Base 4 to base 13 conversion

Base 4 to base 13 converter lets you convert number system between base 4 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 4 to base 13?

1
1 base 4 = 1 base 13

Calculation steps

To convert 1 in base 4 to base 13, take the following steps.

  1. Convert 1 from base 4 to base 10.
  2. Convert result of the previous step from base 10 to base 13.

Step 1: convert 1 from base 4 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 4nCumulative sum
01 1 x 401

From the table above, it can be written as a conversion formula as:
(1 × 40)

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 4 can to converted to base 13 as 1.

Base 4 to base 13 conversions table

Here is a conversions table comparing the relationship between base 4 and base 13 by using 1 - 100 in base 10 as starting numbers.

Base 4Base 13
11
22
33
104
115
126
137
208
219
22A
23B
30C
3110
3211
3312
10013
10114
10215
10316
11017
11118
11219
1131A
1201B
1211C
12220
12321
13022
13123
13224
13325
20026
20127
20228
20329
2102A
2112B
2122C
21330
22031
22132
22233
22334
23035
23136
23237
23338
30039
3013A
3023B
3033C
31040
31141
31242
31343
32044
32145
32246
32347
33048
33149
3324A
3334B
10004C
100150
100251
100352
101053
101154
101255
101356
102057
102158
102259
10235A
10305B
10315C
103260
103361
110062
110163
110264
110365
111066
111167
111268
111369
11206A
11216B
11226C
112370
113071
113172
113273
113374
120075
120176
120277
120378
121079

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