Binary Logic and Gates notes
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January 25, 2016 |
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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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