1
GATE ECE 2005
MCQ (Single Correct Answer)
+1
-0.3
The Boolean expression for the truth table shown is
A B C D
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 1
1 0 0 0
1 0 1 0
1 1 0 1
1 1 1 0
A
B(A+C)($$\overline A + \overline C )$$
B
$$B\left( {A + \overline C } \right)\left( {\overline A + C} \right)$$
C
$$\overline B $$(A+$$\overline C $$)($$\overline A $$+C)
D
$$\overline B $$(A+C)(($$\overline A + \overline C )$$
2
GATE ECE 2003
MCQ (Single Correct Answer)
+1
-0.3
The number of distinct Boolean expressions of 4 variables is
A
16
B
256
C
1024
D
65536
3
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
The Logical expression $$Y = A + \overline A B$$ is equivalent to
A
y = AB
B
y = $$\overline A $$ B
C
y = $$\overline A $$ + B
D
y = A + B
4
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
Two 2' s complement numbers having sign bits x and y added and the sign bit of the result is z. Then, the occurrence of overflow is indicated by the Boolean function.
A
xyz
B
$$\overline x $$ $$\overline y $$ $$\overline z $$
C
$$\overline x $$ $$\overline y $$ z + x y $$\overline z $$
D
xy + yz + zx
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