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: about 6 hours ago
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Create integer grids of binary place values for a function

• Host: GitHub
• URL: https://github.com/mouse-reeve/placevalue_ascii
• Owner: mouse-reeve
• License: mit
• Created: 2017-06-18T01:34:22.000Z (over 7 years ago)
• Default Branch: master
• Last Pushed: 2018-05-18T18:45:46.000Z (over 6 years ago)
• Last Synced: 2024-08-02T14:09:05.509Z (3 months ago)
• Topics: binary, mathematics, numbering-system, place-values, visualization
• Language: Python
• Homepage: https://www.mousereeve.com/
• Size: 4.88 KB
• Stars: 31
• Watchers: 3
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# 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

            ****

           **** 

          ****  

         ****   

        ****    

       ****    *

      ****    **

     ****    ***

    ****    ****

   ****    **** 

  ****    ****  

 ****    ****   

****    ****    

***    ****    *

**    ****    **

*    ****    ***

```