To convert any base to base 10 simply do the following:

For every number in the various base multiply that by the base and also digit. Because that example:

75 (base 8) = 7*8^1 + 5*8^0 = 61 works for any kind of base ... Binary, hex, you surname it just do that and it will convert to base 10.

You are watching: How to convert from base 8 to base 10

The formula is 18 = 110 and also 108 = 810. Everything else can be derived from that.

If you have a sequence of basic 8 digits you desire to convert to a base 10 number, process them native left to right, keeping a total you initialize at zero. For each number x, set the full to 8*total+x. After handling the last digit, the full will it is in the basic ten value of the base 8 sequence.

75 in basic 8 = 5*8^0 + 7*8^1 = 5 + 56 = 61

In general, to convert the number a_1a_2a_3...a_n from basic k to basic 10, usage the formula:

a_n*k^0 + a_(n-1)*k^1 + ... + a_1*k^(n-1).

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