0b1001000110000

0b1001000110000 is a binary numeral prefixed with 0b, a convention used in many programming languages to denote a base-2 integer literal. The sequence contains 13 binary digits, with the most significant bit set to 1, indicating that the value is at least 2^12.

Evaluating the value in base-10 gives 4656. In hexadecimal, it is 0x1230. The bit length of this binary representation is 13, placing the value in the range from 4096 to 8191.

Grouping the digits from the left into nibble-sized chunks yields 1, 0010, 0011, 0000, which corresponds to hexadecimal digits 1, 2, 3, 0. This confirms the hexadecimal representation 0x1230.

In programming and digital contexts, such a binary literal can be used to represent a specific integer constant, a bit mask, or a pattern for bitwise operations. The 0b prefix helps clearly distinguish this value from its decimal or hexadecimal forms, aiding readability and reducing the likelihood of misinterpretation in source code.