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Monday, 25 January 2016

Binary Logic and Gates notes

Binary Logic and Gates
§Binary variables take on one of two values.
§Logical operators operate on binary values and binary variables.  Scc-education.com
§Basic logical operators are the logic functions AND, OR and NOT.
§Logic gates implement logic functions.
§Boolean Algebra: a useful mathematical system for specifying and transforming logic functions.


§We study Boolean algebra as a foundation for designing and analyzing digital systems!
Binary Variables
§Recall that the two binary values have different names:
True/False Scc-education.com
On/Off
Yes/No
1/0
§We use 1 and 0 to denote the two values.
§Variable identifier examples:
A, B, y, z, or X1 for now
RESET, START_IT, or ADD1 later
Logical Operations
§The three basic logical operations are:
AND
OR
NOT Scc-education.com
§AND is denoted by a dot (·).
§OR is denoted by a plus (+).
§NOT is denoted by an overbar ( ¯ ), a single quote mark (') after, or (~) before the variable.

§
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