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Excess-3 to BCD converter
Excess-3 to BCD converter

Digital Logic Circuits

Code conversions | Excess-3 to BCD converter

Excess-3 to BCD converter

In this post on code conversions, we are going to see Excess-3 to BCD converter using k map technique.  K-map

If you are unfamiliar with this topic, have a look to the Study of Logic Gates.

Excess 3 -> BCD converter

Excess-3 to BCD converter:

                             EXCESS-3 INPUT                                 BCD OUTPUT
E3 E2 E1 E0 B3 B2 B1 B0
0 0 0 0 X X X X
0 0 0 1 X X X X
0 0 1 0 X X X X
0 0 1 1 0 0 0 0
0 1 0 0 0 0 0 1
0 1 0 1 0 0 1 0
0 1 1 0 0 0 1 1
0 1 1 1 0 1 0 0
1 0 0 0 0 1 0 1
1 0 0 1 0 1 1 0
1 0 1 0 0 1 1 1
1 0 1 1 1 0 0 0
1 1 0 0 1 0 0 1
1 1 0 1 X X X X
1 1 1 0 X X X X
1 1 1 1 X X X X

The excess-3 input starts only from 2, so the don’t care conditions are added for BCD output (o,1,2).  The Binary Coded Decimal has only 10 i.e (3 to 12) and the remaining are don’t care conditions.

K-map for B3: 

Excess-3 to BCD Converter

Also, read: Bcd -> excess 3 converter

K-map for B2:


Excess-3 to BCD converter

Binary -> Gray Code converter

K-map for B1:

Excess 3 to BCD converter


K-map for B0:

Excess-3 to BCD converter

Gray code -> binary converter

Logic Diagram: 

YExcess-3 to BCD logic diagram

Why code converters are needed?

  • To successfully retrieve the information sent from the sender
  • To securely send the data.
  • To avoid stealing of data.

Here we have discussed only a few code converters but in reality, there are more code converters.

The code conversion is only possible if a sender and receiver know the logic behind conversion or it should be guessed.

Just watch a movie Interstellar, if you want the best example. Let me cover it short, In that movie, the receiver guesses a pattern which was sent from space. I suggest watching that movie once for better clarification.

Another example was, an unknown “WOW” signal received from somewhere. It was believed that the signal has come from aliens. Still, we can’t get identify the complete pattern.

Check these articles related to ‘WOW’ signal.

If you need some other information related to code conversion or Excess-3 to BCD converter using k map technique, comment below.

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