# The Binary system in Computing and how to convert Binary Numbers to Decimal

In simple terms, a binary system is an alternative system from the numerical mathematical counts that represent a combination of counting two numerals, for instance, (0) and (1). It represents the numbers 1 to 9.

When it comes to the computer system, the binary system's use easily manipulates all data and helps in effectively storing the same. The data can be informed of graphics, numbers, videos, and music, and words altogether.

When using the binary system, it becomes easy to use them in comparison to the decimal system. As such, computers can manipulate the information that has been fed to make it have an easy definition.

As we get on board in understanding the importance of the binary system in Computing, it’s important to understand how it works.

Since the numbers 0 and 1 do not have any symbols and, as such, represented by ten (10) you only have the option to count ONLY 0 and 1. This trend continues to units such as fours, eights, sixteens, thirty-twos, and the list continues. The number 0s and 1s in the binary system will, in this instance, is represented by Off and On. This can also be explained as the process by which the electrical signal is turned off and on again, but the fact remains that there must be base 2 exponents.

With this explanation, it’s now easy to get to understand the importance of using the binary system in Computing;

1. Computer systems are not able to use the decimal numbers in their operations. In human beings' daily lives, we can use decimal number systems to manipulate figures and store any information. This is not so for computers. They represent the numbers by use of the lowest base number that we use manually. This number is two and hence use of) and 1, and 0, and the binary system is formed. On the other hand, computers use voltages, and the voltages are measures as a two-state system that we have previously described as electrical signals that is either on or off. Since computing operations cannot manipulate decimals, then using a binary system is easier and effective.
2. As said, computers use a binary system, which is a two-state system. This is a system that has suited well in optical and magnetic storage components in the computers. The current world demands that all information is stored for future use or reference, and if decimal numbers were used, then there would be thousands of rules that would be put in place for the computers to work effectively. But with the binary system, all this is sorted within a fraction of a minute. Again the maximum rules required for a binary system to operate and carry out the calculations are only four; this is awesome in the digital world.

This leaves us with a question, how to convert Binary to decimal Numbers;

With a Binary system, the two different digits, 0 and 1, can store any of the two levels of information depending on the control signal. Usually, the higher level takes charge of value 1, and the lower level takes up the value 0. This gives the binary system process.

Below is a step by step process by which a Decimal is converted to Binary

• Step1: Dividing the decimal number by 2. After dividing, assig a value R1=remainder and Q1= the amount obtained from dividing the decimal.
• Step2: Divide Q1 with 2 and take note of the remainder. Allocate the remainder value to R2 and the value of the amount obtained to Q1.
• Step 3: Repeat the sequence until you get to such a time that the final amount will be equal to 0. Step 4: The answer to the Binary number will have the formula R (n) (n-1)….. R3, R2, R1

When converting the value to the binary system, the only difference is the sequential arrangement, and therefore the need to understand how the binary system works.