Design a BCD-to-Gray code decoder. Your decoder will have 4 inputs: A, B, C and D, representing a 4-bit BCD code (A being the MSB). It will have 4 outputs: W, X, Y and Z. The output for the undefined combinations of the BCD code should be don’t cares. Provide a logic expression for each output. (A gate-level implementation is not required.)

Binary to Gray Code Converter

The logical circuit which converts the binary code to equivalent gray code is known as binary to gray code converter. An n-bit gray code can be obtained by reflecting an n-1 bit code about an axis after 2n-1 rows and putting the MSB (Most Significant Bit) of 0 above the axis and the MSB of 1 below the axis.

The 4 bit binary to gray code conversion table is given in attached file.

Refer below for the explanation.

Explanation:

The logical circuit which changes over the binary code to proportionate gray code is known as binary to gray code converter. A n-bit gray code can be acquired by mirroring a n-1 piece code about a hub after 2n-1 lines and putting the MSB (Most Significant Bit) of 0 over the pivot and the MSB of 1 underneath the hub.

Refer to the picture attached.