Base 4 to base 8 conversion

Base 4 to base 8 converter lets you convert number system between base 4 to base 8 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 8?

1
1 base 4 = 1 base 8

Calculation steps

To convert 1 in base 4 to base 8, 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 8.

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 8

Conversion from base 10 to base 8 can be done by dividing the number by 8 until the quotient is zero. The steps can be shown in the following table.

#Number divides 8QuotientRemaining
11 divides 801

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 8 as 1.

Base 4 to base 8 conversions table

Here is a conversions table comparing the relationship between base 4 and base 8 by using 1 - 100 in base 10 as starting numbers.

Base 4Base 8
11
22
33
104
115
126
137
2010
2111
2212
2313
3014
3115
3216
3317
10020
10121
10222
10323
11024
11125
11226
11327
12030
12131
12232
12333
13034
13135
13236
13337
20040
20141
20242
20343
21044
21145
21246
21347
22050
22151
22252
22353
23054
23155
23256
23357
30060
30161
30262
30363
31064
31165
31266
31367
32070
32171
32272
32373
33074
33175
33276
33377
1000100
1001101
1002102
1003103
1010104
1011105
1012106
1013107
1020110
1021111
1022112
1023113
1030114
1031115
1032116
1033117
1100120
1101121
1102122
1103123
1110124
1111125
1112126
1113127
1120130
1121131
1122132
1123133
1130134
1131135
1132136
1133137
1200140
1201141
1202142
1203143
1210144

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