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Boolean algebra. Combinational and sequential circuits. Minimization. Number representations and computer arithmetic (fixed and floating point)

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 1&2&3&2&4&2&3&2&3&3&1&2.5&4
\\\hline\textbf{2 Marks Count} & 2&2&2&1&2&2&0&4&2&0&0&1.7&4
\\\hline\textbf{Total Marks} & 5&6&7&4&8&6&3&10&7&3&\bf{3}&\bf{5.9}&\bf{10}\\\hline
\end{array}}}$$

Recent questions in Digital Logic

2 votes
2 answers
1951
A number system with base 99 will have X different digits and range from 0 to Y. then appropriate value of X and Y is;a) 100 and 9b) 99 and 98c) 98 and 99d) 99 and 100
2 votes
3 answers
1952
If only half adder used for addition then the number of half adders required to add two 'm' bit numbers is;A) 2m-1B) 2m-1C) 2m+1D)2m
2 votes
0 answers
1953
which one is the suitable option??
1 votes
1 answer
1954
For me one 4-input nand gate could be implemented by five 2-input nand gates is this correct or can we implement using less number of gates
2 votes
0 answers
1955
What is the output function for five bit 2's complementer??
1 votes
2 answers
1956
what is booth recoded multiplier value for this binary number ?001110
3 votes
2 answers
1957
Which of the following removes hazard from xy + zx'?a) xy + zx'b) xy + zx' + wyzc) xy + zx' + yzd) xy + zx' + wz
3 votes
2 answers
1958
With the use of maps , find the simplest sum of products form of the function F = fg wheref = abc' + c'd + a'cd'+ b'cd'g = (a + b +c' + d')(b' + c' + d)(a'+ c + d')
1 votes
0 answers
1959
Derive circuit for a three bit parity generator and four bit parity checker using an odd parity bit.
1 votes
0 answers
1960
1 votes
0 answers
1961
Based on Input output Shift register is 4 types:1: SISO2: SIPO3: PISO4: PIPO what is the drawback of various types mentioned above???my doubt is why we use each of them?(...
1 votes
1 answer
1962
To implement half subtractor min no of 2x1 mux required is what?
3 votes
2 answers
1963
Express the complement of the following functions in sum of minterms form:a) F(a,b,c,d) = Σ (3,5,9,11,15)b)F(x,y,z) = Π (2,4,5,7)
1 votes
2 answers
1964
The solution to the quadratic equationx^2-11x+22=0 are x=3 and x=6. What is the base of the numbers?
1 votes
1 answer
1965
Convert into ASCII code.a)8723
1 votes
1 answer
1966
what is the main reason behind using kmap???it's used to reduced boolean expression or something else??
1 votes
0 answers
1968
2 votes
1 answer
1969
how we will find 1's complement of -4 is it possible to find it
1 votes
1 answer
1970