Base-36 Hexatridecimal Radix Converter

Number-Base Radix Converter

How To Use This Converter Type a number in any of the Number-Base Radix input fields and press Enter or Return on your keyboard or keypad. The other Number-Base Radix fields will show the number you entered, converted to the other radixes.   TIP: Entry Errors If the data you type into any Base field contains disallowed symbols for that field, the converter will notify you. In that case, simply re-type valid data in the field of your choice and press Enter or Return.   TIP: Copy and Paste You can Copy and Paste any of the fields by selecting the text in the field, then pressing Control-C to copy, and Control-V to paste.

Radix-10

Decimal or Radix-10 Number System Decimal is a Radix-10 positional notation number system. Radix-10 or Base-10 means that each Decimal "digit" represents a multiple of increasing powers of 10, from right to left, such as: ... 10³, 10², 10¹, 10⁰ The valid Decimal symbols are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 For example, the Decimal number 927 represents the following numerical expression: (9 x 10²) + (2 x 10¹) + (7 x 10⁰) History of the Decimal Number System The modern Decimal number system, known as the Hindu-Arabic number system, originated in India around the 9th century CE. The system spread to the western world during the Middle Ages (1000 to 1300 CE) as a result of trade. Some scholars attribute the first documented use of a Decimal system to China in the 1st century BCE.

Radix-36

Hexatridecimal or Radix-36 Number System Hexatridecimal is a Radix-36 positional notation number system.   Radix-36 or Base-36 means that each Hexatridecimal "digit" represents a multiple of increasing powers of 36, from right to left, such as: ... 36³, 36², 36¹, 36⁰ The valid Hexatridecimal symbols are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z Where:   A=10, B=11, C=12, D=13, E=14, F=15, G=16, H=17, I=18, J=19, K=20, L=21, M=22, N=23, O=24, P=25, Q=26, R=27, S=28, T=29, U=30, V=31, W=32, X=33, Y=34, Z=35 For example, the Hexatridecimal number ZYX represents the number 46617 in the Decimal number system, like so: (35 x 36²) + (34 x 36¹) + (33 x 36⁰) Applications of Hexatridecimal Systems From the perspective of mathematics, 36 is a convenient base for a number system because 36 is divisible by the two smallest prime numbers (2 and 3), and by their multiples 4, 6, 9, 12 and 18. There are many modern computer applications of base-36 systems, generally to encode Decimal numeric information in a more compact form, for later transmission over a network or for storage or both.