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Digital Logic Gates

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Questions and Answers

Which of the following is represented by the truth table?

A logic gate
A Boolean algebraic expression (correct)
A conjunctive form
A circuit diagram

What is the purpose of a logic gate?

To emulate arithmetic operations
To emulate Boolean algebraic operations (correct)
To emulate geometric operations
To emulate trigonometric operations

What is the symbol used to denote the AND operation?

∧ (correct)
∨
⨁
'

What is the Boolean algebraic expression for the NAND operation?

(A.B)' (A) Signup and view all the answers

What is the purpose of De Morgan's Theorem?

To simplify Boolean algebraic expressions (D) Signup and view all the answers

What is the symbol used to denote the NOT operation?

¬ (A) Signup and view all the answers

What is the symbolic representation of the NOR operation?

(A ∨ B)' (A) Signup and view all the answers

What is the purpose of a Buffer gate?

To increase the propagation delay of circuits (A) Signup and view all the answers

What is the Boolean expression for a three-input AND gate?

F = x ∧ y ∧ z (A) Signup and view all the answers

What is the symbolic representation of the XNOR operation?

A ⨁ B (D) Signup and view all the answers

How many inputs can a multi-input logic gate have?

More than two inputs (D) Signup and view all the answers

What is the Boolean expression for a three-input XOR gate?

F = x ⨁ y ⨁ z (C) Signup and view all the answers

What is the primary objective when simplifying boolean expressions?

To minimize the cost and improve efficiency (A) Signup and view all the answers

What does the conjunctive form of a boolean expression represent?

A product of sums of literals (C) Signup and view all the answers

Which theorem is used to simplify boolean expressions by rearranging the order of operations?

De Morgan's Theorem (B) Signup and view all the answers

What is the primary use of a truth table in boolean algebra?

To formulate the expression from a given truth table (B) Signup and view all the answers

What type of logic gate is used to represent the NOT operation?

NOT gate (A) Signup and view all the answers

What is the purpose of drawing a logic circuit from a boolean expression?

To visualize the implementation of the expression using logic gates (A) Signup and view all the answers