Question

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.)

Answer 1

Refer below for the explanation.

Step-by-step 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.

Answer 2

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.