BCD to Excess-3 converter
In this post on a code converter, we are going to see BCD to Excess-3 converter using the k-mapping technique.
If you are new to this topic BCD to Excess-3 Converter, better have a look on to Study of Logic Gates.
BCD to Excess-3 using K-map.
BCD to Excess-3 conversion:
|BCD INPUT||EXCESS-3 OUPUT|
A BCD (Binary Coded Decimal) can be converted into Excess-3 by
Taking the 3 rd value as a start and continue up to 9. After the 9, make it as a don’t care.
A don’t care is a condition which can be used in K-mapping technique.
There is no necessity for all the don’t care should be mapped, a don’t care should be mapped only if it is needed.
All the procedure for mapping remains the same.
K-map for E3:
Here K-mapping is done with the don’t care conditions.
Here on the red framed section, there is two 1’s. Here don’t care condition also mapped because to make it a higher possibility of mapping i.e 8.
(You should always map towards a higher possibility)
Next, to 8, the preference should be given to 4.
The green framed and a blue framed section has the mapping of 4 respectively.
K-map for E2:
Here the mapping is done for 4 elements and 2 elements since there is no availability for mapping the 8 elements.
(Mapping can be done anyways like the above k-map, elements are mapped with the first row and last row.
Mapping can also be done for the first column and last column if it is necessary.)
K-map for E1:
Here the mapping is done for 4 elements since there is no possibility for 8 elements mapping. On the third column don’t care is included because to make the preference to 4.
K-map for E0:
Here also the mapping is done for 4 elements.
Remember don’t care conditions should be mapped only if it is necessary to make higher order mapping.
On can get a different logic diagram rather than the one which was shown above because of simplifaction. Don’t worry about the logic, just draw a logic diagram as per your simplified value.
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