Digital Principles and System Design MCQs with answers Page - 11

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Q. In the boolean function w=f(X,Y,Z), what is the RHS referred to as

• (A) right hand side
• (B) expression
• (C) literals
• (D) boolean

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Correct answer - Option (B)

Explanation:

the rhs is commonly referred to as the expression. the symbols x, y and z are commonly referred to as the literals of the function.

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Q. The general form for calculating the number of rows in a truth table is

• (A) 2n
• (B) 2n+1
• (C) 2n
• (D) 2n+1

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Correct answer - Option (C)

Explanation:

the general form for the calculation of rows in a truth table is 2n . here, n= number of literals in the function.

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Q. The number of literals in the expression F=X.Y’ + Z are

• (A) 4
• (B) 3
• (C) 2
• (D) 1

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Correct answer - Option (B)

Explanation:

literals the generally the number of variables used in any boolean expression. here, since there are 3 variables x, y and z, therefore the answer is 3.

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Q. The complement term for X’.Y’.Z + X.Y will be

• (A) xyz’+x’y’
• (B) (x+y+z’)(x’+y’)
• (C) (x+y+z’)(x’+y)
• (D) (x+y+z’)(x’+y)

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Correct answer - Option (B)

Explanation:

the or and and operators are interchanged. the complement terms are reduced to normal terms and the result is obtained.

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Q. What is the complement of X’Y’Z?

• (A) x+yz
• (B) x’+y+’z’
• (C) x+y+z’
• (D) xyz’

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Correct answer - Option (C)

Explanation:

the complement is obtained by converting the complement terms to normal terms and vice versa. also, the or and and operators are

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Q. The minterm of any expression is denoted by

• (A) mt
• (B) m
• (C) m
• (D) min

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Correct answer - Option (B)

Explanation:

the variables forming an and term is generally the minterm. it is denoted by m. (lower case letter).

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Q. The min term when X=Y=Z=0 is

• (A) x’+y’+z’
• (B) xyz
• (C) x’y’z’
• (D) x+y+z

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Correct answer - Option (C)

Explanation:

there minterm expression is obtained using the and term. here, when x=y=z=0, the expression obtained is x’y’z’.

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Q. The max term when X=Y=Z=1 is

• (A) x’+y’+z’
• (B) xyz
• (C) x’y’z’
• (D) x+y+z

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Correct answer - Option (A)

Explanation:

the max term consists of variables forming an or term. here, when x=y=z=1, the expression is x’+y’+z’.

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Q. 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

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Correct answer - Option (A)

Explanation:

a product term containing all k variables of the function in either complemented or uncomplemented form is called a minterm. a sum term containing all k variables of the function in either complemented or uncomplemented form is called a maxterm.

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Q. What type of logic circuit is represented by the figure shown below?

• (A) xor
• (B) xnor
• (C) and
• (D) xand

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Correct answer - Option (B)

Explanation:

after solving the circuit we get (a’b’)+ab as output, which is xnor operation. thus, it will produce 1 when inputs are even number of 1s or all 0s, and produce 0 when input is odd number of 1s.

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