Boolean Algebra is the mathematical foundation of digital circuits. Boolean Algebra specifies the relationship between Boolean variables which is used to design combinational logic circuits using Logic Gates. The truth table shows a logic circuit's output response to all of the input combinations.
A practical use of Boolean algebra is to simplify Boolean expressions which means less logic gates are used to implement the combinational logic circuit.
Logic gates are electronic circuits that implement the basic functions of Boolean Algebra. There is a symbol for each gate.
The Truth Table shows the values of the circuit output for all input values.
Logic levels (0 or 1) are represented by means of a voltage level
Fig 1 is an example of four circuits that are equivalent because their truth tables are identical.
Logic gates are used to implement the following digital circuit.
Bank Alarm System
A bank wants to install an alarm system with 3 movement sensors.
To prevent false alarms produced by a single sensor activation, the alarm will be triggered only when at least two sensors activate simultaneously.
Other logic applications like Odd numbers, Multiplexers, Adders, BCD to 7 segment decoder ... which you learn how to use logic gates to implement in minutes!
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