11000000111000
11000000111000 is a binary number, which is a base-2 numeral system. In binary, each digit is either a 0 or a 1, and each position represents an increasing power of 2, starting from the rightmost digit (which represents 2^0).
The binary number 11000000111000 can be converted to its decimal (base-10) equivalent by calculating the sum
1. Identify the position of each digit from right to left, starting with 0.
2. Multiply each digit by 2 raised to the power of its position.
For the binary number 11000000111000, the conversion is as follows:
(1 * 2^14) + (1 * 2^13) + (0 * 2^12) + (0 * 2^11) + (0 * 2^10) + (0 * 2^9) + (0 * 2^8) + (0
= 16384 + 8192 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 32 + 16 + 8 + 0 + 0 + 0
= 24600
Therefore, the decimal equivalent of the binary number 11000000111000 is 24600. This binary number is also