Wikimore

Summary

Description

Basically the AND table, but rows not containing a 1 have been divided by their lowest positive entry (see below)

Image set Operation tables with binary digits (16×16 with dual matrices)

This SVG was created with Inkscape.

Source

Own work

Author

Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

Details

int

powers of two

entries of AND table (Sierpinski row)

AND table

levelled AND table

[]
[0]
[1]
[0, 1]

[2]
[0, 2]
[1, 2]
[0, 1, 2]

[3]
[0, 3]
[1, 3]
[0, 1, 3]

[2, 3]
[0, 2, 3]
[1, 2, 3]
[0, 1, 2, 3]

[0]
[0, 1]
[0, 2]
[0, 1, 2, 3]

[0, 4]
[0, 1, 4, 5]
[0, 2, 4, 6]
[0, 1, 2, 3, 4, 5, 6, 7]

[0, 8]
[0, 1, 8, 9]
[0, 2, 8, 10]
[0, 1, 2, 3, 8, 9, 10, 11]

[0, 4, 8, 12]
[0, 1, 4, 5, 8, 9, 12, 13]
[0, 2, 4, 6, 8, 10, 12, 14]
[0, 1, 2, 3, 4, 5, 6, 7, 8, ..., 15]

0  0  0  0   0  0  0  0   0  0  0  0   0  0  0  0
0  1  0  1   0  1  0  1   0  1  0  1   0  1  0  1
0  0  2  2   0  0  2  2   0  0  2  2   0  0  2  2
0  1  2  3   0  1  2  3   0  1  2  3   0  1  2  3

0  0  0  0   4  4  4  4   0  0  0  0   4  4  4  4
0  1  0  1   4  5  4  5   0  1  0  1   4  5  4  5
0  0  2  2   4  4  6  6   0  0  2  2   4  4  6  6
0  1  2  3   4  5  6  7   0  1  2  3   4  5  6  7

0  0  0  0   0  0  0  0   8  8  8  8   8  8  8  8
0  1  0  1   0  1  0  1   8  9  8  9   8  9  8  9
0  0  2  2   0  0  2  2   8  8 10 10   8  8 10 10
0  1  2  3   0  1  2  3   8  9 10 11   8  9 10 11

0  0  0  0   4  4  4  4   8  8  8  8  12 12 12 12
0  1  0  1   4  5  4  5   8  9  8  9  12 13 12 13
0  0  2  2   4  4  6  6   8  8 10 10  12 12 14 14
0  1  2  3   4  5  6  7   8  9 10 11  12 13 14 15

0  0  0  0   0  0  0  0   0  0  0  0   0  0  0  0
0  1  0  1   0  1  0  1   0  1  0  1   0  1  0  1
0  0  1  1   0  0  1  1   0  0  1  1   0  0  1  1
0  1  2  3   0  1  2  3   0  1  2  3   0  1  2  3
 
0  0  0  0   1  1  1  1   0  0  0  0   1  1  1  1
0  1  0  1   2  3  2  3   0  1  0  1   2  3  2  3
0  0  1  1   2  2  3  3   0  0  1  1   2  2  3  3
0  1  2  3   4  5  6  7   0  1  2  3   4  5  6  7

0  0  0  0   0  0  0  0   1  1  1  1   1  1  1  1
0  1  0  1   0  1  0  1   2  3  2  3   2  3  2  3
0  0  1  1   0  0  1  1   2  2  3  3   2  2  3  3
0  1  2  3   0  1  2  3   4  5  6  7   4  5  6  7

0  0  0  0   1  1  1  1   2  2  2  2   3  3  3  3
0  1  0  1   2  3  2  3   4  5  4  5   6  7  6  7
0  0  1  1   2  2  3  3   4  4  5  5   6  6  7  7
0  1  2  3   4  5  6  7   8  9 10 11  12 13 14 15

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.

Category:License migration redundant#0...15%20AND%20levelled.svg Category:GFDL#0...15%20AND%20levelled.svg

This file is licensed under the Creative Commons Attribution 4.0 International license.

You are free:

to share – to copy, distribute and transmit the work
to remix – to adapt the work

Under the following conditions:

attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

Category:CC-BY-4.0#0...15%20AND%20levelled.svg

You may select the license of your choice.

Category:Self-published work

Category:Operation tables with binary digits (16×16 with dual matrices)

Wikimore

File:0...15 AND levelled.svg

Summary

Details

Licensing