Digital Circuits Questions and Answers – Sum of Products and Products of Sum

This set of Digital Electronics/Circuits Multiple Choice Questions & Answers (MCQs) focuses on “Sum of Products and Products of Sum”.

1. The logical sum of two or more logical product terms is called __________
a) SOP
b) POS
c) OR operation
d) NAND operation

2. The expression Y=AB+BC+AC shows the _________ operation.
a) EX-OR
b) SOP
c) POS
d) NOR

3. The expression Y=(A+B)(B+C)(C+A) shows the _________ operation.
a) AND
b) POS
c) SOP
d) NAND

4. A product term containing all K variables of the function in either complemented or uncomplemented form is called a __________
a) Minterm
b) Maxterm
c) Midterm
d) ∑ term

5. According to the property of minterm, how many combination will have value equal to 1 for K input variables?
a) 0
b) 1
c) 2
d) 3

6. The canonical sum of product form of the function y(A,B) = A + B is __________
a) AB + BB + A’A
b) AB + AB’ + A’B
c) BA + BA’ + A’B’
d) AB’ + A’B + A’B’

7. A variable on its own or in its complemented form is known as a __________
a) Product Term
b) Literal
c) Sum Term
d) Word

8. Maxterm is the sum of __________ of the corresponding Minterm with its literal complemented.
a) Terms
b) Words
c) Numbers
d) Nibble

9. Canonical form is a unique way of representing ____________
a) SOP
b) Minterm
c) Boolean Expressions
d) POS

10. There are _____________ Minterms for 3 variables (a, b, c).
a) 0
b) 2
c) 8
d) 1

11. _____________ expressions can be implemented using either (1) 2-level AND-OR logic circuits or (2) 2-level NAND logic circuits.
a) POS
b) Literals
c) SOP
d) POS

Answer: c
Explanation: SOP expressions can be implemented using either (1) 2-level AND-OR logic circuits or (2) 2-level NAND logic circuits.

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