Boolean Logic and Conditions

Boolean Algebra is a form of mathematics concerned with resolving logical problems. It was devised by the English mathematician George Boole (1815–1864) as a tool to study philosophical and mathematical problems, but has been adopted for use in expressing logical and conditional problems. In Designer, a constituent of Boolean Algebra called Boolean Logic Boolean Logic is used to quantify and resolve logical statements that may be TRUE or FALSE, as part of Conditions. It does this by relating items to each other using keywords. Designer uses four such keywords: AND, OR, NAND and NOR., is used to quantify and resolve logical statements that may be TRUE or FALSE, as part of conditions. It does this by relating items to each other using keywords. Designer uses four such keywords: AND, OR, NAND, and NOR. These are explained later in this topic.

How to use Boolean Logic in Designer

Designer uses Boolean Logic to assess the TRUE or FALSE state of a condition and its constituent Terms. A condition is a collection of Terms. A Term A component of a Condition, a Term is an expression that may be TRUE or FALSE. A Condition may contain several Terms which, when assessed using Boolean Operators, determine whether the Condition is TRUE or FALSE. is a single statement that, at any given time, may be TRUE or FALSE. For example, a term may specify a day of the week, such as Monday. If the current day is Monday, then this term is TRUE, but on all other days it is FALSE.

To determine if a condition state is TRUE or FALSE, we must assess the TRUE or FALSE state of all the terms within it. To do this, we link Instructions within a scene that, when the scene is executed, cause another scene to be executed after or instead of the scene, or cause a range of scenes to be enabled/disabled, but only after a defined delay. all the terms together using the Boolean Operator associated with the condition. These links, their possible states and their results are usually shown in what we call a Truth Table A table used to show all possible logical states of a Boolean expression. In Designer, these are used to show the possible states of a Condition and its Terms. . The following Truth Tables use two terms (term 1 and term 2), but any number of terms can be assessed in this way.

AND

This Operator means that the condition is only TRUE if all terms in the condition are TRUE.

OR

This Operator means that the condition is only TRUE if any terms in the condition are TRUE.

NAND

This Operator means NOT AND. It is the opposite of AND. The condition is only TRUE if one or all of the terms in the condition is FALSE.

NOR

This Operator means NOT OR. It is the opposite of OR. The condition is only TRUE if all terms in the condition are FALSE.

Related Topics

• Conditions