0o1604

0o1604 refers to a number represented in octal (base-8) numeral system. The '0o' prefix is a common convention to denote an octal literal in programming languages like Python. In this case, the octal number 1604 needs to be converted to its decimal (base-10) equivalent to understand its value in a more standard representation.

To convert 0o1604 to decimal, we use the positional value of each digit. The rightmost digit is in the 8^0 position, the next digit to the left is in the 8^1 position, and so on. So, 0o1604 is calculated as:

(1 * 8^3) + (6 * 8^2) + (0 * 8^1) + (4 * 8^0)

= (1 * 512) + (6 * 64) + (0 * 8) + (4 * 1)

= 512 + 384 + 0 + 4

= 900

Therefore, the octal number 0o1604 is equivalent to the decimal number 900. Octal notation is less commonly used in everyday contexts than decimal or hexadecimal, but it finds applications in computing, particularly in older Unix-based systems for file permissions and in some assembly language programming. The octal system uses digits from 0 to 7.