10.1

Boolean logic

10 flashcards to master Boolean logic

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Definition Flip

Define the term 'Boolean' in the context of computer science.

Answer Flip

Boolean refers to a data type that has one of two possible values: true or false. It is fundamental to logic and decision-making within computer systems, forming the basis for Boolean algebra and logic gates.

Key Concept Flip

Explain the function of the 'AND' logical operator. Provide a truth table example.

Answer Flip

The 'AND' operator returns true only if both input conditions are true. Example truth table: True AND True = True, True AND False = False, False AND True = False, False AND False = False.

Key Concept Flip

Explain the function of the 'OR' logical operator. Provide a truth table example.

Answer Flip

The 'OR' operator returns true if at least one of the input conditions is true. Example truth table: True OR True = True, True OR False = True, False OR True = True, False OR False = False.

Key Concept Flip

Describe the effect of the 'NOT' logical operator. Provide a truth table example.

Answer Flip

The 'NOT' operator inverts the input condition. If the input is true, NOT returns false, and if the input is false, NOT returns true.

Example: NOT True = False, NOT False = True.
Key Concept Flip

What is a 'NAND' gate, and how does its output relate to an 'AND' gate?

Answer Flip

A 'NAND' gate is the opposite of an 'AND' gate; its output is only false if all inputs are true. It's essentially an AND gate followed by a NOT gate. NAND is shorthand for NOT AND.

Key Concept Flip

Explain the functionality of a 'NOR' gate and give an example with two inputs.

Answer Flip

A 'NOR' gate outputs true only if both inputs are false. It's the opposite of an OR gate.

Example: if input A is True and input B is False, the output of the NOR gate is False.
Key Concept Flip

Describe the behaviour of an 'XOR' gate. Create a truth table for it.

Answer Flip

An 'XOR' (exclusive OR) gate outputs true only when the inputs are different. Truth table: True XOR True = False, True XOR False = True, False XOR True = True, False XOR False = False.

Definition Flip

What is a truth table used for in Boolean logic?

Answer Flip

A truth table systematically lists all possible combinations of input values and their corresponding output values for a logical expression or gate. It helps in analyzing and understanding the behavior of logic circuits.

Definition Flip

What does it mean to 'simplify' a logic expression, and why is it useful?

Answer Flip

Simplifying a logic expression means rewriting it in a simpler, equivalent form. This is useful because it reduces the number of gates needed in a circuit, leading to lower cost, less power consumption, and faster performance.

Definition Flip

State De Morgan's Laws, and explain how they can be used to simplify Boolean expressions.

Answer Flip

De Morgan's Laws are: 1) NOT (A AND B) = (NOT A) OR (NOT B) and 2) NOT (A OR B) = (NOT A) AND (NOT B). They allow you to transform expressions with negations and help simplify complex logic.

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9.2 SQL

Key Questions: Boolean logic

Define the term 'Boolean' in the context of computer science.

Boolean refers to a data type that has one of two possible values: true or false. It is fundamental to logic and decision-making within computer systems, forming the basis for Boolean algebra and logic gates.

What is a truth table used for in Boolean logic?

A truth table systematically lists all possible combinations of input values and their corresponding output values for a logical expression or gate. It helps in analyzing and understanding the behavior of logic circuits.

What does it mean to 'simplify' a logic expression, and why is it useful?

Simplifying a logic expression means rewriting it in a simpler, equivalent form. This is useful because it reduces the number of gates needed in a circuit, leading to lower cost, less power consumption, and faster performance.

State De Morgan's Laws, and explain how they can be used to simplify Boolean expressions.

De Morgan's Laws are: 1) NOT (A AND B) = (NOT A) OR (NOT B) and 2) NOT (A OR B) = (NOT A) AND (NOT B). They allow you to transform expressions with negations and help simplify complex logic.

About Boolean logic (10.1)

These 10 flashcards cover everything you need to know about Boolean logic for your Cambridge IGCSE Computer Science (0478) exam. Each card is designed based on the official syllabus requirements.

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