How much is the binary number 101 worth in the decimal system?

The binary number 101 is worth 5 in the decimal system. Each digit in the binary number represents a power of 2. The rightmost digit represents 2^0 (which is 1), the next digit to the left represents 2^1 (which is 2), and the leftmost digit represents 2^2 (which is 4). When we add up these values (1 + 4), we get the decimal value of 5.

Binary numbers are a fundamental concept in computer science and digital electronics. In binary, there are only two digits: 0 and 1. Binary numbers are used to represent digital information because computers can only understand and manipulate binary code. Every piece of data that a computer processes, including text, images, and audio, is ultimately stored and processed as a series of binary digits.

The binary system is also the basis for many important computer concepts, such as binary arithmetic and logic gates. In binary arithmetic, addition and subtraction are performed using the same principles as in the decimal system, but with only two digits. In logic gates, binary digits are used to represent the two possible states of a circuit: on and off.