1
GATE ECE 1993
Subjective
+10
-0
Signals A,B,C,D and $$\overline D $$ are available. Using a single 8 - to - 1 multiplexer and no other gate, implement the Boolean function.

$$f(A,B,C,D) = B.C + A.B.\bar D + \bar A.\bar C.\bar D$$
2
GATE ECE 1993
MCQ (Single Correct Answer)
+1
-0.3
2’s complement representation of a 16-bit number (one sign bit and 15 magnitude bits) is FFFI. Its magnitude in decimal representation is
A
$$0$$
B
$$1$$
C
$$32, 767$$
D
$$65,535$$
3
GATE ECE 1993
MCQ (More than One Correct Answer)
+1
-0
Boolean expression for the output of XNOR (equivalence) logic gate with inputs A and B is
A
$$A\overline B + \overline A B$$
B
$$\overline A \,\overline B + AB$$
C
$$(\overline A + B)(A + \overline B )$$
D
$$(\overline A \, + \overline B )(A + B)$$
4
GATE ECE 1993
MCQ (Single Correct Answer)
+1
-0.3
For the logic circuit shown in Figure, the output is equal to GATE ECE 1993 Digital Circuits - Logic Gates Question 37 English
A
$$\overline A \,.\overline B .\overline C $$
B
$$\overline A \, + \overline B + \overline C $$
C
$$\overline {AB} + \overline {BC} + \overline A + \overline C $$
D
$$\overline {AB} + \overline {BC} $$