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Semester 1/Computer Systems Internals & Linux/Week 2/Binary Addition and Multiplication.ods Normal file
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Semester 1/Computer Systems Internals & Linux/Week 2/Week 2 Computer Systems Internals & Linux.md Normal file
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## 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)

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Semester 1/Computer Systems Internals & Linux/Week 2/workshop2/results.csv Normal file
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