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In computational complexity theory and circuit complexity, a Boolean circuit is a mathematical model for combinational digital logic circuits. A formal language can be decided by a family of Boolean circuits, one circuit for each possible input length. Boolean circuits are defined in terms of the logic gates they contain.
[citation needed] Synthesizers generally ignore the expression of any timing constructs in the text. Digital logic synthesizers, for example, generally use clock edges as the way to time the circuit, ignoring any timing constructs. The ability to have a synthesizable subset of the language does not itself make a hardware description language.
A Boolean value is either true or false. A Boolean expression may be composed of a combination of the Boolean constants True/False or Yes/No, Boolean-typed variables, Boolean-valued operators, and Boolean-valued functions. [1] Boolean expressions correspond to propositional formulas in logic and are a special case of Boolean circuits. [2]
In computer science and formal methods, a SAT solver is a computer program which aims to solve the Boolean satisfiability problem.On input a formula over Boolean variables, such as "(x or y) and (x or not y)", a SAT solver outputs whether the formula is satisfiable, meaning that there are possible values of x and y which make the formula true, or unsatisfiable, meaning that there are no such ...
In logic, a functionally complete set of logical connectives or Boolean operators is one that can be used to express all possible truth tables by combining members of the set into a Boolean expression. [1] [2] A well-known complete set of connectives is { AND, NOT}. Each of the singleton sets { NAND} and { NOR} is functionally complete.
The Advanced Boolean Expression Language (ABEL) is an obsolete hardware description language (HDL) and an associated set of design tools for programming programmable logic devices (PLDs). It was created in 1983 by Data I/O Corporation , in Redmond, Washington.
The XOR is used normally within a basic full adder circuit; the OR is an alternative option (for a carry-lookahead only), which is far simpler in transistor-count terms. For the example provided, the logic for the generate and propagate values are given below. The numeric value determines the signal from the circuit above, starting from 0 on ...
Using the algorithm above it is now possible to find the minimised boolean expression, by converting the essential prime implicants into the canonical form ie. -100 -> BC'D' and separating the implicants by logical OR. The pseudocode assumes that the essential prime implicants will cover the entire boolean expression.