Numeral system converter
Numeral system converter - converts numbers from one number base to another. Calculator supports popular number bases such as decimal (10), hexadecimal (16), binary (2), but also more exotic like ternmary (3), hexavigesimal (26) or duosexagesimal (62).

# Beta version

BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !

# Inputs data - value and unit, which we're going to convert

 Numeral system binary [2]octal [8]decimal [10]hexadecimal [16]binary [2]ternary [3]quaternary [4]quinary [5]senary [6]septenary [7]octal [8]nonary [9]decimal [10]undecimal [11]duodecimal [12]tridecimal [13]tetradecimal [14]pentadecimal [15]hexadecimal [16]base-17 [17]octodecimal [18]base-19 [19]vigesimal [20]base-21 [21]base-22 [22]trivigesimal [23]tetravigesimal [24]base-25 [25]hexavigesimal [26]heptavigesimal [27]base-28 [28]base-29 [29]trigesimal [30]base-31 [31]duotrigesimal [32]tritrigesimal [33]base-34 [34]base-35 [35]hexatrigesimal [36]base-37 [37]base-38 [38]base-39 [39]quadragesimal [40]base-41 [41]base-42 [42]base-43 [43]base-44 [44]base-45 [45]base-46 [46]base-47 [47]base-48 [48]base-49 [49]base-50 [50]base-51 [51]duoquinquagesimal [52]base-53 [53]base-54 [54]base-55 [55]hexaquinquagesimal [56]heptaquinquagesimal [57]octoquinquagesimal [58]base-59 [59]sexagesimal [60]unsexagesimal [61]duosexagesimal [62] 012345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364

# Common bases

 Numeral system Base Value binary 2 1111101000 octal 8 1750 decimal 10 1000 hexadecimal 16 3e8

# All bases

 Numeral system Base Value binary 2 1111101000 ternary 3 1101001 quaternary 4 33220 quinary 5 13000 senary 6 4344 septenary 7 2626 octal 8 1750 nonary 9 1331 decimal 10 1000 undecimal 11 82a duodecimal 12 6b4 tridecimal 13 5bc tetradecimal 14 516 pentadecimal 15 46a hexadecimal 16 3e8 base-17 17 37e octodecimal 18 31a base-19 19 2ec vigesimal 20 2a0 base-21 21 25d base-22 22 21a trivigesimal 23 1kb tetravigesimal 24 1hg base-25 25 1f0 hexavigesimal 26 1cc heptavigesimal 27 1a1 base-28 28 17k base-29 29 15e trigesimal 30 13a base-31 31 118 duotrigesimal 32 v8 tritrigesimal 33 ua base-34 34 te base-35 35 sk hexatrigesimal 36 rs base-37 37 r1 base-38 38 qc base-39 39 pp quadragesimal 40 p0 base-41 41 og base-42 42 ny base-43 43 nb base-44 44 mw base-45 45 ma base-46 46 ly base-47 47 ld base-48 48 kE base-49 49 kk base-50 50 k0 base-51 51 jv duoquinquagesimal 52 jc base-53 53 iK base-54 54 is base-55 55 ia hexaquinquagesimal 56 hM heptaquinquagesimal 57 hv octoquinquagesimal 58 he base-59 59 gU sexagesimal 60 gE unsexagesimal 61 go duosexagesimal 62 g8

# Some facts

• To write a number in the position system with the basis b, we must present it as a serie containing powers of this base.
${...d_3 d_2 d_1 d_0}_{(b)} = ...(d_3 \times b^3) + (d_2 \times b^2) + (d_1 \times b^1) + (d_0 \times b^0)$
• ⓘ Example: Decimal number 1234 means:
$\underline{\bold{1234}}_{(10)} = (\underline{\bold{1}} \times 10^3) + (\underline{\bold{2}} \times 10^2) + (\underline{\bold{3}} \times 10^1) + (\underline{\bold{4}} \times 10^0)$
• The coefficients for the next base powers are called digits.
• The digit that has the least effect on the value of the number (located at the lowest power) is called the least significant digit. By analogy, the digit whose change most affects the value of the whole number is called the most significant digit.
• It is assumed that we write digits from the most to the least significant order. It means that the most significant digit is on the left hand side and the least significant digit is on the right hand side.
ⓘ Example: Let's get hexadecimal number 12ef(16). The most significant digit is 1, and the least significant one is f.

# Tips & tricks

• Sometimes a number that has an infinite expansion in one system (i.e. it can't be written using a finite number of digits) has a finite expansion in another one. For example, the number 1/3 is the 0.33333333333... (never ending 3333...) in decimal system, but just simple 0.1 in ternary (base 3) one. So the expansion of 1/3 is finite in ternary system.

# How to convert

• Enter the number to field "value" - enter the NUMBER only, no other words, symbols or unit names. You can use dot (.) or comma (,) to enter fractions.
Examples:
• 1000000
• 123,23
• 999.99999
• Find and select your starting unit in field "unit". Some unit calculators have huge number of different units to select from - it's just how complicated our world is...
• And... you got the result in the table below. You'll find several results for many different units - we show you all results we know at once. Just find the one you're looking for.

# Tags and links to this website

Tags:
Tags to Polish version: