Base 8 to base 13 conversion

Base 8 to base 13 converter lets you convert number system between base 8 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 8 to base 13?

1
1 base 8 = 1 base 13

Calculation steps

To convert 1 in base 8 to base 13, take the following steps.

  1. Convert 1 from base 8 to base 10.
  2. Convert result of the previous step from base 10 to base 13.

Step 1: convert 1 from base 8 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 8nCumulative sum
011 x 801

From the table above, it can be written as a conversion formula as:
(1 × 80)

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 8 can to converted to base 13 as 1.

Base 8 to base 13 conversions table

Here is a conversions table comparing the relationship between base 8 and base 13 by using 1 - 100 in base 10 as starting numbers.

Base 8Base 13
11
22
33
44
55
66
77
108
119
12A
13B
14C
1510
1611
1712
2013
2114
2215
2316
2417
2518
2619
271A
301B
311C
3220
3321
3422
3523
3624
3725
4026
4127
4228
4329
442A
452B
462C
4730
5031
5132
5233
5334
5435
5536
5637
5738
6039
613A
623B
633C
6440
6541
6642
6743
7044
7145
7246
7347
7448
7549
764A
774B
1004C
10150
10251
10352
10453
10554
10655
10756
11057
11158
11259
1135A
1145B
1155C
11660
11761
12062
12163
12264
12365
12466
12567
12668
12769
1306A
1316B
1326C
13370
13471
13572
13673
13774
14075
14176
14277
14378
14479

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