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Boolean Logic and Simplification

  • 7 subtopics
  • 21 things to know
  • Component 1

What Boolean Logic and Simplification covers

Boolean Logic and Simplification is examined in Component 1, Programming and System Development. It covers AND, OR and NOT truth tables, XOR, NAND and NOR truth tables, truth tables for combined Boolean expressions, boolean identities and rules, de Morgan's laws, simplifying Boolean expressions and logical operators in programs, masking and encryption.

Where it is assessed

Component 1

Programming and System Development.

Check the Eduqas specification ↗

The 7 subtopics

Each one has its own page.

What you need to know

Answer each one before you reveal it.

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Key term

How does the number of rows in a truth table follow from the number of inputs, and what does AND output?

Key term

How are OR and NOT written in Boolean algebra?

Key term

Describe the output of an XOR operation.

Key term

How is a truth table built for a compound expression?

Key term

State the identity law for OR with 0.

Key term

State De Morgan's first law.

Key term

Why is a Boolean expression simplified?

Key term

How is AND used in a program condition?

Key term

Describe the output of a NAND operation.

Numbers

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

Key term

State the identity law for AND with 1.

Key term

State De Morgan's second law.

Key term

Simplify A.B + A.NOT B.

Key term

How is OR used in a program condition?

Key term

What is a truth table?

Key term

Describe the output of a NOR operation.

Key term

Why are intermediate columns useful in a truth table?

Key term

State the null law for AND with 0.

Process

Describe the procedure for applying De Morgan's laws.

Key term

Simplify A + A.B.

Key term

How is NOT used in a program condition?

Take Boolean Logic and Simplification further

The same content, four other ways.

Commonly confused

Pairs that lose marks when they are blurred together.

  • NAND vs AND

    NAND: true except when both inputs are true. AND: true only when both inputs are true.

  • AND masking vs OR masking

    AND masking: clearing the chosen bits by combining them with 0. OR masking: setting the chosen bits by combining them with 1.

  • Logical addition vs Arithmetic addition

    Logical addition: an operation in which 1 combined with 1 gives 1. Arithmetic addition: an operation in which 1 combined with 1 gives 10.

Questions from this topic

Each one with the model answer underneath.

  1. 1

    What is a truth table?

    Model answer

    A truth table lists every possible combination of input values together with the resulting output. The table defines a logical operation completely.

  2. 2

    How many rows does a truth table with three inputs need?

    Model answer

    A truth table with three inputs needs 8 rows. The number of rows is 2ⁿ for n inputs.

  3. 3

    Describe the output of an AND operation.

    Model answer

    An AND operation gives 1 only when both inputs are 1. Every other combination of inputs gives 0.

  4. 4

    Describe the output of an OR operation.

    Model answer

    An OR operation gives 1 when at least one input is 1. Only two zero inputs give an output of 0.

  5. 5

    Describe the output of a NOT operation.

    Model answer

    A NOT operation inverts its single input. An input of 1 gives 0 and an input of 0 gives 1.

  6. 6

    Give the AND truth table in words.

    Model answer

    The AND outputs are 0, 0, 0 and 1 for the input pairs 00, 01, 10 and 11. Only the last row gives an output of 1.

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Data Structures: Arrays, Records and Hash Tables
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Boolean Logic and Simplification
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Boolean Logic and Simplification revision questions

What does Boolean Logic and Simplification cover in Eduqas A-Level Computer Science?
7 subtopics: and, or and not truth tables, xor, nand and nor truth tables, truth tables for combined boolean expressions, boolean identities and rules, de morgan's laws, simplifying boolean expressions and logical operators in programs, masking and encryption. Each one has its own page with questions and model answers.
How is Boolean Logic and Simplification organised?
By the Eduqas A500QS specification, subtopic by subtopic, so it matches the order you are taught it in.

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