0o1177

0o1177 is an octal numeral literal that appears in various computing contexts. In many programming languages that support base‑indicated numeric literals, the prefix “0o” (or historically a leading zero alone in C and older languages) specifies that the following digits are interpreted in base‑eight. The value 0o1177 can be converted to decimal by multiplying each digit by a power of eight: 1×8³ + 1×8² + 7×8¹ + 7×8⁰ = 512 + 64 + 56 + 7 = 639. In hexadecimal notation this number is 0x279, and in binary it is 10100111111.

Beyond simple number representation, octal codes such as 0o1177 appear in the definition of file mode bits in Unix‑like operating systems. File permissions are encoded in an integer where the low three octal digits represent read, write, and execute permissions for the user, group, and others, respectively. The leading digit encodes the file type and special mode bits. For example, 0o1177 encodes a regular file (type digit 1), the set‑uid bit (the 4 in the leading octal position), and full read/write/execute permission for all users.

Historically, octal was widely used in early computers because many machines had word sizes that were multiples of three bits, making octal a convenient way to express binary data. While decimal and hexadecimal are now the predominant notations in modern programming, octal remains in use for legacy systems, file permissions, and as a concise way to represent certain binary patterns.

The numeral is therefore not tied to a single application; rather it illustrates how octal notation functions as a bridge between binary hardware representation and human‑readable constants in source code and system configuration.