Base 23 to base 13 conversion

Base 23 to base 13 converter lets you convert number system between base 23 to base 13 and will give you the result with calculation steps and it also supports decimal numbers. Enter your number and choose bases below to start a conversion.

Result

How to convert 1 in base 23 to base 13?

1
1 base 23 = 1 base 13

Calculation steps

To convert 1 in base 23 to base 13, take the following steps.

  1. Convert 1 from base 23 to base 10.
  2. Convert result of the previous step from base 10 to base 13.

Step 1: convert 1 from base 23 to base 10

To start the calculation, let d is the number in each digit and n is the exponent of the number in that digit. Therefore, the steps can be shown in the following table.

Exponent (n)Digit (d)d x 23nCumulative sum
011 x 2301

From the table above, it can be written as a conversion formula as:
(1 × 230)

Then calculate the sum of all the cumulative sums we get:
1 = 1

Step 2: convert from base 10 to base 13

Conversion from base 10 to base 13 can be done by dividing the number by 13 until the quotient is zero. The steps can be shown in the following table.

#Number divides 13QuotientRemaining
11 divides 1301

When the division is complete, connect all the remainders of the division. Starting from the bottom of the table we get 1.

Therefore, 1 in base 23 can to converted to base 13 as 1.

Base 23 to base 13 conversions table

Here is a conversions table comparing the relationship between base 23 and base 13 by using 1 - 100 in base 10 as starting numbers.

Base 23Base 13
11
22
33
44
55
66
77
88
99
AA
BB
CC
D10
E11
F12
G13
H14
I15
J16
K17
L18
M19
101A
111B
121C
1320
1421
1522
1623
1724
1825
1926
1A27
1B28
1C29
1D2A
1E2B
1F2C
1G30
1H31
1I32
1J33
1K34
1L35
1M36
2037
2138
2239
233A
243B
253C
2640
2741
2842
2943
2A44
2B45
2C46
2D47
2E48
2F49
2G4A
2H4B
2I4C
2J50
2K51
2L52
2M53
3054
3155
3256
3357
3458
3559
365A
375B
385C
3960
3A61
3B62
3C63
3D64
3E65
3F66
3G67
3H68
3I69
3J6A
3K6B
3L6C
3M70
4071
4172
4273
4374
4475
4576
4677
4778
4879

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