111111101100011

The sequence 111111101100011 is a binary number. Binary is a base-2 numeral system that uses only two symbols, typically 0 and 1. In the binary system, each digit's position represents a power of 2, starting from 2^0 on the rightmost side.

To convert 111111101100011 from binary to decimal, we multiply each digit by its corresponding power of 2 and sum the results. The sequence has 15 digits. Starting from the rightmost digit as position 0, the calculation is as follows:

1 * 2^0 + 1 * 2^1 + 0 * 2^2 + 0 * 2^3 + 0 * 2^4 + 1 * 2^5 + 1 * 2^6 + 0 * 2^7 + 1 * 2^8 + 1 * 2^9 + 1 * 2^10 + 1 * 2^11 + 1 * 2^12 + 1 * 2^13 + 1 * 2^14

This equates to:

1 + 2 + 0 + 0 + 0 + 32 + 64 + 0 + 256 + 512 + 1024 + 2048 + 4096 + 8192 + 16384 = 32611

Therefore, the binary number 111111101100011 is equivalent to the decimal number 32611. Binary numbers are fundamental in computer science and digital electronics, as they represent the basic on/off states of electronic components.