Define binary number and decimal number with example

The Decimal Number System is a number system for which every real number x can be written in terms of the ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 as the sum of powers of 10. A number in the decimal number system is said to be of base 10 and to specify this we attach a subscript 10 to x, written (x)10.

The Binary Number System is a number system for which every real number x can be written in terms of the two digits 0 and 1 as the sum of powers of 2. A number written in the binary number system is said to be of base 2, and to specify this we attach a subscript 2 to x, written (x)2.