110100000010

110100000010 is a binary number. Binary is a base-2 numeral system that uses only two symbols, typically "0" and "1", to represent numbers. This is in contrast to the decimal system, which is base-10 and uses digits 0 through 9.

In the binary number 110100000010, each digit represents a power of 2, starting from the rightmost digit as 2^0, the next as 2^1, and so on. To convert 110100000010 from binary to decimal, we multiply each digit by its corresponding power of 2 and sum the results.

The conversion is as follows:

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

This calculates to:

2048 + 1024 + 0 + 256 + 0 + 0 + 0 + 0 + 0 + 0 + 2 + 0 = 3330

Therefore, the binary number 110100000010 is equivalent to the decimal number 3330. Binary representation is fundamental in computer science and digital electronics, as it is the language that computers use to process and store information.