ow are binary digits used to express the integer and fractional parts of a number?

Binary digits, also known as bits, are used to express both integer and fractional parts of a number in the binary number system. This system is base 2, and uses only two symbols: 0 and 1. Here's how it works:

1. Integer Part:

   • The rightmost bit represents 2^0 (1), the next bit to the left represents 2^1 (2), the next represents 2^2 (4), and so on.
   • For example, the binary number 1011 represents the decimal number 11, because 2^3 (8) and 2^1 (2) and 2^0 (1) are present, and you add those together to get 11.

2. Fractional Part:

   • The first bit after the binary point represents 2^-1 (0.5), the next represents 2^-2 (0.25), the next represents 2^-3 (0.125), and so on.
   • For example, the binary number 0.101 represents the decimal number 0.625, because 2^-1 (0.5) and 2^-3 (0.125) are present, and you add those together to get 0.625.

So, a binary number like 1011.101 represents the decimal number 11.625.