Number System Conversion-ProLearner00

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Number System Conversion


The binary number system is the most important one in digital systems as it is very easy to implement in circuitry. The decimal system is important because it is universally used to represent quantities outside a digital system.

In addition to binary and decimal, octal and hexadecimal number systems find widespread application in digital systems. These number systems (octal and hexadecimal) provide an efficient means for representing large binary numbers. As we shall see, both these number systems have the advantage that they can be easily converted to and from binary.

In a digital system, three or four of these number systems may be in use at the same time, so that an understanding of the system operation requires the ability to convert from one number system to another. This section discusses how to perform these conversions. So, let us discuss them one by one.


Decimal to Binary Conversio

There are two procedures for converting (integers) from decimal to binary. Because of this restriction, it is more useful for small numbers where these powers have been memorized. Starting with the decimal number to be evaluated, obtain the largest power of 2 from the table without exceeding the original number. Record this. Then subtract the table obtained number from the original number. Repeat the process for the remainder, and continue until the remainder is zero. Finally, add the binary numbers obtained from the table. The result is the answer.

Repeated Division Method.

Example 1. Convert 4310 to binary using repeated division method.

solution.

  

Reading the remainders from the bottom to the top,

         ⁴³10=1010112 (compare with result of Example 3.1)


Related articles:-
Data Representation in Computer
NUMBER SYSTEM IN COMPUTER
Difference between Hardware and Software
Functional Components of Computer

                            


 

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