11111000110000000

11111000110000000 is a binary number. Binary is a base-2 numeral system that uses only two symbols, typically "0" and "1". Each digit in a binary number is called a bit. This particular binary number has 17 bits.

To understand its value in the more common decimal system (base-10), we can assign a power of 2 to each bit, starting from the rightmost bit as 2^0, then 2^1, 2^2, and so on, up to 2^16 for the leftmost bit. The decimal value is the sum of the products of each bit and its corresponding power of 2.

For 11111000110000000, the calculation is as follows:

(1 * 2^16) + (1 * 2^15) + (1 * 2^14) + (1 * 2^13) + (1 * 2^12) + (0 * 2^11) + (0 * 2^10) + (0 * 2^9) + (1 * 2^8) + (1 * 2^7) + (0 * 2^6) + (0 * 2^5) + (0 * 2^4) + (0 * 2^3) + (0 * 2^2) + (0 * 2^1) + (0 * 2^0)

This evaluates to:

65536 + 32768 + 16384 + 8192 + 4096 + 0 + 0 + 0 + 256 + 128 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 127360.

Therefore, the binary number 11111000110000000 is equivalent to the decimal number 127360. Binary numbers are fundamental in computer science and digital electronics, forming the basis of how data is stored and processed.