26/08/2020
Digital Electronics:
Combinational Logic
Logic Gates and Boolean
Algebra
Introduction to Logic Gates
• We will introduce Boolean algebra and
logic gates
• Logic gates are the building blocks of
digital circuits
1
, 26/08/2020
Logic Variables
• Different names for the same thing
– Logic variables
– Binary variables
– Boolean variables
• Can only take on 2 values, e.g.,
– TRUE or False
– ON or OFF
– 1 or 0
Logic Variables
• In electronic circuits the two values can
be represented by e.g.,
– High voltage for a 1
– Low voltage for a 0
• Note that since only 2 voltage levels are
used, the circuits have greater immunity
to electrical noise
2
Digital Electronics:
Combinational Logic
Logic Gates and Boolean
Algebra
Introduction to Logic Gates
• We will introduce Boolean algebra and
logic gates
• Logic gates are the building blocks of
digital circuits
1
, 26/08/2020
Logic Variables
• Different names for the same thing
– Logic variables
– Binary variables
– Boolean variables
• Can only take on 2 values, e.g.,
– TRUE or False
– ON or OFF
– 1 or 0
Logic Variables
• In electronic circuits the two values can
be represented by e.g.,
– High voltage for a 1
– Low voltage for a 0
• Note that since only 2 voltage levels are
used, the circuits have greater immunity
to electrical noise
2