0b01111111111111111111111111111111

0b01111111111111111111111111111111 is a binary literal that encodes a 32-bit value. In binary, the most significant bit is 0 and the remaining 31 bits are 1.

Value and interpretation:

As an unsigned 32-bit integer, this pattern equals 2,147,483,647. In a signed 32-bit two’s complement representation, it denotes the maximum positive integer, commonly referred to as INT_MAX, since the sign bit is 0 and all other bits are 1.

Equivalent representations:

The same value is often written as hexadecimal 0x7FFFFFFF and decimal 2147483647.

Context and usage:

Binary literals with a 0b prefix appear in several programming languages, such as Python, JavaScript (ECMAScript 6 and later), and C++14 and newer. This particular bit pattern is frequently encountered in discussions of limits, bitwise operations, or tests involving the maximum 32-bit signed integer. It is distinct from -1, which in 32-bit two’s complement is represented by all bits set to 1 (0xFFFFFFFF).

Notes:

While the value is tied to a 32-bit width, actual storage depends on the language and platform; endianness affects byte order in memory but not the numerical value.