The symbols A–F are used as digits in which of the following number systems?
2014
The symbols A–F are used as digits in which of the following number systems?
Answer: C. Hexadecimal number system — ConceptA positional number system has a base (radix). Its available digit symbols represent values from zero up to one less than that base. Systems with a…
- A.
Binary number system
- B.
Decimal number system
- C.
Hexadecimal number system
- D.
Octal number system
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Correct answer: C
Concept
A positional number system has a base (radix).
Its available digit symbols represent values from zero up to one less than that base. Systems with a base greater than ten require extra symbols after 0–9.
Application
The digits 0–9 provide ten symbols.
The letters A, B, C, D, E, and F represent the next six values, 10 through 15.
Together, 0–9 and A–F provide sixteen digit symbols, so the system has base 16.
Cross-check
System | Digit symbols |
|---|---|
Binary | 0–1 |
Octal | 0–7 |
Decimal | 0–9 |
Hexadecimal | 0–9 and A–F |
Therefore, the symbols A–F are used as digits in the hexadecimal number system.