# Binary Conversion

> Blue Cosmo | 08/02/21

***

## Overview:

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

## Resources:

* python3

## Components:

* convert

## Roadmap:

## Extraneous:

* binary, a based-two, alpha-numeric system
* composed of two digits:
  * 1, on or true
  * 0, off or false
* a binary number is one byte, composed of 8 bits

```
Decimal : 28
Binary  : 00011100
```

***

Decimal --> Binary

* each bit in a binary number represents a value form 0-7, being squared by two

```
/----------------------------------------\
|Decimal | 28|   |   | 12| 4 | 0 |   |   |
|--------+---+---+---+---+---+---+---+---|
|Binary  | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 |
|--------+---+---+---+---+---+---+---+---|
|Exponet |2^7|2^6|2^5|2^4|2^3|2^2|2^1|2^0|
|--------+---+---+---+---+---+---+---+---|
|Value   |128| 64| 32| 16| 8 | 4 | 2 | 1 |
\----------------------------------------/
```

* find the first value that can go into your decimal \[from the left to your right]
* place a "1" in the binary section if the value can go into the decimal
* list the decimal subtracted by the value, set this as your new decimal value
* rinse and repeat using your new decimal

***

Binary --> Decimal

* we are given this binary number `01011010`
* add the values under each "1" to get the decimal form

```
/----------------------------------------\
|Decimal |   | 64|   | 16| 8 |   | 2 |   |
|--------+---+---+---+---+---+---+---+---|
|Binary  | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 |
|--------+---+---+---+---+---+---+---+---|
|Exponet |2^7|2^6|2^5|2^4|2^3|2^2|2^1|2^0|
|--------+---+---+---+---+---+---+---+---|
|Value   |128| 64| 32| 16| 8 | 4 | 2 | 1 |
\----------------------------------------/
```

* 64 + 16 + 8 + 2 = 90


---

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