Base 8 to base 7 conversion

Base 8 to base 7 converter lets you convert number system between base 8 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 8 to base 7?

1
1 base 8 = 1 base 7

Calculation steps

To convert 1 in base 8 to base 7, take the following steps.

  1. Convert 1 from base 8 to base 10.
  2. Convert result of the previous step from base 10 to base 7.

Step 1: convert 1 from base 8 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 8nCumulative sum
01 1 x 801

From the table above, it can be written as a conversion formula as:
(1 × 80)

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 8 can to converted to base 7 as 1.

Base 8 to base 7 conversions table

Here is a conversions table comparing the relationship between base 8 and base 7 by using 1 - 100 in base 10 as starting numbers.

Base 8Base 7
11
22
33
44
55
66
710
1011
1112
1213
1314
1415
1516
1620
1721
2022
2123
2224
2325
2426
2530
2631
2732
3033
3134
3235
3336
3440
3541
3642
3743
4044
4145
4246
4350
4451
4552
4653
4754
5055
5156
5260
5361
5462
5563
5664
5765
6066
61100
62101
63102
64103
65104
66105
67106
70110
71111
72112
73113
74114
75115
76116
77120
100121
101122
102123
103124
104125
105126
106130
107131
110132
111133
112134
113135
114136
115140
116141
117142
120143
121144
122145
123146
124150
125151
126152
127153
130154
131155
132156
133160
134161
135162
136163
137164
140165
141166
142200
143201
144202

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