So began his lifelong fascination with logic and reasoning. This is inconsistent in mathematical logic. It provides the foundation of modern mathematical logic. Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics. It is helpful for the analysis using mathematical logic and tools. It is also equivalent to the formal systems used in the field of mathematical logic. Hilbert is known as one of the founders of proof theory and mathematical logic. This mathematician was inspired by the foundations of mathematics, especially mathematical logic and topology. First, serve as a starting point of powerful mathematical logic. The following is a list of 7400-series digital logic integrated circuits. Microprocessors contain both combinational logic and sequential digital logic. Every server uses its own query logic and structure. There are several reasons for testing a logic circuit. This is similar to a way of axiomatizing classical propositional logic. Here is the truth table for the masking logic.