Base 6 to base 3 conversion
Base 6 to base 3 converter lets you convert number system between base 6 to base 3 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 6 to base 3?
Calculation steps
To convert 1 in base 6 to base 3, take the following steps.
- Convert 1 from base 6 to base 10.
- Convert result of the previous step from base 10 to base 3.
Step 1: convert 1 from base 6 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 6n | Cumulative sum |
---|---|---|---|
0 | 1 | 1 x 60 | 1 |
From the table above, it can be written as a conversion formula as:
(1 × 60)
Then calculate the sum of all the cumulative sums we get:
1 = 1
Step 2: convert from base 10 to base 3
Conversion from base 10 to base 3 can be done by dividing the number by 3 until the quotient is zero. The steps can be shown in the following table.
# | Number divides 3 | Quotient | Remaining |
---|---|---|---|
1 | 1 divides 3 | 0 | 1 |
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 6 can to converted to base 3 as 1.
Base 6 to base 3 conversions table
Here is a conversions table comparing the relationship between base 6 and base 3 by using 1 - 100 in base 10 as starting numbers.
Base 6 | Base 3 |
---|---|
1 | 1 |
2 | 2 |
3 | 10 |
4 | 11 |
5 | 12 |
10 | 20 |
11 | 21 |
12 | 22 |
13 | 100 |
14 | 101 |
15 | 102 |
20 | 110 |
21 | 111 |
22 | 112 |
23 | 120 |
24 | 121 |
25 | 122 |
30 | 200 |
31 | 201 |
32 | 202 |
33 | 210 |
34 | 211 |
35 | 212 |
40 | 220 |
41 | 221 |
42 | 222 |
43 | 1000 |
44 | 1001 |
45 | 1002 |
50 | 1010 |
51 | 1011 |
52 | 1012 |
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