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


1. (207)8 = (      ?      )Excess 3

Solution:
(207)8 = (_______)XS3

1. Convert octal to decimal
(207)8 = (_______)10

`207`

` = 2 × 8^2 + 0 × 8^1 + 7 × 8^0`

`= 2 × 64 + 0 × 8 + 7 × 1`

`= 135`


`:.` (207)8 = (135)10


2. Convert decimal to XS3
(135)10 = (_______)XS3

1
+3
=4		 3
+3
=6		 5
+3
=8
0100 0110 1000

`:.` (135)10 = (010001101000)XS3


`:.` (207)8 = (010001101000)XS3
2. (353)8 = (      ?      )Excess 3

Solution:
(353)8 = (_______)XS3

1. Convert octal to decimal
(353)8 = (_______)10

`353`

` = 3 × 8^2 + 5 × 8^1 + 3 × 8^0`

`= 3 × 64 + 5 × 8 + 3 × 1`

`= 235`


`:.` (353)8 = (235)10


2. Convert decimal to XS3
(235)10 = (_______)XS3

2
+3
=5		 3
+3
=6		 5
+3
=8
0101 0110 1000

`:.` (235)10 = (010101101000)XS3


`:.` (353)8 = (010101101000)XS3

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