OR Gate (7432): Digital Logic

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What is the condition for an OR gate to produce an output of logic 1 state?

If any of its inputs is in logic 1 state

What is the symbol used to represent the OR operation?

'+'

What is the meaning of NOR gate?

NOT OR

What is the unique feature of a NAND gate that makes it a universal gate?

It can perform three basic logic functions such as AND, OR, and NOT Signup and view all the answers

What is the condition for a NAND gate to produce an output of logic 0 level?

When each of the inputs assumes a logic 1 level Signup and view all the answers

What is the application of Boolean Algebra in digital electronic devices?

Binary systems Signup and view all the answers

What is the condition for a NOR gate to produce an output of logic 1 level?

When each of its inputs assumes a logic 0 level Signup and view all the answers

Who applied Boole's ideas to the analysis of digital circuits?

Claude Shannon Signup and view all the answers

How can an X-NOR gate be used as an inverter?

By connecting one of the two input terminals to logic 0 and inputting the sequence to be inverted to the other terminal Signup and view all the answers

Who is the mathematician and philosopher credited with the development of Boolean Algebra?

George Boole Signup and view all the answers

What is the purpose of Boolean Algebra Theorems?

To simplify logic expressions and logic circuits Signup and view all the answers

What property of Boolean Algebra is used in the simplification of the expression X = (A + B) (A + C)?

Distributive and Idempotent properties Signup and view all the answers

Simplify the Boolean expression: F = AB + ABC + AB

F = AB Signup and view all the answers

What type of logic gate is equivalent to the circuit where the output is 1 exclusively when all the inputs are 1?

AND gate Signup and view all the answers

What is the Morgan's equivalent of (x + y)?

(x' * y')' Signup and view all the answers

What is the simplified equation of F = XZ + XY + YZ?

F = XZ + XY Signup and view all the answers

What is the function implemented by the circuit with an output of 1 exclusively when all the inputs are 1?

AND function Signup and view all the answers

What is the purpose of Example Number 1 in the context of combinational logic circuits?

To reduce the circuit using Boolean algebra Signup and view all the answers

What property of Boolean algebra is used to simplify the expression Q = AB + BC (B +C)?

Distributive and Idempotent Signup and view all the answers

What is the final simplified expression for the output Q in Example Number 1?

B (A + C) Signup and view all the answers

What is the purpose of factoring out input B in Example Number 1?

To further reduce the circuit Signup and view all the answers

What is a 'don't-care' term in the context of Boolean algebra?

An input variable that does not affect the output of the circuit Signup and view all the answers

What is the main application of Boolean algebra in combinational logic circuits?

To simplify and reduce circuits Signup and view all the answers

What is the primary difference between a NAND gate and an AND gate?

A NAND gate produces an output of logic 1 when any of the inputs are logic 0, whereas an AND gate produces an output of logic 1 only when all inputs are logic 1. Signup and view all the answers

What is the output of a NOR gate when all inputs are logic 0?

The output of a NOR gate is logic 1 when all inputs are logic 0. Signup and view all the answers

What is the purpose of a universal gate in digital circuits?

A universal gate can be used to create any possible logic function, making it a fundamental component in digital circuits. Signup and view all the answers

How do you represent the NOT operation in Boolean algebra?

The NOT operation is represented by a horizontal bar over the variable, such as ¬A or Ā. Signup and view all the answers

What is the difference between a logical AND and a logical OR operation?

A logical AND operation produces an output of logic 1 only when all inputs are logic 1, whereas a logical OR operation produces an output of logic 1 when any input is logic 1. Signup and view all the answers

What is the output of an OR gate when all inputs are logic 1?

The output of an OR gate is logic 1 when any input is logic 1, including when all inputs are logic 1. Signup and view all the answers

What is the significance of a NAND gate in digital circuit design?

A NAND gate is a universal gate that can be used to create any possible logic function, making it a fundamental component in digital circuit design. Signup and view all the answers

How do you represent the AND operation in Boolean algebra?

The AND operation is represented by a dot (.) or a multiplication symbol (), such as A·B or AB. Signup and view all the answers

What is the output of an AND gate when any input is logic 0?

The output of an AND gate is logic 0 when any input is logic 0. Signup and view all the answers

What is the role of a logic gate in a digital circuit?

A logic gate performs a logical operation on one or more input signals, producing an output signal based on the operation. Signup and view all the answers