1. The logical sum of two or more logical product terms is called __________
a) SOP
b) POS
c) OR operation
d) NAND operation
Explanation: The logical sum of two or more logical product terms, is called SOP (i.e. sum of product). The logical product of two or more logical sum terms is called POS (i.e. product of sums).
2. The expression Y=AB+BC+AC shows the _________ operation.
a) EX-OR
b) SOP
c) POS
d) NOR
Explanation: The given expression has the operation product as well as the sum of that. So, it shows SOP operation. POS will be the product of sum terms.
3. The expression Y=(A+B)(B+C)(C+A) shows the _________ operation.
a) AND
b) POS
c) SOP
d) NAND
Explanation: The given expression has the operation sum as well as the product of that. So, it shows POS(product of sum) operation. SOP will be the sum of product terms.
4. 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
Explanation: The main property of a minterm is that it possesses the value 1 for only one combination of K input variables and the remaining will have the value 0.
5. 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’
Explanation: A + B = A.1 + B.1 = A(B + B’) + B(A + A’) = AB + AB’ + BA +BA’ = AB + AB’ + A’B = AB + AB’ + A’B.
6. A variable on its own or in its complemented form is known as a __________
a) Product Term
b) Literal
c) Sum Term
d) Word
Explanation: A literal is a single logic variable or its complement. For example — X, Y, A’, Z, X’ etc.
7. Maxterm is the sum of __________ of the corresponding Minterm with its literal complemented
a) Terms
b) Words
c) Numbers
d) Nibble
Explanation: Maxterm is the sum of terms of the corresponding Minterm with its literal complemented.
8. Canonical form is a unique way of representing ____________
a) SOP
b) Minterm
c) Boolean Expressions
d) POS
Explanation: Boolean Expressions are represented through a canonical form. An example of canonical form is A’B’C’ + AB’C + ABC’.
9. There are _____________ Minterms for 3 variables (a, b, c).
a) 0
b) 2
c) 8
d) 1
Explanation: Minterm is given by 2n. So, 23 = 8 minterms are required
10. _____________ 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
Explanation: SOP expressions can be implemented using either (1) 2-level AND-OR logic circuits or (2) 2-level NAND logic circuits.