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# Digital Logic Design Quiz

Created by
@LucrativeTanzanite

### Explain the purpose of an encoder and decoder in a block diagram and provide an example of their application.

Encoders are used to convert multiple inputs into a smaller number of outputs, while decoders perform the opposite function, converting a smaller number of inputs into a larger number of outputs. An example of their application is in digital communication systems, where encoders are used to convert analog signals into digital form and decoders are used to convert the digital signals back into analog form for transmission and reception.

### What is a truth table and how is it used in digital logic design?

A truth table is a table that shows the output of a digital logic circuit for every possible combination of input values. It is used to define the behavior of the circuit and to verify its correctness.

### Explain the function of a multiplexer and provide examples of 4:1, 8:1, and 16:1 multiplexer types.

A multiplexer is a digital circuit that selects one of several input signals and forwards it to a single output. Examples of multiplexer types include the 4:1 multiplexer, which selects from 4 input signals, the 8:1 multiplexer, which selects from 8 input signals, and the 16:1 multiplexer, which selects from 16 input signals.

### What is the purpose of a multiplexer in a block diagram?

<p>To select one of multiple input signals and route it to the output</p> Signup and view all the answers

### What is the function of an encoder in digital logic design?

<p>To convert multiple input signals into a coded output</p> Signup and view all the answers

### What is the purpose of a truth table in digital logic design?

<p>To define the output of a digital circuit for all possible combinations of input</p> Signup and view all the answers

## Study Notes

### Encoder and Decoder Basics

• Encoders convert multiple input signals into a binary code, representing the active input.
• Decoders do the reverse, taking a binary input and activating one or more outputs corresponding to that input.

### Multiplexer (MUX) Overview

• A multiplexer selects one of many input signals and forwards the selected input into a single line.
• Multiplexers are categorized by the number of inputs they manage, such as 4:1, 8:1, and 16:1.

### 4:1 Multiplexer

• Contains 4 data inputs, 2 control (selection) lines, and 1 output.
• Logical expression: Output = I0S0S1' + I1S0S1 + I2S0' * S1' + I3S0' * S1.
• Truth table shows each combination of the select lines determining which input is passed to the output.

### 8:1 Multiplexer

• Contains 8 data inputs, 3 control lines, and 1 output.
• Logical expression: Output = Σ (m0, m1, m2, m3, m4, m5, m6, m7) based on the select lines S0, S1, and S2.
• Truth table outlines how combinations of the 3 select lines determine the output from one of the 8 inputs.

### 16:1 Multiplexer

• Comprises 16 data inputs, 4 select lines, and 1 output.
• Logical expression: Output = Σ (m0 to m15) that indicates selection based on S0, S1, S2, and S3.
• Truth table details how the set of 4 select lines identifies which input (among 16) is forwarded to the output.

### General Applications

• Multiplexers are crucial in digital circuits for data routing, minimizing the need for multiple paths.
• Encoders and decoders are vital for data transmission, encoding message signals for streamlined processing.

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## Description

Test your knowledge of digital logic design with this quiz! Explore the purpose of encoders and decoders in block diagrams and their real-world applications. Understand the role of truth tables in digital logic design. Dive into the function of multiplexers and grasp the differences between 4:1, 8:1, and 16:1 multiplexer types.

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