Boolean Algebra and Logic Simplification Questions and Answers
Boolean Algebra and Logic Simplification Questions with Answers form the foundation of digital electronics. These problems focus on simplifying logical expressions using laws of Boolean algebra, Karnaugh maps, and logic gates. Mastering these questions is essential for students appearing in GATE, ISRO, ECIL, and DRDO exams. Practicing these digital electronics MCQs with step-by-step solutions improves circuit optimization skills and enhances overall exam performance.
Boolean Algebra and Logic Simplification
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41 questions
11. Use Boolean algebra to find the most simplified SOP expression for F = ABD + CD + ACD + ABC + ABCD.
- F = ABD + ABC + CD
- F = CD + AD
- F = BC + AB
- F = AC + AD
12. Occasionally, a particular logic expression will be of no consequence in the operation of a circuit, such as a BCD-to-decimal converter. These result in ________terms in the K-map and can be treated as either ________ or ________, in order to ________ the resulting term.
- don't care, 1s, 0s, simplify
- spurious, ANDs, ORs, eliminate
- duplicate, 1s, 0s, verify
- spurious, 1s, 0s, simplify
13. The NAND or NOR gates are referred to as "universal" gates because either:
- can be found in almost all digital circuits
- can be used to build all the other types of gates
- are used in all countries of the world
- were the first gates to be integrated
14. The truth table for the SOP expression has how many input combinations?
- 1
- 2
- 4
- 8
15. Converting the Boolean expression LM + M(NO + PQ) to SOP form, we get ________.
- LM + MNOPQ
- L + MNO + MPQ
- LM + M + NO + MPQ
- LM + MNO + MPQ
16. A Karnaugh map is a systematic way of reducing which type of expression?
- product-of-sums
- exclusive NOR
- sum-of-products
- those with overbars
17. Which statement below best describes a Karnaugh map?
- A Karnaugh map can be used to replace Boolean rules.
- The Karnaugh map eliminates the need for using NAND and NOR gates.
- Variable complements can be eliminated by using Karnaugh maps.
- Karnaugh maps provide a cookbook approach to simplifying Boolean
18. Which of the examples below expresses the distributive law of Boolean algebra?
- (A + B) + C = A + (B + C)
- A(B + C) = AB + AC
- A + (B + C) = AB + AC
- A(BC) = (AB) + C
19. Which of the following is an important feature of the sum-of-products (SOP) form of expression?
- All logic circuits are reduced to nothing more than simple AND and OR gates
- The delay times are greatly reduced over other forms.
- No signal must pass through more than two gates, not including inverters.
- The maximum number of gates that any signal must pass through is reduced by a factor of two.
20. An OR gate with schematic "bubbles" on its inputs performs the same functions as a(n)________ gate.
- NOR
- OR
- NOT
- NAND