## Lecture 1 (12:00)

### Addition

| Binary Base | 2^7 | 2^6 | 2^5 | 2^4 | 2^3 | 2^2 | 2^1 | 2^0 |
|-------------|-----|-----|-----|-----|-----|-----|-----|-----|
| Decimal     | 128 | 64  | 32  | 16  | 8   | 4   | 2   | 1   |
|             |     |     |     |     |     |     |     |     |
| Int1        | 0   | 0   | 0   | 1   | 0   | 1   | 0   | 1   |
| Int2        | 0   | 0   | 0   | 0   | 0   | 1   | 0   | 1   |
|             |     |     |     |     |     |     |     |     |
| Overflow    |     |     |     |     | 1   |     | 1   |     |
| Result      | 0   | 0   | 0   | 1   | 1   | 0   | 1   | 0   |
| Decimal     | 26  |

### Multiplication

| Binary Base | 2^7 | 2^6 | 2^5 | 2^4 | 2^3 | 2^2 | 2^1 | 2^0 |
|-------------|-----|-----|-----|-----|-----|-----|-----|-----|
| Decimal     | 128 | 64  | 32  | 16  | 8   | 4   | 2   | 1   |
|             |     |     |     |     |     |     |     |     |
| Int1        | 0   | 0   | 0   | 0   | 0   | 0   | 1   | 1   |
| Factor      |     |     |     |     |     |     | 1   |     |
|             |     |     |     |     |     |     |     |     |
| Result      | 0   | 0   | 0   | 0   | 0   | 1   | 1   | 0   |
| Decimal     | 6   |

- Multiply binary shift to the left. Example is x2
- Multiplying by non powers of 2, split and multiply.

| Binary Base    | 2^7 | 2^6 | 2^5 | 2^4 | 2^3 | 2^2 | 2^1 | 2^0 |
|----------------|-----|-----|-----|-----|-----|-----|-----|-----|
| Decimal        | 128 | 64  | 32  | 16  | 8   | 4   | 2   | 1   |
|                |     |     |     |     |     |     |     |     |
| Int1           | 0   | 0   | 0   | 1   | 0   | 0   | 1   | 1   |
| Factor Decimal | 6   |     |     |     |     |     |     |     |
|                |     |     |     |     |     |     |     |     |
| Result 1       | 0   | 1   | 0   | 0   | 1   | 1   | 0   | 0   |
| Result 2       | 0   | 0   | 1   | 0   | 0   | 1   | 1   | 0   |
| Overflow       |     |     |     | 1   | 1   |     |     |     |
| Total          | 0   | 1   | 1   | 1   | 0   | 0   | 1   | 0   |
| Denary         | 114 |

- Example of 19x6, which simplifies into `(19x4) + (19x2)`, which is shown above by doing two binary shifts and adding them together.

## Workshop 1 (11:00)

### CSV Manipulation

1. How many users are in the file?
![](Pasted%20image%2020230929112927.png)
2. Use a combination of head and tail to find the 5th line of the file
![](Pasted%20image%2020230929113130.png)
3. how many users use /bin/sh as their shell and how many use /bin/bash
![](Pasted%20image%2020230929113309.png)