1
GATE CSE 1990
Numerical
+2
-0
Consider the number given by the decimal expression.
$${16^3} \times 9 + {16^2} \times 7 + 16 \times 5 + 3$$

The number of $$1's$$ in the unsigned binary representation of the number is _______.

2
GATE CSE 1990
Subjective
+5
-0
Show with the help of a block diagram represent Boolean function:
$$f=AB+BC+CA$$ can be realized using only $$4:1$$ multiplexer.
3
GATE CSE 1990
Subjective
+5
-0
Find the minimum product of sums of the following expression
$$f = ABC + \overline A \,\overline B \,\overline C .$$
4
GATE CSE 1990
MCQ (Single Correct Answer)
+2
-0.6
Two $$NAND$$ gates having open collector outputs are tied together as shown in fig. The logic function $$Y,$$ implemented by the circuit is.
A
$$Y = A\overline {BC} + \overline {DE}$$
B
$$Y = ABC + DE$$
C
$$Y = \overline {ABC} .\overline {DE}$$
D
$$Y = ABC\,.\,DE$$
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