Discussion
In which numbering system can the binary number 1011011111000101 be easily converted to?
Answer: B
Correct answer: Hexadecimal system
Sixteen is a power of two, so each hexadecimal digit corresponds to exactly four binary digits and the conversion is a matter of grouping rather than of arithmetic.
Splitting the number from the right gives 1011 0111 1100 0101, which reads directly as B7C5. Octal shares the property with groups of three bits, but sixteen bits divide evenly into four hexadecimal digits and not into whole octal ones, which is why hex is the convention for byte-oriented data. Decimal is a power of ten and requires repeated division.
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