Base 3 to base 13 conversion

Base 3 to base 13 converter lets you convert number system between base 3 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 3 to base 13?

1
1 base 3 = 1 base 13

Calculation steps

To convert 1 in base 3 to base 13, take the following steps.

  1. Convert 1 from base 3 to base 10.
  2. Convert result of the previous step from base 10 to base 13.

Step 1: convert 1 from base 3 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 3nCumulative sum
01 1 x 301

From the table above, it can be written as a conversion formula as:
(1 × 30)

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 3 can to converted to base 13 as 1.

Base 3 to base 13 conversions table

Here is a conversions table comparing the relationship between base 3 and base 13 by using 1 - 100 in base 10 as starting numbers.

Base 3Base 13
11
22
103
114
125
206
217
228
1009
101A
102B
110C
11110
11211
12012
12113
12214
20015
20116
20217
21018
21119
2121A
2201B
2211C
22220
100021
100122
100223
101024
101125
101226
102027
102128
102229
11002A
11012B
11022C
111030
111131
111232
112033
112134
112235
120036
120137
120238
121039
12113A
12123B
12203C
122140
122241
200042
200143
200244
201045
201146
201247
202048
202149
20224A
21004B
21014C
210250
211051
211152
211253
212054
212155
212256
220057
220158
220259
22105A
22115B
22125C
222060
222161
222262
1000063
1000164
1000265
1001066
1001167
1001268
1002069
100216A
100226B
101006C
1010170
1010271
1011072
1011173
1011274
1012075
1012176
1012277
1020078
1020179

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