Boolean Logic Operation

BOOLEAN LOGIC OPERATION

A Boolean function is an algebraic expression formed using binary constants, binary variables and basic logical operation symbols. Basic logical operations include the AND function, OR function and NOT function. A Boolean functions can be converted into a logic diagram composed of the AND, OR and NOT gates.

Logical AND Operations:

The logical AND operation of two Boolean variables A and B, given as y = A.B. It is represented by Table 4.16. The common symbol for this operation is the multiplication (.).

It perform binary multiplication. The input variables are A and B an output is y = A.B, the output is zero for all cases, except when both A and B are logical 1.

Logical OR Operation:

The logical OR operation between two boolean A and B, given by y = A + B. It is shown in the table-4.17 the OR operation on the variables A and B is logical 1 when A (or) B (or) both are logical 1. The common symbol used for logical addition operation is plus (+).

Logical complement (or) NOT operation:

The logical complement converts the logical 1 to the logical 0 and vice versa. This method is also called as NOT operation. The symbol used for this operation is a bar over the function (or) variable example A. It is shown in Table 4.18.