Test Series - computer fundamental

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Test Number 23/95

Q: The terms in SOP are called ___________
A. max terms
B. min terms
C. mid terms
D. sum terms
Solution: The SOP is the sum of products. It consists of min terms often called the product terms.
Similarly, POS consists of max terms.
Q: A sum of products expression is a product term (min term) or several min terms ANDed together.
A. True
B. False
C. none
D. 0
Solution: The statement is partially correct.
A sum of products expression is a product term (min term) or several min terms OR ed(i.e. added) together.
Q: Which of the following is an incorrect SOP expression?
A. x+x.y
B. (x+y)(x+z)
C. x
D. x+y
Solution: The second expression is incorrect because it consists of two maxterms ANDed together.
This makes it a POS or the product of sum expression.
Other options are valid SOP expressions.
Q: The corresponding min term when x=0, y=0 and z=1.
A. x.y.z’
B. X’+Y’+Z
C. X+Y+Z’
D. x’.y’.z
Solution: The min term is obtained by taking the complement of the zero values and taking the term with value 1 as it is.
Here, x=0,y=0 and z=1, then the min term is x’y’z.
Q: LSI stands for ___________
A. Large Scale Integration
B. Large System Integration
C. Large Symbolic Instruction
D. Large Symbolic Integration
Solution: It stands for large scale integration. This is the abstraction level of the integrated circuits.
It can also be small scale, medium, large or very large scale integration.
Q: Which operation is shown in the following expression: (X+Y’).(X+Z).(Z’+Y’)
A. NOR
B. ExOR
C. SOP
D. POS
Solution: The expression comprises of max terms.
Also, the terms are ANDed together, therefore it is a POS term.
Q: The number of min terms for an expression comprising of 3 variables?
A. 8
B. 3
C. 0
D. 1
Solution: If any expression comprises of n variables, its corresponding min terms are given by 2n.
Here, n=3 since there are 3 variables therefore, min terms=23=8.
Q: The number of cells in a K-map with n-variables.
A. 2n
B. n2
C. 2n
D. n
Solution: K-map is nothing but Karnaugh map.
SOP and POS expressions can be simplified using the K-map.
The number of cells in case of n-variables=2n.
Q: The output of AND gates in the SOP expression is connected using the ________ gate.
A. XOR
B. NOR
C. AND
D. OR
Solution: Since the product terms or the min terms are added in an SOP expression.
Therefore, the OR gate is used to connect the AND gates.
Q: The expression A+BC is the reduced form of ______________
A. AB+BC
B. (A+B)(A+C)
C. (A+C)B
D. (A+B)C
Solution: The second option is correct.
It can simplified as follows: (A+B)(A+C)
=AA+AC+AB+BC
=A+AC+AB+BC
=A(1+C)+AB+BC
=A+AB+BC
=A(1+B)+BC
=A+BC.

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