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


1. (1011001)Excess 3 = (      ?      )2

Solution:
(1011001)XS3 = (_______)2

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

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

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


2. Convert decimal to binary
(26)10 = (_______)2

226 
2130↑
261↑
230↑
211↑
01↑


`:.` (26)10 = (11010)2

`:.` (1011001)XS3 = (11010)2
2. (10011001010)Excess 3 = (      ?      )2

Solution:
(10011001010)XS3 = (_______)2

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 binary
(197)10 = (_______)2

2197 
2981↑
2490↑
2241↑
2120↑
260↑
230↑
211↑
01↑


`:.` (197)10 = (11000101)2

`:.` (10011001010)XS3 = (11000101)2

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