In a base ten system the number system which was most prevalent was the decimal system. It comprised ten numbers ranging from 0 to 10. On the other hand a binary system is a number system which uses a base two system which comprises of only 0 and 1. As the computers function on a binary system it is very helpful to learn the binary system which further has various practical implications. Converting binary to decimal is very simple as compared to converting decimal from binary. So let us first understand how to convert binary numbers into decimal.
First of all it very important to understand that this conversion is a bit lengthy and requires a thorough concentration, so one should be prepared with a paper and a pencil to get the conversions correct.
Secondly to convert the number into a decimal format first simply count the number of digits which are there in the binary system. For each and every unit, you have to list the power of two in the correct order starting from right to left, beginning with 1 until and continue till every digit is assigned one power of two. To illustrate a seven digit number in the binary format would be listed as 64, 32, 16, 8, 4, 2 and 1. Thus it is very clear beginning from left every digit has been assigned a number in the form of power of two starting with number 1.
In the next stage all the binary digits need to be connected with their corresponding powers of two and the binary digit which is farthest to the right would hence be rewarded the number 1. Then the next binary digit to 1 would be rewarded the number 2 and so on and so forth.
The next step is very important. For all the corresponding numbers which are marked with 1 of the binary number series are written in one line and the numbers which correspond to 0 are omitted.
The last step would be to add all the corresponding numbers taken from the series and the resultant value would be the decimal number equivalent to binary.
This it is very clear that the conversion from binary to decimal is very simple and easy. The only drawback is that if the decimal number is lengthy then writing the binary equivalents in the form of power of two gets a bit difficult. In such a situation either a calculator or a computer comes in rescue if the calculations reach beyond one’s own capacity. The conversion simply requires to correspond the binary values of the number with the decimal number format in the form of power of two and the values which correspond with one are selected and those values which correspond to zero are omitted. Once getting used to convert binary to decimal it becomes very comfortable to convert decimal to binary. This conversion also works on the same principal and does not require any difficult or complex calculations.