## Binary Logic and Gates notes

Binary Logic and Gates

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__Binary variables__take on one of two values.
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__Logical operators__operate on binary values and binary variables. Scc-education.com
§Basic logical
operators are the

__logic functions__AND, OR and NOT.
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__Logic gates__implement logic functions.
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__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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