# Hexadecimal Conversion

> Blue Cosmo | 08/02/21

***

## Overview:

```
a python shell script to convert numeric values into hexadecimal [vice versa]
```

## Resources:

* python3
* functions

```python
# function for hex conversion
hex()

# function for integer conversion
int(hexadecimal, 16)
```

## Components:

* convert

## Roadmap:

## Extraneous:

* binary, a based-sixteen, alpha-numeric system
* composed of sixteen digits:
  * 0-9 - integers
  * 10-15 - alphanumeric \[prevents confusion]
    * 10 - A
    * 11 - B
    * 12 - C
    * 13 - D
    * 14 - E
    * 15 - F

```
Decimal      : 28
Hexadecimal  : 1C
```

***

Decimal --> Hexadecimal

```markdown
| Decimal     |      39     |            |           |        |       |      | 7    | 0    |
|-------------|-------------|------------|-----------|--------|-------|------|------|------|
| Hexadecimal | 0           | 0          | 0         | 0      | 0     | 0    | 2    | 7    |
| Base        | 16^7        | 16^6       | 16^5      | 16^4   | 16^3  | 16^2 | 16^1 | 16^0 |
| Value       | 268,435,456 | 16,777,216 | 1,048,576 | 65,536 | 4,096 | 256  | 16   | 1    |
```

* find the first value that can go into your decimal \[from the left to your right]
* list the number of times that value can go intor the decimal in the hexadecimal section
* list the decimal subtracted by (decimal\*hexadecimal) sections, set this as your new decimal value
* rinse and repeat using your new decimal

***

Hexadecimal --> Decimal

```markdown
| Decimal     |     350     |            |           |        |       | 256  | 80   | 14   |
|-------------|-------------|------------|-----------|--------|-------|------|------|------|
| Hexadecimal | 0           | 0          | 0         | 0      | 0     | 1    | 5    | E    |
| Base        | 16^7        | 16^6       | 16^5      | 16^4   | 16^3  | 16^2 | 16^1 | 16^0 |
| Value       | 268,435,456 | 16,777,216 | 1,048,576 | 65,536 | 4,096 | 256  | 16   | 1    |
```

* multiply each value by its respective hexadecimal and add the results together


---

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