0b100000111

0b100000111 is a binary number. In this representation, the '0b' prefix indicates that the following digits are binary. The digits themselves, 100000111, represent a value in base-2. To convert this to its decimal equivalent, we can multiply each digit by the corresponding power of 2 and sum the results. Starting from the rightmost digit as 2^0, the calculation is: (1 * 2^8) + (0 * 2^7) + (0 * 2^6) + (0 * 2^5) + (0 * 2^4) + (0 * 2^3) + (1 * 2^2) + (1 * 2^1) + (1 * 2^0). This equates to 256 + 0 + 0 + 0 + 0 + 0 + 4 + 2 + 1, which sums to 263 in decimal. Therefore, 0b100000111 is the binary representation of the decimal number 263. Binary numbers are fundamental in computer science and digital electronics, forming the basis of how data is stored and processed. Each digit in a binary number is called a bit.