0o1512

The designation 0o1512 refers to a specific representation of a number, likely within a programming or computing context. The "0o" prefix is a common indicator in many programming languages, such as Python, that the subsequent digits are to be interpreted as an octal (base-8) number. Therefore, 0o1512 represents the octal number 1512.

To understand its value in a more familiar decimal (base-10) system, we can convert it. In octal, each digit's place value is a power of 8. Starting from the rightmost digit, the place values are $8^0$, $8^1$, $8^2$, $8^3$, and so on. For 1512 octal, this calculation is as follows:

$(1 * 8^3) + (5 * 8^2) + (1 * 8^1) + (2 * 8^0)$

$(1 * 512) + (5 * 64) + (1 * 8) + (2 * 1)$

$512 + 320 + 8 + 2$

$842$

Thus, 0o1512 is equivalent to the decimal number 842. This type of notation is useful for representing byte values or certain system configurations where octal is historically or conventionally employed. Without further context, 0o1512's specific application would depend on the system or language in which it appears.