Changes

===NAND and NOR===

===NAND and NOR===

NAND and NOR are formed by simply performing a NOT on the output of an AND or OR operation, respectively.

NAND and NOR are formed by simply performing a NOT on the output of an AND or OR operation, respectively. NAND can be expressed symbolically as A NAND B = (AB)' and NOR can be expressed symbolically as A NOR B = (A+B)'.

 

A'B' + A'B + AB'

A'(B'+B) + AB'

A'(1) + AB'

 

===XOR===

===XOR===

XOR (or "exclusive OR") gives a 1 ("true") if either of its inputs are 1, but not both. Mathematically this can be broken down as follows:

XOR (or "exclusive OR") gives a 1 ("true") if either of its inputs are 1, but not both. Symbolically this can be broken down into its basic operations by the expression: A XOR B = A'B + B'A.

 

:<math>AB + AB

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