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Computer Science - Logic Gates and Functions

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Computer Science - Logic Gates and Functions

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Questions and Answers

Which of the following is NOT a basic logic gate?

AND

NOT

NAND (correct)

Which logic gate is considered the inverse of the AND gate?

XOR

XNOR

NAND (correct)

NOR

What is the primary function of the NOT gate?

To output a '1' only when both inputs are '0'

To combine two inputs into one output

To invert the input signal (correct)

To output a '1' only when both inputs are '1'

Which of these gates can be used to build the other derived logic gates?

NOT (D) Signup and view all the answers

Which logic gate outputs a '1' only when its inputs are different?

XOR (A) Signup and view all the answers

What is the output of the provided function if the input is '1'?

0 (B) Signup and view all the answers

What is the relationship between the input and the output of the function mentioned in the text?

They are inversely proportional. (A) Signup and view all the answers

How many unique possible outputs will a Boolean function with three inputs have?

8 (D) Signup and view all the answers

What is the term used to denote the logical product of two inputs in a Boolean function?

AND (B) Signup and view all the answers

If X and Y are the two inputs of a Boolean function and its output is their logical product, what would the output be if X=0 and Y=1 ?

0 (A) Signup and view all the answers

Study Notes

Computer Science - Logic Gates

Logic gates are fundamental components of digital systems, forming simple electronic circuits in computers.
Binary numbers (1 and 0) underpin their operation.
Logic gates are categorized into basic (AND, OR, NOT) and derived (XOR, NOR, NAND, XNOR) types.

Logic Functions

Logic functions establish relationships between input and output values.
Boolean functions represent these relationships, using 0 and 1 as input and output values.
Boolean functions differ from traditional mathematical functions as they use only binary values, unlike traditional math functions.

Truth Tables

Truth tables systematically display possible input values and corresponding outputs for a logical function.
They show the output for all possible combinations of inputs, aiding in evaluating a logical function's behavior.
To create a truth table, you determine the number of input variables and construct rows representing all possible combinations.

AND Gate

The AND gate is a basic logic gate, implementing logical multiplication.
Its output is 1 only when all inputs are 1; otherwise, the output is 0.
The AND gate has two or more inputs and one output. Represented by keys connected in series electrically.

OR Gate

The OR gate is a basic logic gate, performing logical addition.
Its output is 1 if at least one input is 1; it's 0 only if all inputs are 0.
The OR gate also possesses two or more inputs and one output, represented by keys connected in parallel.

NOT Gate (Inverter)

The NOT gate (inverter) reverses the input logical value.
If the input is 1, the output is 0; if the input is 0, the output is 1.
The NOT gate is a fundamental component, operating on a single input and output.

Logic Gate Priorities

When multiple gates are used in a logical expression, priorities determine the sequence of operation.
Parentheses (brackets) take precedence, followed by NOT, AND, and OR operations.
In the case of equal priorities, calculations proceed from left to right.

Example Applications

Logic gates are crucial in various technologies, notably computer processors, programming, medical equipment, and digital devices (watches, timers).

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Description

Explore the fundamentals of logic gates and functions in computer science through this quiz. Learn about the basic and derived types of logic gates, their operation with binary numbers, and how truth tables represent logical functions. Test your understanding of how binary inputs relate to outputs in logical systems.