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One use of Boolean algebra is to minimize any function or logic gate.
The idea is to get a simpler expression. If you need to build the hardware to implement a specific boolean expression, you can actually save money if the expression is simpler - and thus, you need less components.
a+C+BD+B
To simplify a circuit you must first find a Boolean expression for the circuit and then apply Boolean algebra to take it down to the simplest form, to implement the fewest gates.
what is the contribution George Boolean to the development of Boolean operations