digital fundamentals 10th edition google book

Example Determine the values of A, B, C, and D that make the sum term A + B + C + D equal to 0. A sum term is equal to 0 only if each of the literals is 0. A sum term is equal to 1 when one or more of the literals in the term are 1.

Some examples of sum terms are A + B, A + B, A + B + C, and A + B + C + D. In logic circuits, a sum term is produced by an OR operation with no AND operations involved. In Boolean algebra, a sum term is a sum of literals. Boolean Addition Recall from part 3 that Boolean addition is equivalent to the OR operation. A literal is a variable or the complement of a variable. The complement of the variable A is read as 'not A' or 'A bar.' Sometimes a prime symbol rather than an overbar is used to denote the complement of a variable for example, B' indicates the complement of B. For example, the complement of the variable A is A. The complement is the inverse of a variable and is indicated by a bar over variable (overbar).

Any single variable can have a 1 or a 0 value. A variable is a symbol used to represent a logical quantity. Variable, complement, and literal are terms used in Boolean algebra.

Digital fundamentals 10th edition google book