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boolean logic diagrams

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10 boolean logic

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问题

What is Boolean logic?

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闪卡 1

问题

What is Boolean logic?

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答案

Boolean logic is used in computer science and electronics to make logical decisions using values that are either TRUE or FALSE (often represented as 1 or 0).

闪卡 2

问题

logic gates

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答案

Logic gates are a visual way of representing a Boolean expression.

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问题

AND gate

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答案

The AND gate returns TRUE only if both inputs are TRUE, otherwise it returns FALSE.

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问题

OR gate

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答案

The OR gate returns TRUE if either input is TRUE, it returns FALSE only if both inputs are FALSE.

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问题

NOT gate

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答案

The NOT gate reverses the input value - NOT TRUE = FALSE, NOT FALSE = TRUE.

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问题

What is a truth table?

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答案

A truth table is a tool used to visualise the results of Boolean expressions by representing all possible inputs and associated outputs.

闪卡 7

问题

True or False? In the exam, any valid notation can be used for Boolean expressions.

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答案

True. In the exam, any valid notation can be used in Boolean expression questions like T/F, 1/0, V for OR, etc.

闪卡 8

问题

State the truth table for the AND gate.

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闪卡 9

问题

State the truth table for the OR gate.

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闪卡 10

问题

State the truth table for the NOT gate.

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闪卡 11

问题

Why are Boolean operators combined?

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答案

Boolean operators are combined to produce more complex expressions called logic expressions, using brackets to clarify the order of operations.

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问题

Logic diagram

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答案

A logic diagram is a visual representation of combinations of Boolean operators within a logic circuit.

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问题

What is the purpose of a truth table?

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答案

A truth table is used to visualise the results of Boolean expressions by representing all possible inputs and associated outputs.

闪卡 14

问题

State the meaning of the expression: Q = NOT(A OR B)

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答案

The expression Q = NOT(A OR B) means Q is the output of a NOT gate, which takes the output of an OR gate with inputs A and B.

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问题

True or False? In the exam, logic circuits may have a maximum of 3 inputs and 1 output.

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答案

True. In the exam, logic circuits will be limited to a maximum of 3 inputs and 1 output.

闪卡 16

问题

True or False? P = (A OR B) IF NOT C is an example of combining Boolean operators

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答案

False. P = (A OR B) IF NOT C is NOT an example of combining Boolean operators. IF is not a valid Boolean operator

闪卡 17

问题

How many rows are needed for a truth table with 3 inputs?

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答案

For a truth table with 3 inputs (A, B, C), 8 rows are needed (2^3 = 8).

闪卡 18

问题

What notation is typically used in truth tables?

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答案

Truth tables typically use 1 for TRUE and 0 for FALSE values.