1
GATE ECE 2004
MCQ (Single Correct Answer)
+1
-0.3
The range of signed decimal numbers that can be represented by 6-bite 1’s complement number is
A
-31 to +31
B
-63 to +64
C
-64 to +63
D
-32 to +31
2
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
11001, 1001 and 111001 correspond to the 2’s complement representation of which one of the following sets of number?
A
25, 9 and 57 respectively
B
-6, -6 and –6 respectively
C
-7, -7 and –7 respectively
D
-25, -9 and –57 respectively
3
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
The Boolean expression AC + B$$\overline C $$ is equivalent to
A
$$\overline A \,C + B\overline C + AC$$
B
$$\overline B C\, + AC + B\overline C + \overline A C\overline B $$
C
AC+$$B\overline C + \overline B C + ABC$$
D
$$\overline A \,B\,\overline C + A\,B\,\overline C + A\overline {\,B} \,C$$
4
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
A Boolean function 'f' of two variables x and y is defined as follows: f(0,0)=f(0,1)=f(1,1)=1;f(1,0)=0 Assuming complements of x and y are not available, a minimum cost solution for realizing F using only 2-input NOR gates and 2-input OR gates (each having unit cost) would have a total cost
A
1 unit
B
4 unit
C
3 unit
D
2 unit
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