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Question 5 (Conversion from decimal to Octal system … base 8)

Question 5 : Convert 824 into an equivalent number with base 8 (octal system).

a) ​\( (1471)_8 \)​            b) ​\( (1470)_8 \)​            c) ​\( (1370)_8 \)​            d) ​\( (1411)_8 \)

Solution:

 

To convert 824 into an equivalent number with base 8 we successively divide it with 8 as under;

 

Remainder terms of successive division are to be written from bottom to top as  ​\( (1470)_8 \)

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