Combining logic gates - boolean algebra, Computer Engineering

More complicated logic circuits can be made byconnecting a number of simple logic gates.How do we decide how to connect the gates togive a particular function e.g. output Y?We need some methods or 'tools' to designmore complicated circuits.One of these design tools is called Booleanalgebra. 

Boolean algebra

Boolean algebra is a mathematical method based on human reasoning. In Boolean algebra only 2 states exist; true and false which are written as 1 (true) and 0 (false). Boolean variables can only take one of these two values. The basic laws of Boolean algebra govern how an expression can be manipulated.

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