A Level Computer Science OCR Practice Exam 2026 – Complete Study Resource

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According to the Distribution rule, what does X AND Y OR X AND Z simplify to?

X AND (Y OR Z)

The expression X AND Y OR X AND Z can be simplified using the Distribution rule of Boolean algebra. This rule allows us to factor common terms from expressions.

In this case, both terms X AND Y and X AND Z share the common term X. Therefore, we can factor X out of the expression. This process leads us to X AND (Y OR Z). By applying this rule, we can see that the original expression simplifies neatly, demonstrating the utility and efficiency of the Distribution rule in simplifying logical expressions.

Understanding this simplification is crucial as it showcases how Boolean algebra allows for the manipulation and reduction of logic expressions, which is fundamental in computer science, particularly in designing and optimizing circuits.

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X OR (Y AND Z)

X AND Y AND Z

X OR Y OR Z

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