1010000000100

1010000000100 is a binary numeral consisting of 13 bits. It represents a specific pattern of on and off states in a base-2 system, commonly used in computing and digital electronics to denote bitfields or binary constants.

Its decimal equivalent is 5124, and its hexadecimal representation is 0x1404. The most significant bit is the 2^12 place, which places the value in the range of 4096 to 8191. The set bits occur at positions 12, 10, and 2, corresponding to 2^12, 2^10, and 2^2.

Mathematically, the value 1010000000100 equals 2^12 + 2^10 + 2^2, which sums to 5124. The bit pattern can also be expressed as 0x1404 in hexadecimal. The number is 13 bits long, meaning it requires more than 12 bits to represent without truncation.

Prime factorization of 5124 is 2^2 × 3 × 7 × 61. This indicates it is an even composite number with multiple small prime factors.

In practical terms, binary strings like 1010000000100 are used to encode information in computers, where each bit represents a binary state. While this particular pattern does not correspond to a widely known constant or standard, it serves as an example of how a binary sequence maps to decimal and hexadecimal values, and how bit positions determine its overall value.