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Test: Boolean Algebra & Minimization Techniques - 1 - Electronics and Communication Engineering (ECE) MCQ


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10 Questions MCQ Test GATE ECE (Electronics) Mock Test Series 2025 - Test: Boolean Algebra & Minimization Techniques - 1

Test: Boolean Algebra & Minimization Techniques - 1 for Electronics and Communication Engineering (ECE) 2024 is part of GATE ECE (Electronics) Mock Test Series 2025 preparation. The Test: Boolean Algebra & Minimization Techniques - 1 questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Boolean Algebra & Minimization Techniques - 1 MCQs are made for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Boolean Algebra & Minimization Techniques - 1 below.
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Test: Boolean Algebra & Minimization Techniques - 1 - Question 1

Three Boolean operators are

Detailed Solution for Test: Boolean Algebra & Minimization Techniques - 1 - Question 1

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

Test: Boolean Algebra & Minimization Techniques - 1 - Question 2

The only function of a NOT gate is to

Detailed Solution for Test: Boolean Algebra & Minimization Techniques - 1 - Question 2

NOT gate is used to invert the input signal.

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Test: Boolean Algebra & Minimization Techniques - 1 - Question 3

Negative logic in 'a logic circuit is one in which

Detailed Solution for Test: Boolean Algebra & Minimization Techniques - 1 - Question 3

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)
Test: Boolean Algebra & Minimization Techniques - 1 - Question 4

Which of the following Boolean Expressions is not true?

Detailed Solution for Test: Boolean Algebra & Minimization Techniques - 1 - Question 4

A + 1 = 1 (Always)
Hence,  option (c) is not correct.

Test: Boolean Algebra & Minimization Techniques - 1 - Question 5

The simplified form of the Boolean expression  is

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Using distribution theorem, we have:

Test: Boolean Algebra & Minimization Techniques - 1 - Question 6

The Boolean expression:

may be simplified as

Detailed Solution for Test: Boolean Algebra & Minimization Techniques - 1 - Question 6

Given

Test: Boolean Algebra & Minimization Techniques - 1 - Question 7

The complement form of  is

Detailed Solution for Test: Boolean Algebra & Minimization Techniques - 1 - Question 7

Given

∴  

Test: Boolean Algebra & Minimization Techniques - 1 - Question 8

The POS form of expression is suitable for circuit using:

Detailed Solution for Test: Boolean Algebra & Minimization Techniques - 1 - Question 8

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

Test: Boolean Algebra & Minimization Techniques - 1 - Question 9

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

Test: Boolean Algebra & Minimization Techniques - 1 - Question 10

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

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