Senary to Vigesimal Converter

Type a senary number to see it in vigesimal. Below: how the conversion works, a worked example and a conversion table.

1103 senary = CF vigesimal

How to convert senary to vigesimal

Go through decimal: first multiply each digit by 6 raised to the power of its position (counting from 0 on the right) and add the results; then divide the number by 20 again and again and write down the remainders; read in reverse order, the remainders are the vigesimal digits.

Example: 1103 to vigesimal

Step 1: Senary to decimal

Multiply each digit by 6 to the power of its position (0 on the right), then add:

DigitPlace valueDigit × place
163 = 216216
162 = 3636
061 = 60
360 = 13

216 + 36 + 0 + 3 = 255

Step 2: Decimal to vigesimal

Divide by 20 repeatedly and keep the remainders. Reading the remainders from the last one to the first gives the vigesimal digits:

DivisionQuotientRemainder (digit)
255 ÷ 2012F (15)
12 ÷ 200C (12)

Result: 255 = CF in vigesimal.

Senary to Vigesimal table

SenaryVigesimal
0 0
1 1
2 2
3 3
4 4
5 5
10 6
11 7
12 8
13 9
14 A
15 B
20 C
21 D
22 E
23 F
24 G
25 H
30 I
31 J
32 10
33 11
34 12
35 13
40 14
41 15
42 16
43 17
44 18
45 19
50 1A
51 1B

Reverse conversion

Frequently asked questions

How do you convert senary to vigesimal?

Go through decimal: first multiply each digit by 6 raised to the power of its position (counting from 0 on the right) and add the results; then divide the number by 20 again and again and write down the remainders; read in reverse order, the remainders are the vigesimal digits.

What is 1103 in vigesimal?

1103 in senary is CF in vigesimal.