Base 4 to base 7 conversion

Base 4 to base 7 converter lets you convert number system between base 4 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 4 to base 7?

1
1 base 4 = 1 base 7

Calculation steps

To convert 1 in base 4 to base 7, take the following steps.

  1. Convert 1 from base 4 to base 10.
  2. Convert result of the previous step from base 10 to base 7.

Step 1: convert 1 from base 4 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 4nCumulative sum
01 1 x 401

From the table above, it can be written as a conversion formula as:
(1 × 40)

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 4 can to converted to base 7 as 1.

Base 4 to base 7 conversions table

Here is a conversions table comparing the relationship between base 4 and base 7 by using 1 - 100 in base 10 as starting numbers.

Base 4Base 7
11
22
33
104
115
126
1310
2011
2112
2213
2314
3015
3116
3220
3321
10022
10123
10224
10325
11026
11130
11231
11332
12033
12134
12235
12336
13040
13141
13242
13343
20044
20145
20246
20350
21051
21152
21253
21354
22055
22156
22260
22361
23062
23163
23264
23365
30066
301100
302101
303102
310103
311104
312105
313106
320110
321111
322112
323113
330114
331115
332116
333120
1000121
1001122
1002123
1003124
1010125
1011126
1012130
1013131
1020132
1021133
1022134
1023135
1030136
1031140
1032141
1033142
1100143
1101144
1102145
1103146
1110150
1111151
1112152
1113153
1120154
1121155
1122156
1123160
1130161
1131162
1132163
1133164
1200165
1201166
1202200
1203201
1210202

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