And that is where this notion of 'sequential logic' comes from. The issue is mostly the nature and interpretation of the input variables and results. 'Temporal logic' or 'modal logic' but in the end it comes all back down to basic logic. There are certain stylized 'logics' like 'first order logic' which are constraints on the expressivity. Sequential logic does correspond to the strictly non-deterministic finite state machine in automata theory, which is considered to be a field of computer science. Sequential logic does not correspond to any mathematical logic system. This is not true non-determinism.ĭo combinational and sequential logics correspond to some mathematical logic systems?Ĭombinational logic directly corresponds to Boolean Algebra, which is an algebraic logic. Non-determinism can be emulated using Pseudorandom Number Generation. Strictly speaking, only deterministic Finite State machines can be built using sequential logic. There are also automata which are undecidable, and it is not possible to build sequential logic for these automata. An automaton can be implemented in sequential logic if it has a finite number of states and is deterministic. Sequential circuits have feedback.įinite State Machines are sequential logic since they have memory. In sequential logic, the outputs will also depend on the previous inputs. Sequential Logic is built from combinational logic circuits and has memory. logic different (unrelated) approaches to study sequential logic? Boolean data types can take only 2 values.Īre finite state machine/automaton and temporal/modal/. Boolean operations can be operated only on Boolean data types. In digital electronics, combinational logic refers to circuits which implement Boolean operations, and whose outputs are a function of the current inputs. Propositional logic operates on propositions, which are declarative sentences. Is combinational logic the same thing as propositional logic in mathematical logic?

And sequential logic in digital electronics is subdivided into asynchronous and synchronous sequential logic. Is it correct that the functionalities of digit circuits are divided into combinational logic and sequential logic?

Combination vs sequential logic