Math Tools Math Tools

Base 4 to Base 13

Base 4 to Base 13 Converter

Enter a number in base 4 below to convert it to base 13 instantly.

Advertisement

About These Bases

Base 4

In base 4, each digit position represents a power of 4: the rightmost digit counts individual ones, the next counts groups of 4, the next counts groups of 4×4, and so on — the same place-value idea as base 10, just with 4 distinct digits instead of ten.

Base 13

Base 13 works the same way: the rightmost digit counts ones, the next counts groups of 13, the next counts groups of 13×13, and so on, using 13 distinct digits.

Advertisement

Quick Reference Table
Base 10 Base 4 Base 13
1 1 1
2 2 2
3 3 3
4 10 4
5 11 5
6 12 6
7 13 7
8 20 8
9 21 9
10 22 A
11 23 B
12 30 C
13 31 10
14 32 11
15 33 12
16 100 13
17 101 14
18 102 15
19 103 16
20 110 17
21 111 18
22 112 19
23 113 1A
24 120 1B
25 121 1C
26 122 20
27 123 21
28 130 22
29 131 23
30 132 24
31 133 25
32 200 26
33 201 27
34 202 28
35 203 29
36 210 2A
37 211 2B
38 212 2C
39 213 30
40 220 31
41 221 32
42 222 33
43 223 34
44 230 35
45 231 36
46 232 37
47 233 38
48 300 39
49 301 3A
50 302 3B
51 303 3C
52 310 40
53 311 41
54 312 42
55 313 43
56 320 44
57 321 45
58 322 46
59 323 47
60 330 48
61 331 49
62 332 4A
63 333 4B
64 1000 4C
70 1012 55
80 1100 62
90 1122 6C
100 1210 79
200 3020 125
300 10230 1A1
400 12100 24A
500 13310 2C6
600 21120 372
700 22330 41B
800 30200 497
900 32010 543
1000 33220 5BC

View this as a standalone, printable table

Related Base Conversion Calculators

Related pages

Advertisement