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#### ISC practice test

PART I

Question 1
1. Define minterms and maxterms for the following expression in form of truth table
a. A’.B’.C+A.B’.C’+A.B’.C’+A.B.C 
b. Reduce the above expression with help of K-map 
c. Draw logic gate diagram for the derived expression using  NAND Gate
Question 2
2. Reduce the following using K-Map 
a. F(X,Y)=∑(X.Y+X’.Y’+X.Y’)
b. F(A,B)=(A’+B).(A+B’).(A’+B’)
c. F(A,B,C,D)= ∑(0,4,8,12)
d. F(X,Y,Z)=π(0,1,2,5)

PART II
Attempt any one question

Question 3
3. Obtain truth table for the following expression 
A.B.C’+A’.B+C’
4. Explain the principal of duality. Also explain the various steps involved in calculating it 
5. Define what is K-map 

Question 3
6. Find the compliment of F(m.n,o)=m’.n.o’+m’.n’.o 
7. Write the product of sum of the Boolean function, F(A,B,C) whose output is 0 only when,
A=1,B=0,C=0 
A=0,B=1,C=0
A=0,B=0,C=1
A=1,B=1,C=1
8. Simplify a.b+a’.c+b.c using law of Boolean algebra 

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