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Number bases

Official AQA 7517 section 4.5.2.

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36 min

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AqaA LevelComputer ScienceFundamentals of data representation

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Number base1 objectives

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.

Number baseHexadecimal

Label the base clearly: Write the base as a subscript whenever you give or use a number, such as 1011₂, 11₁₀ or B₁₆.

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.

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