This key facts covers Denary to Hexadecimal Conversion 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 9 of 15 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Denary to Hexadecimal Conversion
Method: Repeated Division by 16
Example: Convert 195 to hexadecimal
195 ÷ 16 = 12 remainder 3 12 ÷ 16 = 0 remainder 12 (C in hex) Read from bottom to top: C3 Answer: 195 (denary) = C3 (hex) Check: (12 × 16) + 3 = 192 + 3 = 195 ✓
Example 2: Convert 255 to hexadecimal
255 ÷ 16 = 15 remainder 15 15 ÷ 16 = 0 remainder 15 15 in hex = F, so: FF Answer: 255 (denary) = FF (hex)
Practice questions for Binary & Hex
Which of the following correctly describes the hexadecimal number system?
Explain why hexadecimal is used instead of binary when programmers write memory addresses and colour codes. Give three reasons.