Category:3-ary Boolean functions in octeract matrix; great praetors

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search
This category is an image set. It should contain only images that have the same style, and should have a parent category that is purely topical.
nobles

In the two matrices for a great praetor the same four nobles are highlighted by bold integers.

The great praetor is the index of the unique royal in the respective set of truth tables or Zhegalkin indices,
i.e. of the unique bold integer on red ground in the respective matrix pair.

great praetor royal index royal value
0 0 0
1 2 40
2 4 72
3 6 96


The 16 Boolean functions with praetor 0 have truth tables whose first and second half is equal.
Their fields form the bit-reversal permutation.

great
praetor
praetors truth
tables
Zhegalkin
indices
0
     0
     9
     8
     1
1
     10
     3
     2
     11
2
     12
     5
     4
     13
3
     6
     15
     14
     7
overview

Pages in category "3-ary Boolean functions in octeract matrix; great praetors"

This category contains only the following page.