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https://github.com/mouse-reeve/placevalue_ascii

Create integer grids of binary place values for a function
https://github.com/mouse-reeve/placevalue_ascii

binary mathematics numbering-system place-values visualization

Last synced: 16 days ago
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Create integer grids of binary place values for a function

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# Placevalue Ascii

Creates an ascii representation of the binary ouput of two variable function at a certian place value, arrayed on a grid.

## What?
Consider the function `f(x, y) = x + y`.
Now, make a grid of the outputs of this function for incrementing integer values of `x` and `y`, like so:
```
_|_0___1___2___3__
0| 0 1 2 3
1| 1 2 3 4
2| 2 3 4 5
3| 3 4 5 6
```

Convert each number to binary:
```
_|_0___1___2___3__
0| 000 001 010 011
1| 001 010 011 100
2| 010 011 100 101
3| 011 100 101 110
```

Reduce the grid to only the digits at a certain place value, let's say 3:
```
_|_0___1___2___3__
0| 0 0 0 0
1| 0 0 0 1
2| 0 0 1 1
3| 0 1 1 1
```

Now, replace the `1`s with an asterisk, `*` and the `0` with a space, ` `:
```

*
**
***
```

## Script example
This command produces a 16 by 16 ascii pattern for the function `f(x, y) = x + y` at place value.
``` bash
$ python placevalue_ascii.py "x + y" 3 16 16
****
****
****
****
****
**** *
**** **
**** ***
**** ****
**** ****
**** ****
**** ****
**** ****
*** **** *
** **** **
* **** ***
```