Inputs: inp1(A), inp2(B), carry-in(Ci) Outputs: sum(S), carry-out(Co) (a) Truth table A B C S 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 (b) Boolean expression(s) Co

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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# Full Adder

**Inputs:**  
- `inp1(A)`
- `inp2(B)`
- `carry-in(Ci)`

**Outputs:**  
- `sum(S)`
- `carry-out(Co)`

### (a) Truth Table

The truth table below represents the possible input combinations and their corresponding outputs for a full adder.

| A | B | C | S | Co |
|---|---|---|---|----|
| 0 | 0 | 0 |   |    |
| 0 | 0 | 1 |   |    |
| 0 | 1 | 0 |   |    |
| 0 | 1 | 1 |   |    |
| 1 | 0 | 0 |   |    |
| 1 | 0 | 1 | 1 | `  |
| 1 | 1 | 0 |   |    |
| 1 | 1 | 1 |   |    |

### (b) Boolean Expression(s)

This section is intended for writing the Boolean expressions for calculating the sum and carry-out based on the truth table provided.
Transcribed Image Text:# Full Adder **Inputs:** - `inp1(A)` - `inp2(B)` - `carry-in(Ci)` **Outputs:** - `sum(S)` - `carry-out(Co)` ### (a) Truth Table The truth table below represents the possible input combinations and their corresponding outputs for a full adder. | A | B | C | S | Co | |---|---|---|---|----| | 0 | 0 | 0 | | | | 0 | 0 | 1 | | | | 0 | 1 | 0 | | | | 0 | 1 | 1 | | | | 1 | 0 | 0 | | | | 1 | 0 | 1 | 1 | ` | | 1 | 1 | 0 | | | | 1 | 1 | 1 | | | ### (b) Boolean Expression(s) This section is intended for writing the Boolean expressions for calculating the sum and carry-out based on the truth table provided.
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Full Adder:-

An adder known as a "full adder" provides two outputs after adding three inputs. A and B make up the first two inputs, and an input carrier designated as C-IN makes up the third. C-OUT stands for the output carry, and S, or SUM, for the typical output. A comprehensive adder logic is created in a way that allows it to cascade the carry bit from one adder to the next while taking eight inputs in total to form a byte-wide adder.

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