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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

1 votes
2 answers
2961
Digital logic
A number system uses 20 as the radix. The excess code that is necessary for its equivalent binary coded representation is ?
A number system uses 20 as the radix. The excess code that is necessary for its equivalent binary coded representation is ?
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4 votes
3 answers
2962
How to solve this boolean Exp?
Boolean Expression is (A+B).(B+C) Please give a detailed explanation.
Boolean Expression is (A+B).(B+C)Please give a detailed explanation.
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1 votes
2 answers
2963
max no of boolean expression that can be formed for the function f(x,y,z) satisfying the relation f(x',y,z') = f(x,yz)
Consider the following sequence of micro-operations. MBR ← PC MAR ← X PC ← Y Memory ← MBRWhich one of the following is a possible operation performed by this seq...
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0 votes
3 answers
2964
Find the minterms of the product of two functions
Given f=f1.f2,  where f1=∑m(0,1,5)+d(2,3,7) and f2=∑m(1,2,4,5)+d(0,7) f=??
Given f=f1.f2,  where f1=∑m(0,1,5)+d(2,3,7)and f2=∑m(1,2,4,5)+d(0,7)f=??
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0 votes
1 answer
2965
Truth Table for 4 variables?
Someone please tell me the truth table for 4 variables, say (A,B,C,D). What all 16 possible input combinations will be? Thank you in advance.
Someone please tell me the truth table for 4 variables, say (A,B,C,D). What all 16 possible input combinations will be? Thank you in advance.
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0 votes
2 answers
2967
What happens when the input of a flip flop changes exactly at the time of the clock pulse transition?
Will the output be as per previous values or new values?
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0 votes
0 answers
2968
the noninverting buffer have delay of 2 ns and 4ns both xor and all wire have zero delay how many transition
Here, the value of p should be 24, not 23 as taken...also no reason is given for this assumption by the author (Navathe ). Can anyone explain this ?
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3 votes
2 answers
2969
How do I solve this Boolean expression?
How do I solve this Boolean expression? $(A+B) \cdot (B+C) \cdot (C+A)$ Kindly write the step wise explanation with properties used.
How do I solve this Boolean expression?$$(A+B) \cdot (B+C) \cdot (C+A)$$Kindly write the step wise explanation with properties used.
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0 votes
2 answers
2970
If the initial stage of mod-11 counter is 0110, then what will be the counting sequence for next 24 clock pulses?
If the initial stage of mod-11 counter is 0110, then what will be the counting sequence for next 24 clock pulses?What will be counting sequence for the next 17 clock puls...
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24 votes
4 answers
2971
GATE1992-04-c
Design a $3$-bit counter using D-flip flops such that not more than one flip-flop changes state between any two consecutive states.
Design a $3$-bit counter using D-flip flops such that not more than one flip-flop changes state between any two consecutive states.
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6 votes
2 answers
2973
ISRO2008-48
Which of the following is termed as minimum error code ? Binary code Gray code Excess-$3$ code Octal code
Which of the following is termed as minimum error code ?Binary codeGray codeExcess-$3$ codeOctal code
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19 votes
2 answers
2975
GATE CSE 1993 | Question: 6.2
If the state machine described in figure should have a stable state, the restriction on the inputs is given by $a.b=1$ $a+b=1$ $\bar{a} + \bar{b} =0$ $\overline{a.b}=1$ $\overline{a+b} =1$
If the state machine described in figure should have a stable state, the restriction on the inputs is given by$a.b=1$$a+b=1$$\bar{a} + \bar{b} =0$$\overline{a.b}=1$$\over...
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7 votes
1 answer
2976
If a 3 bit multiplicand is multiplied to a 2 bit multiplier, minimum number of two input AND, XOR, and OR gates, needed?
If a 3 bit multiplicand is multiplied to a 2 bit multiplier, minimum number of two input AND, XOR, and OR gates, needed in the design are respectively?A)    16,14,1B) �...
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1 votes
1 answer
2977
What will be the value of f ?
Q).Consider the circuit shown below of 2:1 MUX is given by the function $g=ac+b\overline{c}$
Q).Consider the circuit shown below of 2:1 MUX is given by the function $g=ac+b\overline{c}$
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0 votes
3 answers
2978
max clock frequency in ripple counter
A 3 bit ripple counter uses j k flip flops.if the propagation delay of each flipflop is 50 nsec,then the maximum clock frequency that can be used in megahertz... please explain the soln
A 3 bit ripple counter uses j k flip flops.if the propagation delay of each flipflop is 50 nsec,then the maximum clock frequency that can be used in megahertz... please e...
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1 votes
2 answers
2979
minimum 4*16 line decoders required to realize 8*256 line decoders are
i m getting 16 but the answer is 17 .please explain
i m getting 16 but the answer is 17 .please explain
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6 votes
3 answers
2980
ISRO2014-8
In the standard $\text{IEEE}$ $754$ single precision floating point representation, there is $1$ bit for sign, $23$ bits for fraction and $8$ bits for exponent. What is the precision in terms of the number of decimal digits? $5$ $6$ $7$ $8$
In the standard $\text{IEEE}$ $754$ single precision floating point representation, there is $1$ bit for sign, $23$ bits for fraction and $8$ bits for exponent. What is t...
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