To each Boolean expression there corresponds a unique Boolean function b(v)∈{0,1}, where v=(v1,v2,…,vn). A Boolean function is usually described through a truth table. Two Boolean expressions are called equivalent if they correspond to the same Boolean function. A Boolean function b1 ...
CMOS digital circuitFull adderSwitch-level expressionLogic expression extractionVLSI designFull swingBased on the relationship between circuits (systems) and the signals in the circuits (systems), the theory of expansion Boolean algebra is presented in this paper. Static complementary logic circuits and ...
If gate branching of the decision tree is a default case which is invoked only when both partial expressions are needed to define an expression or sub-expression. These reduced size expression trees readily map into CMOS cascade logic, thereby producing low power, reasonably compact, integrated ...
Any Boolean function can be expressed using only two levels of logic and possible negation of terms. Therefore, conjunctive and disjunctive normal forms are two ways to express any Boolean function. A Boolean query is any valid Boolean expression formed using vocabulary terms and the three Boolean...
The expression F(C,P) evaluates to one (1) if an “n”-segment (2 segments in this example) interconnect connecting points A and B exists, and !F(C,X) is one (1) (or F(C,X) is 0) when the obstacle X is not on the interconnect or does not lie along the path connecting ...
Through the logic circuit created from Boolean expression, the researchers were able to successfully predict the expected disease based on the existence of symptoms. Furthermore, the researchers were able to translate the circuit into its complementary metal-oxide-semiconductor (CMOS) ...
It is demonstrated that the authors' extended algebra is a complete approach for explicit design and analysis of QDI circuits, including logic description, equation formation from truth table, expression simplification and conversion, and even gate mapping and corresponding CMOS implementation. They also...