1111001011001

1111001011001 is a binary numeral consisting of 13 bits. As a binary sequence, it contains eight ones and five zeros, giving it a Hamming weight of 8. Its length means it does not align with a full byte, which affects how it is interpreted in different encoding schemes.

Numerical value and representations: When interpreted as a base-2 number, 1111001011001 equals 7,769 in decimal. If padded with leading zeros to form a 16-bit value, it becomes 0001111001011001, which corresponds to the hexadecimal value 0x1E59. This hex representation is sometimes used to reference the same bit pattern in contexts that prefer hexadecimal notation.

Structure and interpretation: The 13-bit length makes it suitable as a bit field in certain communication protocols or data structures where fields are not constrained to 8 bits. Depending on the system, the order of bits (endianness) and alignment within larger words can alter its interpretation, so the exact meaning can vary by application.

ASCII and text considerations: When the 13-bit sequence is viewed as part of a binary stream that is grouped into 8-bit bytes from the least significant side, the least-significant eight bits are 01011001, which corresponds to the ASCII character 'Y'. The remaining five most significant bits (11110) do not map to a printable ASCII character on their own.

Applications and context: This sequence is primarily of interest as a numeric or bit-field example in discussions of binary arithmetic, encoding schemes, or data-field design. It does not correspond to a standard single-byte character in ASCII or Unicode without additional context or padding.

See also: Binary numeral system, Hexadecimal, ASCII, Unicode, Endianness, Bit field.