1111110000100100

1111110000100100 is a binary number. In decimal representation, it is equivalent to 63156. This binary string consists of sixteen digits, where '1' represents a true value or on state, and '0' represents a false value or off state. The position of each digit determines its place value, which is a power of two. Starting from the rightmost digit, the place values are 2^0, 2^1, 2^2, and so on, up to 2^15 for the leftmost digit.

To convert 1111110000100100 to decimal, we multiply each digit by its corresponding power of two and sum the results. This calculation would be: (1 * 2^15) + (1 * 2^14) + (1 * 2^13) + (1 * 2^12) + (1 * 2^11) + (1 * 2^10) + (0 * 2^9) + (0 * 2^8) + (0 * 2^7) + (0 * 2^6) + (1 * 2^5) + (0 * 2^4) + (0 * 2^3) + (1 * 2^2) + (0 * 2^1) + (0 * 2^0). Evaluating this expression yields the decimal value of 63156.

In hexadecimal representation, 1111110000100100 is 0FC24. This is derived by grouping the binary digits into sets of four, starting from the right. Each group of four binary digits corresponds to one hexadecimal digit. The groups are 1111, 1100, 0010, and 0100. These translate to F, C, 2, and 4 in hexadecimal, respectively, forming 0FC24.