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Some sequences are defined by rules and algebra is a mathematical way of describing rules.
Digital logic IS hardware that implements Boolean algebra.
Boolean algebra is the process of evaluating statements to be either true or false. It is extremely important for inductive and deductive reasoning as well as for all forms of science.
Boolean algebra is the very basis for all of computing. Boolean algebra results in only 2 answers, true or false. To computers, these are represented by 0 and 1. This creates the binary system, which is how all computers operate.