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

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

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Recent questions in Digital Logic

7 votes
2 answers
2741
ISRO2007-03
The circuit shown in the given figure is a full adder full subtracter shift register decade counter
The circuit shown in the given figure is afull adderfull subtractershift registerdecade counter
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6 votes
2 answers
2742
ISRO2007-02
The circuit shown in the following figure realizes the function. $(\overline{A+B}+C)(\overline{D}\;\overline{E})$ $(\overline{A+B}+C)(D\overline{E})$ $(A+ \overline{B+C})(\overline{D}E)$ $(A+ B+\overline{C})(\overline{D} \;\overline{E})$
The circuit shown in the following figure realizes the function.$(\overline{A+B}+C)(\overline{D}\;\overline{E})$$(\overline{A+B}+C)(D\overline{E})$$(A+ \overline{B+C})(\o...
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10 votes
4 answers
2743
ISRO2007-01
The Boolean expression $\text{Y = (A}+\overline{\text{B}}+\overline{\text{A}}\text{B})\overline{\text{C}}$ is given by $\text{A}\overline{\text{C}}$ $\text{B}\overline{\text{C}}$ $\overline{\text{C}}$ $\text{AB}$
The Boolean expression $\text{Y = (A}+\overline{\text{B}}+\overline{\text{A}}\text{B})\overline{\text{C}}$ is given by$\text{A}\overline{\text{C}}$$\text{B}\overline{\tex...
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6 votes
1 answer
2748
ISRO2009-19
The switching expression corresponding to $f(\text{A, B, C, D}) = \Sigma(1, 4, 5, 9, 11, 12)$ is BC'D' + A'C'D + AB'D ABC' + ACD + B'C'D ACD' + A'BC' + AC'D' A'BD + ACD' + BCD'
The switching expression corresponding to $f(\text{A, B, C, D}) = \Sigma(1, 4, 5, 9, 11, 12)$ isBC'D' + A'C'D + AB'DABC' + ACD + B'C'DACD' + A'BC' + AC'D'A'BD + ACD' + BC...
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2 votes
2 answers
2756
flip flops
Which of the following flip-flops is free from race condition ? (A) T flip-flop (B) SR flip-flop (C) Master-slave JK flip-flop (D) None of the above
Which of the following flip-flops is free from race condition ?(A) T flip-flop(B) SR flip-flop(C) Master-slave JK flip-flop(D) None of the above
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0 votes
1 answer
2757
BCD adder
the bcd adder to add two decimal digits needs minimum of a) 6 full adder, 2 half adder b) 5 full adder, 3 half adder c) 4 full adder, 3 half adder d) 5 full adder, 2 half adder
the bcd adder to add two decimal digits needs minimum of a) 6 full adder, 2 half adder b) 5 full adder, 3 half adder c) 4 full adder, 3 half adder d) 5 full adder, 2 half...
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0 votes
0 answers
2759
sequential logic circuits
You are given a free running clock with a duty cycle of 50% and a digital waveform f which changes only at the negative edge of the clock. Which one of the following circuits (using clocked D flip-flops) will delay the phase of f by 180°?
You are given a free running clock with a duty cycle of 50% and a digital waveform f which changes only at the negative edge of the clock. Which one of the following circ...
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9 votes
1 answer
2760
ISRO2015-6
The code which uses $7$ bits to represent a character is : ASCII BCD EBCDIC Gray
The code which uses $7$ bits to represent a character is :ASCIIBCDEBCDICGray
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