I know 75(base8) = 61(base10), but I can't easily find the formula for this. How does one convert from base 8 to base 10?
@MSalters: Nice edit, thank you.
Daniel Daranas
2010-02-12 14:06:36
+2
A:
The formula is 18 = 110 and 108 = 810. Everything else can be derived from that.
If you have a sequence of base 8 digits you want to convert to a base 10 number, process them from left to right, keeping a total you initialize at zero. For each digit x, set the total to 8*total+x. After processing the last digit, the total will be the base ten value of the base 8 sequence.
rampion
2010-02-12 12:03:10
+1
A:
75 in base 8 = 5*8^0 + 7*8^1 = 5 + 56 = 61
In general, to convert the number a_1a_2a_3...a_n from base k to base 10, use the formula:
a_n*k^0 + a_(n-1)*k^1 + ... + a_1*k^(n-1).
IVlad
2010-02-12 12:03:38
A:
137461(base8) = 1 x 8^0 + 6 x 8^1 + 4 x 8^2 + 7 x 8^3 + 3 x 8^4 + 1 x 8^5
Arthur Kalliokoski
2010-02-12 12:04:08
+1
A:
To convert any base to base 10 just do the following:
For every digit in the different base multiply that by the base and digit. For example:
75 (base 8) = 7*8^1 + 5*8^0 = 61
Works for any base ... binary, hex, you name it just do that and it will convert to base 10.
Travis
2010-02-12 12:04:35
yes it is ... anything raised tot he zero power is equal to 1 ... aka 8^0 = 1
Travis
2010-02-12 12:13:23
@Travis: That's not a method for converting it to base 10, that's just a method for interpreting it as an integer. The base 10 conversion is done by your calculator (or else you just you did it subconsciously in your head).
Mark Byers
2010-02-12 12:21:30
@Mark: What's the difference? Once you get the integer 61, expressing it in base 10 is as easy as writing "61".
Daniel Daranas
2010-02-12 14:05:50
A:
given this is a programming site:
int oct_to_dec = 075;
printf("%d",oct_to_dec);
jk
2010-02-12 12:07:27