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**reallylongnickname****Member**- Registered: 2011-03-30
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*Last edited by reallylongnickname (2013-01-20 11:12:58)*

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,588

1 = 1 | 0

0 = 0 | 0

| means OR.

now AND...

0 = 0 & X

X = 1 & X, where X can be 1 or 0 (boolean value)

now XOR...

(exclusive-OR)

1 = 1 ^ 0

1 = 0 ^ 1

0 = 1 ^ 1

0 = 0 ^ 0

basically the 1 is a toggle of the other value, toggle = flip from 0 to 1 or 1 to 0.

Given that Ab, Bb, Cb are boolean variables holding 0 or 1, we have the following:

The / sign is the negation or NOT symbol as / put in front of a variable.

(Ab & /Bb) | (Bb & /Ab) = A ^ B, where ^ means exclusive-or (XOR).

Also demorgans laws something like...

/(Ab & Bb) = /Ab + /Bb

Also see Karnaugh mapping for electronics ways...

Maurice Karnaugh of Bell Labs 1957 1953...

**igloo** **myrtilles** **fourmis**

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