Base 3 to base 7 conversion

Base 3 to base 7 converter lets you convert number system between base 3 to base 7 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 7?

1
1 base 3 = 1 base 7

Calculation steps

To convert 1 in base 3 to base 7, 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 7.

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 7

Conversion from base 10 to base 7 can be done by dividing the number by 7 until the quotient is zero. The steps can be shown in the following table.

#Number divides 7QuotientRemaining
11 divides 701

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 7 as 1.

Base 3 to base 7 conversions table

Here is a conversions table comparing the relationship between base 3 and base 7 by using 1 - 100 in base 10 as starting numbers.

Base 3Base 7
11
22
103
114
125
206
2110
2211
10012
10113
10214
11015
11116
11220
12021
12122
12223
20024
20125
20226
21030
21131
21232
22033
22134
22235
100036
100140
100241
101042
101143
101244
102045
102146
102250
110051
110152
110253
111054
111155
111256
112060
112161
112262
120063
120164
120265
121066
1211100
1212101
1220102
1221103
1222104
2000105
2001106
2002110
2010111
2011112
2012113
2020114
2021115
2022116
2100120
2101121
2102122
2110123
2111124
2112125
2120126
2121130
2122131
2200132
2201133
2202134
2210135
2211136
2212140
2220141
2221142
2222143
10000144
10001145
10002146
10010150
10011151
10012152
10020153
10021154
10022155
10100156
10101160
10102161
10110162
10111163
10112164
10120165
10121166
10122200
10200201
10201202

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