Boolean Algebra Fundamentals Quiz

George Boole, an English mathematician, invented Boolean algebra in 1854. This algebra uses logical operators AND, OR, and NOT to analyze and simplify logical expressions.

The three basic operators in Boolean algebra are AND (represented by '.' or the symbol '∧'), OR (represented by '+' or the symbol '∨'), and NOT (represented by a line over the variable or the symbol '¬'). These operators define logical relationships between variables.

In Boolean algebra, 1 represents 'true' and 0 represents 'false'. The OR operator (represented by '+') returns 'true' if at least one of the inputs is 'true'. Therefore, 1 + 1 (which means 'true OR true') results in 'true', represented by 1.

Boolean algebra uses variables to represent logical propositions. These variables are usually represented by capital letters like A, B, C, X, Y, or Z. Each variable can have a value of either 1 (representing 'true') or 0 (representing 'false').

The complementation laws in Boolean algebra tell us that for any variable, its complement is the opposite value. It essentially means switching 1's to 0's and 0's to 1's. This operation, also known as negation or inversion, is represented by a line over the variable.