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The tetradecimal (base-14) positional notation system is based on the number fourteen. Comparatively, the decimal system is based on the number ten, the hexadecimal system is based on the number sixteen, and so on. Other names used for the base-14 system include quadrodecimal and quattuordecimal (although these terms can be confused with quaternary which is a base-4 notation system).
Tetradecimal requires fourteen symbols. Since there are only ten common decimal digits, the notation can be extended by using letters A, B, C and D to represent values 10, 11, 12 and 13, respectively. For example, decimal values 0 to 20 in tetradecimal would be: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, 10, 11, 12, 13, 14, 15, 16. The tetradecimal number 373 would be 689 in decimal.
Understanding the tetradecimal system can be difficult. Example: Starting with 100 (base 10), tetradecimal representations of decimal numbers are:
Base 10=Base 14
100 = 72
99 = 71
98 = 70
97 = 6D
this is the sixth cycle of the tetradecimal system, and it has come to the 'Dth' term.
6D = 6×14+D = 6×14+13 = 84+13 = 97
This numeric base seldom is used. It finds applications in mathematics as well as fields such as programming for the HP 9100A/B calculator, image processing applications and other specialized uses.
Base 14 is a close analogue of base 10 (decimal) in many ways, as both 14 and 10 are small semiprimes.
- The First 1000 Counting Numbers in Base 14- Hamid N. Yeganeh