5,580
edits
Changes
Jump to navigation
Jump to search
Line 51:
Line 51: − + − − − − A'(1) + AB' − A' + AB' − − 00 = 1 + 0*1 = 1 − 01 = 1 + 1*0 = 1 − 10 = 0 + 1*1 = 1 − 11 = 0 + 1*0 = 1 − + − − :<math>AB + AB
User:HelpJazz/workspace (view source)
Revision as of 23:01, December 12, 2007
, 23:01, December 12, 2007→Derived Functions
===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'
===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.
{{clear}}
{{clear}}