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Introduction
Published in Vlad P. Shmerko, Svetlana N. Yanushkevich, Sergey Edward Lyshevski, Computer Arithmetics for Nanoelectronics, 2018
Vlad P. Shmerko, Svetlana N. Yanushkevich, Sergey Edward Lyshevski
Boolean functions are particular functions that can be described in terms of expressions over Boolean algebra, called Boolean formulas. A Boolean formula of n variables is a string of symbols of x1,x2,…,xn, the binary operations of Boolean sum (∨), Boolean product (⋅), unary operation of the complement (-), and brackets (). A Boolean formula is the Boolean function after specification of values, given assignments of variables.
S
Published in Phillip A. Laplante, Dictionary of Computer Science, Engineering, and Technology, 2017
short-circuit evaluation a term applied to the evaluation of Boolean expressions which implies that only as much of the expression needs to be evaluated as will uniquely determine the result. For example, in the expression (A and B), if A evaluates to false, B need not be evaluated at all, since its evaluation will not change the value of the expression. Generally used in programming languages so illegal conditions can be bypassed; for example, “if n is not zero and q divided by n is greater than 5” means that if n is zero, the division will not occur because the conjunction is false. Note that some languages will not short-circuit an evaluation if they detect that there are side effects from the evaluation of later terms. Other languages state that either the side effects are guaranteed to not occur, or that the meaning of the program is undefined because the side effects may or may not occur.
Principles of Software Design and Development
Published in Sharon Yull, BTEC National for IT Practitioners: Core Units, 2009
Data types define the format or context of the data. For example, a data type could be classed as: Text – can include any alphanumeric characters, for example abc123. Text benefits from the flexibility of combining both characters and numbers together, a good example being in an address field.Integer – a whole number such as 1, 2, 3 or 4. Benefits of using an integer are that less storage space is required, a counter can be used, mathematical operations can be performed and comparisons can be made.Floating point –a ‘real number’, in that it has a decimal point. The benefits of using a floating point are that percentages, areas, measurements and computations can be stored. An example of this is calculating the area of a circle: the value of pi, 3.14 … .Byte – used for storing binary data in a computer system.Date – will represent data in a specific date format that is beneficial to users as it will prompt them to enter the date in a set format, for example --/--/----, 22/02/1972.Boolean – a logic value that will return a ‘true’ or ‘false’ value. Boolean data types are very small, requiring one bit, 0 or 1, representing true or false.
Petri net models for Physarum machines built to realise Boolean functions
Published in International Journal of Parallel, Emergent and Distributed Systems, 2018
A total Boolean function can be presented in a form of a truth table . The truth table is a table with columns and rows. Each row of corresponds to one of the possible vectors of values of binary variables , where . The last column of , in the ith row, includes the value .