10110010010011

10110010010011 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 10110010010011 can be converted to its decimal (base-10) equivalent by calculating the sum of each digit multiplied by its corresponding power of 2. The conversion process is as follows:

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

This simplifies to:

4096 + 0 + 1024 + 512 + 0 + 0 + 64 + 0 + 0 + 8 + 4 + 0 + 1 = 5755

Therefore, the decimal equivalent of the binary number 10110010010011 is 5755.

Binary numbers are commonly used in computer science and digital electronics for representing data and performing calculations. They are particularly useful for low-level programming, hardware design, and understanding the fundamental workings of digital systems.