Flashcards · 2210 · Topic 10

Boolean logic flashcards

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Name the six logic gates on the 2210 syllabus: NOT, AND, OR, NAND, NOR and XOR.
Truth table for AND and OR (A, B → AND, OR): 0, 0 → 0, 0 0, 1 → 0, 1 1, 0 → 0, 1 1, 1 → 1, 1
Truth table for NOR (A, B → X): 0, 0 → 1 0, 1 → 0 1, 0 → 0 1, 1 → 0
What does XOR mean?: Exclusive OR: the output is 1 when one input or the other is 1, but not both.
How is a NAND gate related to an AND gate?: NAND is NOT AND: its output is the AND output inverted, so it is 0 only when both inputs are 1. The small circle on its symbol shows the inversion.
How many rows does a truth table for three inputs need?: 8 (2³), listed in binary order from 000 to 111.
Write XOR using only AND, OR and NOT: X = (A AND NOT B) OR (NOT A AND B).
Write a logic expression: alarm S sounds when door D is open and keypad K is not unlocked, or panic button P is pressed: S = (D AND NOT K) OR P.
What is the maximum number of inputs in a 2210 logic circuit?: Three inputs and one output.