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How do you convert a decimal number to its octal What is the algorithm for it?
Wiki User
∙ 9y ago
Repeatedly divide the number by 8 until the number is zero. Take the remainders from each division (the remainders will always be in the range 0 to 7 inclusive). The first division finds the lowest-order digit, the last finds the highest-order digit.
Example:
Decimal value: 421
421 / 8 = 52 r 5
52 / 8 = 6 r 4
6 / 8 = 0 r 6
The remainders are 6, 4 and 5, so 421 decimal is 645 octal.
To convert from octal to decimal, multiply each octal digit by 8^n, where n is the zero-based order of the digit (0 being the lowest order), then sum the products.
Example:
Octal number: 645
5 * (8^0) = 5 * 1 = 5
4 * (8^1) = 4 * 8 = 32
6 * (8^2) = 6 * 64 = 384
384 + 32 + 5 = 421
Note that n^0 = 1 for all n>=0.
Wiki User
∙ 9y ago
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NA
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