10100110011000

10100110011000 is a binary number, which is a number expressed in the 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.

The binary number 10100110011000 can be converted to its decimal (base-10) equivalent by calculating the sum of each digit multiplied by its corresponding power of 2. The rightmost digit is multiplied by 2^0, the next digit by 2^1, and so on. For 10100110011000, this calculation is as follows:

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

This simplifies to:

4096 + 0 + 1024 + 0 + 0 + 128 + 64 + 0 + 0 + 8 + 4 + 0 + 0 = 5392

Therefore, the decimal equivalent of the binary number 10100110011000 is 5392.

Binary numbers are commonly used in computing and digital electronics to represent data and perform calculations. They are particularly useful for tasks that involve switching between two states, such as on/off, true/false, or yes/no. The binary system is also the foundation for more complex number systems, such as hexadecimal, which is often used in programming and computer science.