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Published on: 25/09/2019
Boolean Algebra
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Questions + Answers key
Take MCQ Computer Science Test

1.
Give the logic function F=AB+A’B’+A’B. Assuming the complements are available. Simplify the function using De Morgan’s Theorem. Synthesize F by using NOR gates only.
2.
Simplify for the function F=π(0,3,7,8,9,12,13)
3.
There are 4 parallel railway tracks at a place. It is desired to design a logic circuit, which can give a signal when three or more trains pass together at any given time
i) Draw the truth table for the above problem
ii) Simplify the expression using K – Map
iii) Draw the circuit diagram
4.
Reduce the following Boolean Expression with the help of Karnnaugh Map F(U,V,W,Z)=S(0,1,2,3,12,13,14,15)
5.
Given the logic function F = xyz + yz’w + x’yz. Minimize it using K- Map.
6.
If F(a,b,c,d) = (0,1,3,4,5,7,8,9,11,12,13,15), obtain the simplified form using KMap
7.
If F(a,b,c,d)=(0,2,4,5,7,8,10,12,13,15), obtain the simplified form using K-Map
8.
Reduce the folowing Boolean expression ussing K-Map
F(U,V,W,Z)=\(\Sigma \)(0,1,2,3,4,10,11)
9.
Reduce the following Boolean Expression using K-Map:
F(A,B,C,D)= \(\Sigma \)(0,1,2,4,5,6,8,10)
10.
Reduce the following Boolean expression using K-Map:
F(A,B,C,D)=(0,1,2,4,5,8,9,10,11)
1.
2.
3.
4.
5.
6.
7.
8.
F=U'.V'+W.V"+U".W"Z'
9.
F(A,B,C,D)=A'C'+A'D'+B'D'
10.
F(A,B,C,D)= A’.C’+A.B’ + B’.D’
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