Binary is the atom of computing, the basic building blocks of every process that goes on inside the computer. Every image, video, and gif is represented as a long line of 1’s and 0’s.

Binary Number System: According to digital electronics and mathematics, a binary number is defined as a number that is expressed in the binary system or base 2 numeral system. It describes numeric values by two separate symbols; 1 (one) and 0 (zero).

Binary to decimal conversion  Binary to decimal conversion is done to convert a number in a binary number system (base-2) to a number in a decimal number system (base-10). It is very necessary to understand the binary to decimal conversion for computer programming applications. 

The binary number system is represented by only two digits i.e., 0 and 1 whereas the decimal number system include all the 10 digits from 0 to 9. Now, we have to learn how to convert a binary number to the corresponding decimal number in the next section. 

Binary to Decimal Conversion Steps

• First, write the given binary number and count the powers of 2 from right to left (powers starting from 0)

• Now, write each binary digit (right to left) with the corresponding powers of 2 from (right to left), such that first binary digit (MSB) will be multiplied with the greatest power of 2.

• Add all the products in the above step

• The final answer will be the required decimal number

In summary, binary to decimal conversion involves assigning positional values to each digit in a binary number, multiplying them by their respective digit values, and summing the results to obtain the decimal equivalent. This conversion is essential for understanding and working with binary data in various computer systems and digital applications. 

A number system which uses digits from 0 to 9 to represent a number with base 10 is the decimal system number. The word 'deci' means 10, therefore there are ten numbers (digits) in the decimal number system. 

The valid numbers in a base 10 number system are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Each value in this number system has the place value of power 10. It means the digit at the tens place is ten times greater than the digit at the unit place.

A decimal number has base 10 and a binary number has base 2. In decimal to binary conversion, the base of the number also changes, i.e. from base 10 to base 2. All the decimal numbers have their equivalent binary numbers.