BCD to Excess-3 Code Conversion w/ 3-8 Decoder & NAND

[AmOoly]

How to realize a BCD to Excces3 Code converter using only 3-8 Decoder(s) and four NAND gates?

 

[berkeman]

You need to show us some of your work on this problem first. What is the logic table for a BCD to Excess-3 code converter? What does a 3-8 decoder do?

 

[piercas]

The BCD to Excess-3 code conversion process can be achieved using a combination of a 3-8 decoder and four NAND gates. The 3-8 decoder can be used to decode the four-bit BCD input into eight outputs, which can then be fed into the NAND gates to generate the Excess-3 code.

To begin, the BCD input can be connected to the A, B, C, and D inputs of the decoder. The decoder's eight outputs, labeled Y0-Y7, can then be connected to the inputs of the NAND gates. The outputs of the NAND gates can be labeled as E0-E3, with E0 being the least significant bit and E3 being the most significant bit of the Excess-3 code.

To generate the Excess-3 code, the following logic can be implemented using the NAND gates:

E0 = NAND (Y0, Y1)
E1 = NAND (Y0, Y2)
E2 = NAND (Y0, Y1, Y2, Y3)
E3 = NAND (Y0, Y1, Y2, Y3)

This logic takes into account the conversion rule for Excess-3 code, which states that each BCD digit is added to 3 to get the corresponding Excess-3 code. By using the NAND gates in this way, the BCD input can be converted to the Excess-3 code.

In conclusion, a BCD to Excess-3 code converter can be realized using a 3-8 decoder and four NAND gates by implementing the above logic. This method is efficient and cost-effective as it uses only a few components to achieve the desired conversion.