William Charles Simpson
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B2S2 Binary Operations Tables


B2S2 means Base 2 Subbase 2.

Base 2 means the numbers in the base are base 2 and in base 2 notation, ie: 0, 1, 10, 11...

Subbase 2 means all the answers to the problems can only be 0, 1.

Two Conventions Govern Subbases:

1. All subbases orginate with the value of zero unless displaced.

2. All subbases increase or decrease in whole number units unless otherwise indicated.

Signs:

Inequalities: Signs like greater than equal to are >= .

Nons: Signs like non-addition are /+ .



 
add         sub         multi       div
+   0 1     -   0 1     *    0 1     /   0 1
            
0   0 1     0   0 1     0    0 0     0   - 0
1   1 1     1   1 0     1    0 1     1   - 1


non         non         non         non
add         sub         multi       div
/+  0 1     /-  0 1     /*   0 1     //  0 1

0   1 0     0   1 0     0    1 1     0   - 1
1   0 0     1   0 1     1    1 0     1   - 0


gt          lt          gte         lte
>   0 1     <   0 1     >=   0 1     <=  0 1

0   0 0     0   0 1     0    1 0     0   1 1
1   1 0     1   0 0     1    1 1     1   0 1


non         non         non         non
gt          lt          gte         lte
/>  0 1     /<  0 1     />=  0 1    /<=  0 1

0   1 1     0   1 0     0    0 1    0    0 0
1   0 1     1   1 1     1    0 0    1    1 0

not         non not
~           /~
0   1       0   0
1   0       1   1
  


William Charles Simpson
1st Update: Thu, Nov 12, '98
Napa CA USA
2nd Update: Sat, Jan 31, '04
Santa Cruz CA USA

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