ECE 275: Adders
Announcments
- Homework 5 is due on Oct 15th, 9 AM before class.
- Read 3.1 to 3.33 of textbook by Wednesday.
Half adder
Design a Multi-output circuit that adds two 1-bit binary numbers \(x_0\) and \(y_0\) and outputs a sum \( s_0 \) and carry bit \( c_1 \).| \( x_0 \) | \( y_0 \) | \( s_0 \) | \( c_1 \) |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
Half Adder
Full adder
Design a Multi-output circuit that adds three 1-bit binary numbers \(x_i\), \(y_i\) and \(c_{i}\) outputs a sum \( s_i \) and carry bit \(c_{i+1} \).| \( c_i \) | \( x_i \) | \( y_i \) | \( s_i \) | \( c_{i+1} \) |
|---|---|---|---|---|
| 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 |
Full adder
Brown and Vranesic (2014)
Decomposed Full adder
Design a Full adder in terms of two Half AddersDecomposed Full adder
Brown and Vranesic (2014)
Ripple carry adder
Design a 4-bit adder using 4 Full addersRipple carry adder
Brown and Vranesic (2014)
More circuit symbols
Multiplexer
Adder
More circuit symbols
Multiplexer
Adder
Design a 4-bit Adder/Substractor unit
Using an adder and 1's complement unit.
Adder/Substractor unit
Gray code
Binary coded Decimal
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