1.

Boolean Algebra aids the computer technician in understanding

electronic computer circuits. The basic laws of Boolean Algebra are

used to manipulate and simplify Boolean expressions. The simplest

electronic circuits which will accomplish a particular function are

designed by applying the basic laws to manipulate and simplify Boolean

expressions. Keep in mind, however, that the laws of Boolean Algebra

do not correspond exactly to the laws of ordinary Algebra.

Boolean Algebra is used to __________________ _ _ _ _ _ _ _ _ _ _ _ _ and

__ __ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Boolean expressions.

manipulate

2.

Boolean Algebra utilizes the binary numbering system. In the binary

simplify

numbering system, there are only two possible constants, '1 and 0, and

only two possible values for any variable, also 1 and 0. A Boolean

expression can be multiplied by following the same rules used in

ordinary Algebra; however, since the largest value in the binary

numbering system is 1, no squares are generated. For example, in

ordinary Algebra, the expressions (A+B)(A+B) multiplied together are

expressed as A2+AB+BA+B2. In Boolean Algebra, the same

expressions (A+B)(A+B), multiplied together are expressed as

AA+AB+BA+BB. In Boolean Algebra, A multiplied by A (AA) is

indicated as AA; B multiplied by B (BB) is indicated as BB, etc.

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