1
GATE CSE 2002
Subjective
+5
-0
Express the function $$f( x, y, z)= xy'+ yz'$$ with only one complement operation and one or more $$AND/OR$$ operations. Draw the logic circuit implementing the expression obtained, using a single NOT gate and one or more $$AND/OR$$ gates.
2
GATE CSE 1996
Subjective
+5
-0
A logic network has two data inputs $$A$$ and $$B,$$ and two control inputs $${C_0}$$ and $${C_1}$$. It implements the function $$F$$ according to the following Table. GATE CSE 1996 Digital Logic - Boolean Algebra Question 23 English

Implement the circuit using one $$4$$ to $$1$$ Multiplexor, one $$2$$-input Exclusive $$OR$$ gate, one $$2$$-input $$AND$$ gate, one $$2$$-input $$OR$$ gate and one Inverter.

3
GATE CSE 1991
Subjective
+5
-0
Find the minimum sum of products form of the logic function
$$f\left( {A,B,C,D} \right) = \sum d \left( {3,11,12,14} \right)$$
Where $$m$$ and $$d$$ denote the minterms and don't cares respectively.
4
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.
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