This set of Computer Fundamentals Multiple Choice Questions & Answers (MCQs) focuses on “Boolean Functions”.

1. Boolean Function is of the form of ________

a) Truth values

b) K=f(X,Y,X)

c) Algebraic Expression

d) Truth Table

View Answer

Explanation: The boolean function is of the form of algebraic expressions or truth table. A boolean function is of the form as that of option 2. The result obtained from a boolean function can be a truth value or a fallacy.

2. The result of X+X.Y is X.

a) True

b) False

View Answer

Explanation: This is a boolean expression. It can be evaluated as :

X+X.Y = X(1+Y) = X.

Since 1+Y=1 by boolean laws.

3. 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

View Answer

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.

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

a) 2^{n}

b) 2^{n+1}

c) 2^{n}

d) 2^{n+1}

View Answer

Explanation: The general form for the calculation of rows in a truth table is 2

^{n}. Here, n= number of literals in the function.

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

a) 4

b) 3

c) 2

d) 1

View Answer

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.

6. 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)

View Answer

Explanation: The OR and AND operators are interchanged. The complement terms are reduced to normal terms and the result is obtained.

7. What is the complement of X’Y’Z?

a) X+YZ

b) X’+Y+’Z’

c) X+Y+Z’

d) XYZ’

View Answer

Explanation: The complement is obtained by converting the complement terms to normal terms and vice versa. Also, the OR and AND operators are interchanged. Here, X’Y’Z gets converted to X+Y+Z’.

8. The minterm of any expression is denoted by ___________

a) Mt

b) m

c) M

d) min

View Answer

Explanation: The variables forming an AND term is generally the minterm. It is denoted by m. (lower case letter).

9. The min term when X=Y=Z=0 is _____________

a) x’+y’+z’

b) xyz

c) x’y’z’

d) x+y+z

View Answer

Explanation: There minterm expression is obtained using the AND term. Here, when X=Y=Z=0, the expression obtained is x’y’z’.

10. The max term when X=Y=Z=1 is ________

a) x’+y’+z’

b) xyz

c) x’y’z’

d) x+y+z

View Answer

Explanation: The max term consists of variables forming an OR term. Here, when X=Y=Z=1, the expression is x’+y’+z’.

**Sanfoundry Global Education & Learning Series – Computer Fundamentals.**

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