Deductive reasoning Deductive reasoning Deductive reasoning, also deductive logic, logical deduction is the process of reasoning from one or more statements (premises) to reach a logically certain conclusion. Deductive reasoning goes in the same direction as that of the conditionals, and links premises with conclusions. If all premises are true, the terms are clear, and the rules of deductive logic are followed, then the conclusion reached is necessarily true. Deductive reasoning (""top-down logic"") contrasts with inductive reasoning (""bottom-up logic"") in the following way; in deductive reasoning, a conclusion is reached reductively by applying general rules which hold over the entirety of a
Combinational logic a product of sums. Consider the following truth table: Using sum of products, all logical statements which yield true results are summed, giving the result: Using Boolean algebra, the result simplifies to the following equivalent of the truth table: Minimization (simplification) of combinational logic formulas is done using the following rules based on the laws of Boolean algebra: With the use of minimization (sometimes called logic optimization), a simplified logical function or circuit may be arrived upon, and the logic combinational circuit becomes smaller, and easier to analyse, use, or build. Combinational logic In digital circuit theory, combinational logic (sometimes