Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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A Full Adder Circuit is shown in Figure 1 utilizing two Half Adders and an OR Gate. The major input bits are A and B, the carry input is CIN, and the Sum and Carry Outputs are COUT, respectively. simulate it using C
Truth table: (Half adder)
| A | B | Sum Pi=A⊕B | Carry, Gi=AB |
| 0 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
Truth table: (Full adder)
| A | B | Ci | Sum, S=A⊕B⊕Ci |
Carry, C0=AB+CiA⊕B |
| 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 | 0 |
| 0 | 1 | 0 | 1 | 0 |
| 0 | 1 | 1 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 |
| 1 | 0 | 1 | 0 | 1 |
| 1 | 1 | 0 | 0 | 1 |
| 1 | 1 | 1 | 1 | 1 |
Transcribed Image Text:Carry-in.
Ci
A
Pi
-Σ
B
Gi
Ci +1
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