101001011

101001011 is a binary number, a base-2 number system that uses only two digits: 0 and 1. In the decimal system, which is base-10, 101001011 is equivalent to 339. This conversion is achieved by multiplying each digit by 2 raised to the power of its position, starting from the right at 0, and then summing the results. For 101001011, this calculation is as follows: (1*2^9) + (0*2^8) + (1*2^7) + (0*2^6) + (0*2^5) + (1*2^4) + (0*2^3) + (1*2^2) + (1*2^1) + (1*2^0) = 512 + 0 + 128 + 0 + 0 + 16 + 0 + 4 + 2 + 1 = 339.

Binary numbers are fundamental in computing and digital electronics, as they represent the most basic form of data that computers understand. Each binary digit, or bit, can represent a true (1) or false (0) value, making binary an efficient system for digital devices to process information. The binary number 101001011, or 339 in decimal, could represent any data that can be quantified numerically, such as a pixel value in an image, a specific memory address, or a part of a larger data set. Understanding binary numbers is crucial for fields like computer science, electrical engineering, and information technology.