This key facts covers Binary to Denary 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 7 of 15 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Binary to Denary Conversion
Method: Add up place values where there's a 1
Example 1: Convert 11010110 to denary
Place values: 128 64 32 16 8 4 2 1 Binary: 1 1 0 1 0 1 1 0 Add where there's a 1: 128 + 64 + 16 + 4 + 2 = 214 (denary)
Example 2: Convert 10101 to denary
Place values: 16 8 4 2 1 Binary: 1 0 1 0 1 16 + 4 + 1 = 21 (denary)
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.