1. Examples
1. (7CA)16 = ( ? )Excess 3
Solution:
(7CA)16 = (_______)XS3
1. Convert hexadecimal to decimal
(7CA)16 = (_______)10
`7CA`
` = 7 × 16^2 + C × 16^1 + A × 16^0`
`= 7 × 256 + 12 × 16 + 10 × 1`
`= 1994`
`:.` (7CA)16 = (1994)10
2. Convert decimal to XS3
(1994)10 = (_______)XS3
1
+3
=4 | 9
+3
=12 | 9
+3
=12 | 4
+3
=7 | | 0100 | 1100 | 1100 | 0111 |
`:.` (1994)10 = (0100110011000111)XS3
`:.` (7CA)16 = (0100110011000111)XS3
2. (4F8)16 = ( ? )Excess 3
Solution:
(4F8)16 = (_______)XS3
1. Convert hexadecimal to decimal
(4F8)16 = (_______)10
`4F8`
` = 4 × 16^2 + F × 16^1 + 8 × 16^0`
`= 4 × 256 + 15 × 16 + 8 × 1`
`= 1272`
`:.` (4F8)16 = (1272)10
2. Convert decimal to XS3
(1272)10 = (_______)XS3
1
+3
=4 | 2
+3
=5 | 7
+3
=10 | 2
+3
=5 | | 0100 | 0101 | 1010 | 0101 |
`:.` (1272)10 = (0100010110100101)XS3
`:.` (4F8)16 = (0100010110100101)XS3
This material is intended as a summary. Use your textbook for detail explanation.
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