Digital Electronics: Half Adder and 2:1 MUX Design

Explore the concepts of half adders and multiplexers, learn how they work, and build and simulate circuits in the field of digital electronics. Dive into the world of adders, understand the operation of a half adder with XOR and AND gates, and delve into the functionality of a 2-to-1 multiplexer using inverters and NAND gates.

• Digital Electronics
• Half Adder
• Multiplexer Design
• Adders
• XOR Gate

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Presentation Transcript

1. ECE 3130 Digital Electronics and Design Davud Kazdal Lab 3 Part B Half Adder and 2:1 MUX Fall 2022

2. Tips Always save your user-made components! Always use a user-made component when possible To move component, Alt + drag To rotate, click R

3. Objectives Learn how adders and multiplexers work Build and simulate a half adder XOR AND Build and simulate a 2-to-1 multiplexer Inverter NAND

4. What are adders? Digital circuits that perform addition of numbers Half adder Adds two 1-bit binary numbers Full adder(next lab) Adds three 1-bit binary numbers

5. Half Adder Truth table A 0 0 1 1 B 0 1 0 1 Sum 0 1 1 0 Carry_out 0 0 0 1 XOR Gate Implementation AND Gate

6. Half Adder - Schematic NAND + Inverter = AND Gate

7. Half Adder - Symbol

8. Half Adder Test circuit

9. Half Adder - Waveforms

10. What is a multiplexer (MUX)? A device with multiple inputs and one output Also known as a data selector or controlled switch

11. How does it work? Truth table A MUX has n select lines, 2ninputs and 1 output S A B Z 0 0 0 0 0 0 1 0 The select line chooses which input to pass to the output 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1 2-to-1 MUX 1 1 0 0 1 1 1 1

12. 2:1 MUX Gate Implementation

13. MUX 2:1 Schematic

14. MUX 2:1 Symbol

15. MUX 2:1 Test circuit Keep D1 pulse width twice than D0, Sel pulse width twice than D1

16. MUX 2:1 - Waveform