Base 3 to base 6 conversion

Base 3 to base 6 converter lets you convert number system between base 3 to base 6 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 6?

1
1 base 3 = 1 base 6

Calculation steps

To convert 1 in base 3 to base 6, 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 6.

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 6

Conversion from base 10 to base 6 can be done by dividing the number by 6 until the quotient is zero. The steps can be shown in the following table.

#Number divides 6QuotientRemaining
11 divides 601

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 6 as 1.

Base 3 to base 6 conversions table

Here is a conversions table comparing the relationship between base 3 and base 6 by using 1 - 100 in base 10 as starting numbers.

Base 3Base 6
11
22
103
114
125
2010
2111
2212
10013
10114
10215
11020
11121
11222
12023
12124
12225
20030
20131
20232
21033
21134
21235
22040
22141
22242
100043
100144
100245
101050
101151
101252
102053
102154
102255
1100100
1101101
1102102
1110103
1111104
1112105
1120110
1121111
1122112
1200113
1201114
1202115
1210120
1211121
1212122
1220123
1221124
1222125
2000130
2001131
2002132
2010133
2011134
2012135
2020140
2021141
2022142
2100143
2101144
2102145
2110150
2111151
2112152
2120153
2121154
2122155
2200200
2201201
2202202
2210203
2211204
2212205
2220210
2221211
2222212
10000213
10001214
10002215
10010220
10011221
10012222
10020223
10021224
10022225
10100230
10101231
10102232
10110233
10111234
10112235
10120240
10121241
10122242
10200243
10201244

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