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Question 4 ( Conversion from decimal to Base number system)

Question 4: Convert 89651 into an equivalent number with base 5.

a)​\( (10332101)_5 \)​               b) ​\( (10332111)_5 \)​                c) ​\( (10332103)_5 \)​           d) ​\( (10332001)_5 \)

Solution:

 

To convert 89651 into base number system with base 5, we divide it continuously with 5  as under:

Remainder terms of successive division are to be written in arrow direction from bottom to top.

So the decimal number 89651 is eqaulent to  ​\( (10332101)_5 \)

 

 

 


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