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This mock test of Boolean Algebra & Minimization Techniques for GATE helps you for every GATE entrance exam.
This contains 10 Multiple Choice Questions for GATE Boolean Algebra & Minimization Techniques (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Three Boolean operators are

Solution:

The three Boolean operators are NOT, OR, AND, These are also called basic gates for digital electronics.

QUESTION: 2

The only function of a NOT gate is to

Solution:

NOT gate is used to invert the input signal.

QUESTION: 3

Negative logic in 'a logic circuit is one in which

Solution:

In negative logic:

- logic 0 = Some positive voltage
- logic 1 = Zero voltage

or

- logic 0 = Some higher voltage level (i.e. + 5 V,)
- logic 1 = Some lower voltage level (i.e. + 2 V)

QUESTION: 4

Which of the following Boolean Expressions is not true?

Solution:

A + 1 = 1 (Always)

Hence, option (c) is not correct.

QUESTION: 5

The simplified form of the Boolean expression is

Solution:

Using distribution theorem, we have:

QUESTION: 6

The Boolean expression:

may be simplified as

Solution:

Given

QUESTION: 7

The complement form of is

Solution:

Given

∴

QUESTION: 8

The POS form of expression is suitable for circuit using:

Solution:

POS form (Product of Sum form) of expression is suitable for circuit using NOR gates.

QUESTION: 9

Which of the following is/are the correct reason for using Gray code in K-maps?

Solution:

QUESTION: 10

When eight adjacent 1 's are grouped horizontally or vertically the group so found is called

Solution:

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