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Flip to reveal answersHow do you construct a logic diagram from a worded rule?
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All 5 Flashcards — Logic diagrams
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Question
How do you construct a logic diagram from a worded rule?
Answer
Write the Boolean expression first, draw the inputs down the left, draw the gates inside the brackets first, then feed their outputs into the final gate and label the output line.
Question
How are the standard gate symbols recognised?
Answer
A flat-backed D shape is AND; a curved back with a pointed front is OR; a triangle with a circle is NOT. A circle on any output inverts it; an extra curve at the back makes it exclusive.
Question
Which gate in an expression gets drawn first?
Answer
Whichever is inside the brackets. Its output feeds the gate outside them. Drawing them the other way round reverses the logic and is the most common mistake.
Question
Which two Boolean rules save the most gates?
Answer
A + A·B = A, which drops a whole term when A alone is already enough, and A·(B + C) = A·B + A·C, which lets you factor out what is common. A repeated letter is the clue to look for.
Question
How do you check that a simplification is correct?
Answer
Build the truth table for the original expression and for the simplified one. Every row must match. This catches nearly every error, and a shorter expression is never proof on its own.
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Full study notes for Logic diagrams
Topic 1.2 hub
Data representation and logic
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Computer Science exam skills
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