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 !

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.

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

Numeral system

1000 (decimal) is equal to:

Common bases

Numeral systemBaseValue
binary
2
1111101000
octal
8
1750
decimal
10
1000
hexadecimal
16
3e8

All bases

Numeral systemBaseValue
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.
    ...d3d2d1d0(b) = ...d3×b3 + d2×b2 + d1×b1 + d0×b0

  • ⓘ Example: Decimal number 1234 means:
    1234(10) = 1×103 + 2×102 + 3×101 + 4×100

  • 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.

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