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Numeral system converter
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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

1000 (decimal) is equal to:

Common bases

Numeral systemBaseValue
binary21111101000
octal81750
decimal101000
hexadecimal163e8

All bases

Numeral systemBaseValue
binary21111101000
ternary31101001
quaternary433220
quinary513000
senary64344
septenary72626
octal81750
nonary91331
decimal101000
undecimal1182a
duodecimal126b4
tridecimal135bc
tetradecimal14516
pentadecimal1546a
hexadecimal163e8
base-171737e
octodecimal1831a
base-19192ec
vigesimal202a0
base-212125d
base-222221a
trivigesimal231kb
tetravigesimal241hg
base-25251f0
hexavigesimal261cc
heptavigesimal271a1
base-282817k
base-292915e
trigesimal3013a
base-3131118
duotrigesimal32v8
tritrigesimal33ua
base-3434te
base-3535sk
hexatrigesimal36rs
base-3737r1
base-3838qc
base-3939pp
quadragesimal40p0
base-4141og
base-4242ny
base-4343nb
base-4444mw
base-4545ma
base-4646ly
base-4747ld
base-4848kE
base-4949kk
base-5050k0
base-5151jv
duoquinquagesimal52jc
base-5353iK
base-5454is
base-5555ia
hexaquinquagesimal56hM
heptaquinquagesimal57hv
octoquinquagesimal58he
base-5959gU
sexagesimal60gE
unsexagesimal61go
duosexagesimal62g8

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.
    ...d3d2d1d0(b)=...(d3×b3)+(d2×b2)+(d1×b1)+(d0×b0){...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:
    1234‾(10)=(1‾×103)+(2‾×102)+(3‾×101)+(4‾×100)\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.

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