1.

To convert a Boolean expression to a logic diagram, the technician must first identify the

overall type of circuit associated with the expression. This is necessary for two reasons:

(1) to determine where the expression must first be separated and (2) to determine which

logic symbol must first be drawn to represent the final output Boolean expression

correctly.

To convert a Boolean expression to a logic diagram, the first step for the technician is to

__________________ the __________________ __________________

of circuit associated with the expression.

identify

overall type

2.

To construct a logic diagram from a Boolean expression, begin drawing at the right and

work left. If letters in the expression are grouped (by parentheses, brackets, braces,

vincula, etc.), first, separate the group from other groups or letters. For example, Boolean

expression (A+B)(C+D) indicates that the quantity (A+B) grouped together by

parentheses must first be separated from the other group (C+D). Examination of the

expression reveals that it is a two-input AND gate with inputs (A+B) and (C+D). If the

letter X were substituted for the quantity (A+B) and the letter Y were substituted for the

quantity (C+D), the expression would then be represented by XY, a more obvious

expression for a two-input AND gate. Substituting single letters for grouped quantities is

an aid in determining the overall type of circuit the expression represents.