A 0 0 0 0 1 1 तातात 1 1 A B Cin B O 0 1 1 0 0 1 1 XOR CIN 0 1 0 1 0 1 0 1 G XOR AND AND H I OR Full Adder Truth Table G H I S Conte S COUT
A 0 0 0 0 1 1 तातात 1 1 A B Cin B O 0 1 1 0 0 1 1 XOR CIN 0 1 0 1 0 1 0 1 G XOR AND AND H I OR Full Adder Truth Table G H I S Conte S COUT
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
Truth tables
A full adder adds binary numbers and accounts for values carried in as well as out. A one-bit full-adder adds three one-bit numbers, often written as A, B, and Cin; A and B are the operands, and Cin is a bit carried in from the previous less-significant stage. Complete the full adder truth table using the AND, OR, XOR truth tables and the diagram.
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Transcribed Image Text:## Truth Tables
### AND
| A | B | AND |
|---|---|-----|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
### OR
| A | B | OR |
|---|---|-----|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
### XOR
| A | B | XOR |
|---|---|-----|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
---
## Diagram of a Full Adder Circuit
The diagram depicts a full adder circuit consisting of two XOR gates, two AND gates, and one OR gate.
- Inputs are labeled as A, B, and \( C_{in} \).
- The first XOR gate (marked G) receives inputs from A and B, yielding output G.
- The second XOR gate connects G and \( C_{in} \), producing the Sum output, labeled S.
- AND gate H receives inputs from A and B, yielding output H.
- AND gate I combines G and \( C_{in} \), producing output I.
- The OR gate combines outputs H and I to produce the Carry-out, labeled \( C_{out} \).
---
## Full Adder Truth Table
| A | B | \( C_{in} \) | G | H | I | S | \( C_{out} \) |
|---|---|-----------|---|---|---|---|---------|
| 0 | 0 | 0 | | | | | |
| 0 | 0 | 1 | | | | | |
| 0 | 1 | 0 | | | | | |
| 0 | 1 | 1 | | | | | |
| 1 | 0 |
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