
eigen-value
numerical-answers
2-marks
7
votes
2
answers
63
GATE CSE 2021 Set 1 | Question: 53
A five-stage pipeline has stage delays of $150, 120, 150, 160$ and $140$ nanoseconds. The registers that are used between the pipeline stages have a delay of $5$ nanoseconds each. The total time to execute $100$ independent instructions on this pipeline, assuming there are no pipeline stalls, is _______ nanoseconds.
Arjun
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in
CO and Architecture
Feb 18, 2021
by
Arjun
6.0k
views
gatecse-2021-set1
co-and-architecture
pipelining
numerical-answers
2-marks
9
votes
3
answers
64
GATE CSE 2021 Set 1 | Question: 55
Consider the following instruction sequence where registers $\text{R1}, \text{R2}$ and $\text{R3}$ are general purpose and $\text{MEMORY[X]}$ denotes the content at the memory location $\text{X}.$ ... . Assume that the memory is byte addressable. After the execution of the program, the content of memory location $3010$ is ____________
Arjun
asked
in
CO and Architecture
Feb 18, 2021
by
Arjun
8.6k
views
gatecse-2021-set1
co-and-architecture
machine-instruction
numerical-answers
2-marks
21
votes
2
answers
65
GATE CSE 2021 Set 1 | Question: 54
A sender $(\textsf{S})$ transmits a signal, which can be one of the two kinds: $H$ and $L$ with probabilities $0.1$ and $0.9$ respectively, to a receiver $(\textsf{R})$. In the graph below, the weight of edge $(u,v)$ is the ... $0.7$. If the received signal is $H,$ the probability that the transmitted signal was $H$ (rounded to $2$ decimal places) is __________.
Arjun
asked
in
Probability
Feb 18, 2021
by
Arjun
5.5k
views
gatecse-2021-set1
probability
conditional-probability
numerical-answers
2-marks
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