Learning objective
Number base: Be familiar with the concept of a number base, in particular: • decimal (base 10) • binary (base 2) • hexadecimal (base 16). Students should be familiar with expressing a number’s base using a subscript as follows: Base 10: Number10, eg 6710 Base 2: Number2, eg 100110112 Base 16: Number16, eg AE16 Convert between decimal, binary and hexadecimal number bases. Be familiar with, and able to use, hexadecimal as a shorthand for binary and to understand why it is used in this way.
Read the explanation, check the common trap, then practise with flashcards and questions.
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Topic
Number bases
Subtopic
Number base
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Quick explanation
Number base: Be familiar with the concept of a number base, in particular: • decimal (base 10) • binary (base 2) • hexadecimal (base 16). Students should be familiar with expressing a number’s base using a subscript as follows: Base 10: Number10, eg 6710 Base 2: Number2, eg 100110112 Base 16: Number16, eg AE16 Convert between decimal, binary and hexadecimal number bases. Be familiar with, and able to use, hexadecimal as a shorthand for binary and to understand why it is used in this way
- This point belongs to Number bases, especially Number base.
- You need to be able to number base: Be familiar with the concept of a number base, in particular: • decimal (base 10) • binary (base 2) • hexadecimal (base 16). Students should be familiar with expressing a number’s base using a subscript as follows: Base 10: Number10, eg 6710 Base 2: Number2, eg 100110112 Base 16: Number16, eg AE16 Convert between decimal, binary and hexadecimal number bases. Be familiar with, and able to use, hexadecimal as a shorthand for binary and to understand why it is used in this way.
- Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.
Why it matters
This objective helps connect Number base to exam-style questions, flashcards, and revision notes for Number bases.
Quick student answer
Which statement correctly describes a number base?
Direct answer
It specifies the number of digits available and the place-value system used
Key terms
- Number base: The number of distinct digits, including zero, used in a positional number system and the place-value system associated with them.
- Hexadecimal: A base-16 number system using the symbols 0 to 9 and A to F, commonly used as a compact shorthand for binary.
Common trap
Using the wrong number of binary bits for a hexadecimal digit: Use exactly four binary digits for every hexadecimal digit and remember that A to F represent decimal values 10 to 15.
Related questions
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Flashcard prompts
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