0o501

0o501 refers to a number represented in octal format. The prefix "0o" is a common convention to denote an octal literal, indicating that the subsequent digits are interpreted in base-8. In this case, the digits are 5, 0, and 1.

To convert 0o501 to its decimal (base-10) equivalent, we use the positional values of each digit. The rightmost digit (1) is multiplied by 8 to the power of 0 (8^0), the next digit to the left (0) is multiplied by 8 to the power of 1 (8^1), and the leftmost digit (5) is multiplied by 8 to the power of 2 (8^2).

Therefore, the calculation is:

(5 * 8^2) + (0 * 8^1) + (1 * 8^0)

(5 * 64) + (0 * 8) + (1 * 1)

320 + 0 + 1 = 321

So, 0o501 in octal is equal to 321 in decimal. Octal notation is often used in computing, particularly in older systems or specific contexts like file permissions in Unix-like operating systems, where it provides a more compact representation than binary while still being easily human-readable. Each octal digit corresponds to exactly three binary digits.