0b1111001000101

0b1111001000101 is a binary literal representing an integer using base 2. The prefix 0b is used in several programming languages to denote binary notation, making it clear that the digits that follow are not decimal but binary. The literal consists of 13 bits, with the most significant bit set, yielding a positive unsigned value of 7749. In hexadecimal, the same value is 0x1E45, and it can be displayed as 0001 1110 0100 0101 if padded to 16 bits.

The bit pattern 1111001000101 has 1s in the positions 12, 11, 10, 9, 6, 2, and 0 when counting from zero as the least significant bit. This makes it useful in discussions of bitwise operations, masks, and flag fields, where specific bits denote particular options or states.

Interpretation of the value depends on the surrounding context, particularly the intended bit width and whether the value is treated as signed or unsigned. As an unsigned integer, 0b1111001000101 equals 7749. If interpreted as a signed number using a 13-bit two’s complement representation, the value would be -443, since the sign bit is 1. In typical software practice, the width and signedness are determined by the variable’s type rather than the literal alone.

Applications for such literals include low-level programming, hardware description, and examples illustrating binary arithmetic and bit manipulation. While 0b1111001000101 is not notable for a specific historical or mathematical significance, it serves as a representative example of binary literals in computing.