Logic
It Boolean gives the formal basis for digital circuits It uses three basic functions
AND A 0 0 1 1 B 0 1 0 1 A and B 0 0 0 1 OR A 0 0 1 1 A B B 0 1 0 1 A or B 0 1 1 1 NOT A 0 1 not A 1 0
A B
A and B
A or B
Boolean Logic
You will find that Nand and Nor Gates are very popular. By using them, there is no need of Not NOR gate NAND
A 0 0 1 1 A B B 0 1 0 1 A nand B 1 1 1 0 A B A 0 1 0 1 B 0 1 0 1 A nor B 1 0 0 0
Boolean Logic
In digital circuits 0 and 1 are represented as
0 = 0 volts 1 = +5 volts
You can interconnect digital circuits with each other to create complex Boolean expressions. (A and B) is represented as AB (A or B) is represented as A+B
Boolean Logic
Example:
A B' A'B +AB' A B B A' B A' Truth Table A 0 0 1 1 B 0 1 0 1 A xor B 0 1 1 0 AB'