Math, asked by ashmibai449, 1 year ago

hexadecimal to octal A72E​

Answers

Answered by RVVJ
1

Answer:

123456

Step-by-step explanation:

You enter the number: A72E16 in Hexadecimal number system and want to translate it into Octal.

To do this, at first translate it to decimal here so :

A72E16 = 10∙163+7∙162+2∙161+14∙160 = 40960+1792+32+14 = 4279810

Happened: 4279810

Converting 4279810 in Octal system here so:

Whole part of a number is obtained by dividing on the basis new

42798 8

-42792 5349 8

6 -5344 668 8

5 -664 83 8

4 -80 10 8

3 -8 1

2

Translation of numbers from one system to another

Happened:(42798)10 = (123456)8

Result of converting:

A72E16 = 1234568

Answered by konrad509
1

Convert it to to binary number first.

A_{16}=1010\\7_{16}=0111\\2_{16}=0010\\E_{16}=1110\\\\A72E_{16}=1010011100101110_2

Divide the binary number into 3-bit groups.

001|010|011|100|101|110

Convert each group into octal number.

001_2=1_8\\010_2=2_8\\011_2=3_8\\100_2=4_8\\101_2=5_8\\110_2=6_8

So

A72E_{16}=123456_8

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