1
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
4-bit 2’s complement representation of a decimal number is 1000. The number is
A
+8
B
$$0$$
C
-7
D
-8
2
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
If the input to the digital circuit (in the figure) consisting of a cascade of 20 XOR-gates is X then the output Y is equal to

GATE ECE 2002 Digital Circuits - Logic Gates Question 24 English
A
O
B
1
C
$$\overline X $$
D
X
3
GATE ECE 2002
MCQ (Single Correct Answer)
+2
-0.6
The gates G1 and G2 in figure have propagation delays of 10nsec and 20nsec respectively. If the input Vi makes an abrupt change from logic 0 to 1 at time t = t0, then the output waveform V0 is

GATE ECE 2002 Digital Circuits - Logic Gates Question 12 English
A
GATE ECE 2002 Digital Circuits - Logic Gates Question 12 English Option 1
B
GATE ECE 2002 Digital Circuits - Logic Gates Question 12 English Option 2
C
GATE ECE 2002 Digital Circuits - Logic Gates Question 12 English Option 3
D
GATE ECE 2002 Digital Circuits - Logic Gates Question 12 English Option 4
4
GATE ECE 2002
Subjective
+5
-0
The inputs to a digital circuit shown in Figure 9(a) are the external signals A, B and C. GATE ECE 2002 Digital Circuits - Combinational Circuits Question 7 English ( $$\overline A \,\overline B \,and\,\overline {C\,} $$ and are not available). The +5V power supply (logic 1) and the ground (logic 0) are also available. The output of the circuit is X = $$\overline A \,B + \,\overline A \,\overline B \,\,\overline {C\,} $$
(a) Write down the output function in its canonical SOP and POS forms.
(b) Implement the circuit using only two 2:1 multiplexers shown in the Figure where S is the data-select line, $${D_0}\,$$ and $${D_1}\,$$ are the input data lines and Y is the output lines. The function table for the multiplexer is given in table
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