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

$$\small{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline \textbf{Year}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum} \\\hline\textbf{1 Mark Count}&4&2&3&2&3&3&2&2.8&4 \\\hline\textbf{2 Marks Count}&2&2&0&4&2&0&0&1.7&4 \\\hline\textbf{Total Marks}&8&6&3&10&7&3&\bf{3}&\bf{6.2}&\bf{10}\\\hline \end{array}}}$$

# Recent questions in Digital Logic

1
Which of the following logic expression is incorrect? $1\oplus0=1$ $1\oplus1\oplus0=1$ $1\oplus1\oplus1=1$ $1\oplus1=0$
1 vote
2
1 vote
3
The output of a sequential circuit depends on present inputs only past inputs only both present and past inputs present outputs only
1 vote
4
In a ripple counter using edge triggered $JK$ flip-flops, the pulse input is applied to the clock input of all flip-flops clock input of one flip-flop $J$ and $K$ inputs of all flip-flops $J$ and $K$ inputs of one flip flop
1 vote
5
A decimal number has $30$ digits. Approximately, how many digits would the binary representation have? $30$ $60$ $90$ $120$
1 vote
6
How many RAM chips of size $(256K \times 1 \text{ bit})$ are required to build $1$M Byte memory? $8$ $10$ $24$ $32$
7
The Circuit is equivalent to: EX-OR Gate NAND Gate OR Gate AND Gate
1 vote
8
How many inputs are required in Full Adder Circuit? $2$ $3$ More than two inputs None of the above
1 vote
9
What will be the final output of D flip-Flop if the input string is $0010011100$? $1$ $0$ Don’t Care None of the above
1 vote
10
Which will be the equation of simplification of the given K-map? $AB' + B'CD' + A'B'C'$ $AB' + A'B'D' + A'B'C'$ $B'D' + AB' + B'C'$ $B'D' + A'B'C' + AB'$
1 vote
11
What is $2$'s complement of $(101)​_3​$? $(010)_3$ $(011)_3$ $(121)_3$ $(121)_2$
1 vote
12
How many Addition and Subtraction are required if you perform multiplication of $5$ (Multiplicand) and $-30$(Multiplier) using Booth Algorithm? $2,1$ $1,2$ $1,1$ $2,2$
1 vote
13
The Decimal equivalent of the Hexadecimal number $(AC7B)​_{16​}$ is: $32564$ $44155$ $50215$ $43562$
14
The Circuit is equivalent to: $OR$ Gate $NOR$ Gate $AND$ Gate $EX-OR$ Gate
1 vote
15
What will be the Excess-$3$ code for $1001$? $1001$ $1010$ $1011$ $1100$
1 vote
16
What will be the final output of D Flip-Flop, if the input string is $11010011$? $1$ $0$ Don’t Care None of the above
1 vote
17
What will be the equation of the given K-map? $A’B’D’+C’D+AB’C’$ $B’CD’+AB’C’+A’C’$ $B’D’+C’D$ $C’D+B’CD’$
$(00+01+10)(0+1)^*$ represents Strings not starting with $11$ Strings of odd length Strings starting with $00$ Strings of even length
The Decimal equivalent of the Hexadecimal number $(A09D)_{16}$ is $31845$ $41117$ $41052$ $32546$