A Level Computer Science OCR Practice Exam

The Distribution rule is crucial in which aspect of boolean algebra?

1. Translating equations

2. Simplifying expressions

3. Creating new variables

4. Defining operators

The correct answer is: Simplifying expressions

The Distribution rule is fundamental in simplifying expressions in boolean algebra. This rule states that for any boolean variables A, B, and C, the expression A AND (B OR C) can be transformed into (A AND B) OR (A AND C). This ability to distribute one operator over another allows complex expressions to be broken down into simpler, more manageable parts. Simplification is essential because it not only makes expressions easier to understand and manipulate but also assists in optimizing circuits and algorithms in computer science. By applying the Distribution rule, redundant values can be eliminated, and expressions can be reduced to their simplest forms, thereby enhancing efficiency in computations and logic designs. The other options are related but do not directly pertain to the main purpose of the Distribution rule. Translating equations, creating new variables, and defining operators involve other principles and rules within boolean algebra rather than the specific simplification that the Distribution rule provides.