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1 Digital Logic
1.1 Binary
1011010.0 => \(1*2^6 + 0*2^5 + 1*2^4 + 1*2^3 + 0*2^2 + 1*2^1 + 0*2^0\)
- In binary, 2 conditions could represent all numbers
- Low Voltage => 0
- High Voltage => 1
1011010 + 011101
Here's a truth table:
| Signal A | Signal B | A OR B | A AND B | A XOR B | A NOR B | A XNOR B |
|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 | 1 | 1 |
| 0 | 1 | 1 | 0 | 1 | 0 | 0 |
| 1 | 0 | 1 | 0 | 1 | 0 | 0 |
| 1 | 1 | 1 | 1 | 0 | 0 | 1 |
1.2 Logic gates
OR Gates: a mystery?
1.3 Binary Operations
- A+B => {A XOR B => ones digit; A AND B => carry digit}