0o17353

0o17353 is a notation that represents a number in octal, or base-8, numeral system. The "0o" prefix is a common way to denote an octal literal in many programming languages, indicating that the following digits should be interpreted as base-8. The digits following the prefix are 1, 7, 3, and 5.

To convert 0o17353 from octal to decimal (base-10), we multiply each digit by its corresponding power of 8 and sum the results. Starting from the rightmost digit:

3 * 8^0 = 3 * 1 = 3

5 * 8^1 = 5 * 8 = 40

3 * 8^2 = 3 * 64 = 192

7 * 8^3 = 7 * 512 = 3584

1 * 8^4 = 1 * 4096 = 4096

Adding these values together: 3 + 40 + 192 + 3584 + 4096 = 7915.

Therefore, 0o17353 in octal is equivalent to 7915 in decimal.

The octal system is a base-8 system, meaning it uses eight digits: 0, 1, 2, 3, 4, 5, 6, and 7. It is sometimes used in computing, particularly in older systems or for representing file permissions, as it offers a more compact representation than binary (base-2) while still being directly convertible. Each octal digit can represent exactly three binary digits.