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Home > Pre-Algebra calculators > Excess 3 To Octal conversion example
Excess 3 To Octal converter example ( Enter your problem )
( Enter your problem )
  1. Examples
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1. Examples


1. (1011001)Excess 3 = (      ?      )8

Solution:
(1011001)XS3 = (_______)8

1. Convert XS3 to decimal
(1011001)XS3 = (_______)10

0101 1001
5
-3
=2		 9
-3
=6

`:.` (1011001)XS3 = (26)10


2. Convert decimal to octal
(26)10 = (_______)8

826 
832↑
03↑


`:.` (26)10 = (32)8

`:.` (1011001)XS3 = (32)8
2. (10011001010)Excess 3 = (      ?      )8

Solution:
(10011001010)XS3 = (_______)8

1. Convert XS3 to decimal
(10011001010)XS3 = (_______)10

0100 1100 1010
4
-3
=1		 12
-3
=9		 10
-3
=7

`:.` (10011001010)XS3 = (197)10


2. Convert decimal to octal
(197)10 = (_______)8

8197 
8245↑
830↑
03↑


`:.` (197)10 = (305)8

`:.` (10011001010)XS3 = (305)8

This material is intended as a summary. Use your textbook for detail explanation.
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