Q. Describe binary number system?

The binary number system has a base of 2 with two distinct digits (bits), 1 and 0. A binary number is expressed as a string of 0s and 1s, and a binary point if a fraction exists. To convert the binary to the decimal system, the binary number is expressed in the polynomial form and the resulting polynomial is evaluated by using the decimal-system addition. For example,

For digital processing it is also often necessary to convert a decimal number into its equivalent binary number. This is accomplished by using the following steps.

1. Repeatedly divide the integer part of the decimal number by 2. Use the remainder after each division to form the equivalent binary number. Continue this process until a zero quotient is obtained.With the first remainder being the least significant bit, formthe binary number by using the remainder after each division.

2. Repeatedly multiply the decimal fraction by 2. If 0 or 1 appears to the left of the decimal point of the product as a result of thismultiplication, then adda0or1tothe binary function.

Continue this process until the fractional part of the product is zero or the desired number of binary bits is reached.

For example, the decimal number (75)10 is converted into its binary equivalent: