Base 16 to base 8 conversion

Base 16 to base 8 converter lets you convert number system between base 16 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 16 to base 8?

1
1 base 16 = 1 base 8

Calculation steps

To convert 1 in base 16 to base 8, take the following steps.

  1. Convert 1 from base 16 to base 10.
  2. Convert result of the previous step from base 10 to base 8.

Step 1: convert 1 from base 16 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 16nCumulative sum
01 1 x 1601

From the table above, it can be written as a conversion formula as:
(1 × 160)

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 16 can to converted to base 8 as 1.

Base 16 to base 8 conversions table

Here is a conversions table comparing the relationship between base 16 and base 8 by using 1 - 100 in base 10 as starting numbers.

Base 16Base 8
11
22
33
44
55
66
77
810
911
A12
B13
C14
D15
E16
F17
1020
1121
1222
1323
1424
1525
1626
1727
1830
1931
1A32
1B33
1C34
1D35
1E36
1F37
2040
2141
2242
2343
2444
2545
2646
2747
2850
2951
2A52
2B53
2C54
2D55
2E56
2F57
3060
3161
3262
3363
3464
3565
3666
3767
3870
3971
3A72
3B73
3C74
3D75
3E76
3F77
40100
41101
42102
43103
44104
45105
46106
47107
48110
49111
4A112
4B113
4C114
4D115
4E116
4F117
50120
51121
52122
53123
54124
55125
56126
57127
58130
59131
5A132
5B133
5C134
5D135
5E136
5F137
60140
61141
62142
63143
64144

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