Memory & StorageKey Facts

Hexadecimal to Denary Conversion

Part of Binary & Hex — GCSE Computer Science

This key facts covers Hexadecimal to Denary Conversion within Binary & Hex for GCSE Computer Science. Revise Binary & Hex in Memory & Storage for GCSE Computer Science with 15 exam-style questions and 22 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 10 of 14 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 10 of 14

Practice

15 questions

Recall

22 flashcards

Hexadecimal to Denary Conversion

Method: Multiply place values (16¹, 16⁰)

Example 1: Convert 3F to denary

  Place values:  16¹   16⁰
                 16    1
  Hex:           3     F
  
  3F = (3 × 16) + (15 × 1)
     = 48 + 15
     = 63 (denary)

Example 2: Convert 2A5 to denary

  Place values:  16²   16¹   16⁰
                 256   16    1
  Hex:           2     A     5
  
  2A5 = (2 × 256) + (10 × 16) + (5 × 1)
      = 512 + 160 + 5
      = 677 (denary)

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

Hexadecimal to Denary Conversion

Hexadecimal to Denary Conversion

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Practice Questions for Binary & Hex

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