10001110010001

10001110010001 is a binary numeral consisting of 14 bits. As a binary string, it is read from left to right as the sequence of bits 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1.

Numerical value and representations: The sequence represents the unsigned integer 9105 in decimal. Its hexadecimal representation is 0x2391. The two most significant bits of the corresponding 16‑bit form are zeros, and dropping them yields the 14‑bit string above. The bit positions containing 1s are at 2^13, 2^9, 2^8, 2^7, 2^4, and 2^0, giving a total weight (or Hamming weight) of 6. The number is odd, since its least significant bit is 1.

Interpretation and context: When divided into two 7‑bit groups, the string could be interpreted as two 7‑bit ASCII codes: 1000111 (71) corresponds to the character 'G', while 0010001 (17) is a control code. This illustrates that 14‑bit patterns are not aligned with standard ASCII encodings, but they can be analyzed as compact bit patterns in digital systems.

Applications and relevance: 10001110010001 is primarily of interest as an example of a 14‑bit binary value in discussions of binary numeration, bitwise operations, and compact encoding. It serves as a concrete case for practicing binary-to-decimal conversion, hexadecimal representation, and bit-pattern reasoning.