0o1003

0o1003 is a numerical literal that represents a value in octal, or base-8, number system. The prefix "0o" signifies that the following digits are to be interpreted as octal. The digits themselves are "1003". To convert this octal number to its decimal (base-10) equivalent, we use the positional values of each digit. Starting from the rightmost digit, which is in the 8^0 position, we multiply each digit by its corresponding power of 8 and sum the results.

Therefore, 0o1003 in octal is equal to:

(1 * 8^3) + (0 * 8^2) + (0 * 8^1) + (3 * 8^0)

= (1 * 512) + (0 * 64) + (0 * 8) + (3 * 1)

= 512 + 0 + 0 + 3

= 515

In decimal representation, 0o1003 is therefore 515. This notation is commonly used in programming languages such as Python, where it clearly distinguishes octal literals from decimal or hexadecimal ones. Understanding octal notation is useful in various computing contexts, including file permissions and older systems.