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Year 8 · Computing · Binary and data · Lesson 1

Binary numbers

Binary numbers: why computers use 0s and 1s, binary place values, converting binary to denary, and bits, nibbles and bytes.

Whiteboard video lesson: Binary numbers

21-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

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What your child will learn

  • Explain why computers use binary
  • Write the 8-bit place values
  • Convert binary to denary
  • Know bits, nibbles and bytes
  • Find the largest value for a number of bits

The method

  1. Write the place values 128 to 1.
  2. Write the bits underneath, lined up on the right.
  3. Circle the place values with a 1.
  4. Add them up.

Key words: binary, denary, bit, nibble, byte, place value, transistor.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

What two digits does binary use?

  1. Step 1: Base 2

Answer: 0 and 1

Question 2

What is denary?

  1. Step 1: Our normal number system: base 10

Answer: Base 10, the normal number system (digits 0 to 9)

Question 3

Convert 0101 to denary.

  1. Step 1: Place values: 8 4 2 1
  2. Step 2: 4 + 1 = 5

Answer: 5