Deep Dive: Why Do We Need Different Number Systems?

Part of Binary & Hex · Section 3 of 15

Deep DiveUnit: 3.3 Data RepresentationGCSE

This deep dive covers Deep Dive: Why Do We Need Different Number Systems? within Binary & Hex for GCSE Computer Science. Revise Binary & Hex in 3.3 Data Representation for GCSE Computer Science with 16 exam-style questions and 22 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 3 of 15 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Deep Dive: Why Do We Need Different Number Systems?

The Right Tool for the Right Job

Denary (Base 10): Humans use this naturally because we have 10 fingers. Uses digits 0-9.

Binary (Base 2): Computers use this because transistors have two states: ON (1) or OFF (0). Everything in a computer is ultimately binary - text, images, videos, programs. It's the computer's native language.

Hexadecimal (Base 16): Programmers use this as a compact shorthand for binary. Instead of writing "11111111", you write "FF". Much easier to read and less prone to errors. Uses digits 0-9 and letters A-F.

Practice questions for Binary & Hex

Which of the following correctly describes the hexadecimal number system?

  • A. Base 2, using digits 0 and 1
  • B. Base 8, using digits 0 to 7
  • C. Base 16, using digits 0-9 and letters A-F
  • D. Base 16, using digits 0-9 and letters A-G
1 markfoundation

Explain why hexadecimal is used instead of binary when programmers write memory addresses and colour codes. Give three reasons.

3 marksstandard

Quick recall flashcards

16 questions on Binary & Hex — practise free

Instant marking, adaptive difficulty and spaced-repetition flashcards — all aligned to your exam board.

Start revising free →