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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.
Boolean is a 'true or false' logic in programming - if you define a function as a Boolean function, the only inputs it can have are true or false, and the output will vary dependant on the input
A boolean function is a function that only works with values that can only have two values, often called "true" and "false", or alternately, "1" and "0".
One use of Boolean algebra is to minimize any function or logic gate.
+ is the symbol