110001001111

110001001111 is a binary number. In binary, also known as base-2, only two digits are used: 0 and 1. Each digit's position represents a power of 2, starting from 2^0 on the rightmost side. To convert 110001001111 to decimal (base-10), we multiply each digit by its corresponding power of 2 and sum the results.

Starting from the right, the digits are:

1 * 2^0 = 1 * 1 = 1

1 * 2^1 = 1 * 2 = 2

1 * 2^2 = 1 * 4 = 4

0 * 2^3 = 0 * 8 = 0

0 * 2^4 = 0 * 16 = 0

1 * 2^5 = 1 * 32 = 32

0 * 2^6 = 0 * 64 = 0

0 * 2^7 = 0 * 128 = 0

0 * 2^8 = 0 * 256 = 0

1 * 2^9 = 1 * 512 = 512

1 * 2^10 = 1 * 1024 = 1024

Summing these values: 1 + 2 + 4 + 0 + 0 + 32 + 0 + 0 + 0 + 512 + 1024 = 1575. Therefore, the binary number 110001001111 is equivalent to the decimal number 1575. This conversion process is fundamental in computer science and digital electronics, where information is processed and stored using binary representations.