Use 32-bit or 64-bit architecture.

Definition: Gray Code

Gray code, or reflected binary code, is a binary numbering system where two consecutive values differ in only one bit. Named after researcher Frank Gray, it stops digital and mechanical systems from reading wrong intermediate values when numbers change.

In digital electronics, a Gray code counter is a specialized circuit where only one bit changes state with every clock pulse. Unlike standard binary counters—where multiple bits can flip simultaneously (e.g., 011 to 100 flips three bits)—a Gray code counter eliminates temporary glitches, race conditions, and high dynamic power consumption during state transitions.

Key Properties:

• Single-Bit Change: Only a single bit flips between any two adjacent numbers.


• Cyclic Design: The final code value and the first code value also differ by just one bit.


• Non-Weighted: The bit positions do not carry standard mathematical weights like regular binary code.

Project 14a

What is a gray code and how (and why) is it used? (In your own words.)

Project #14b

Develop and test three functions:

1. binary to gray code converter
2. gray code to binary converter
3. gray code counter

Create a reasonable amount of test test data.

Print the input and output and make it "pretty".

links

Gray code (Wikipedia)

How To Convert Gray Code to Binary and Binary to Gray Code (YouTube)

Gray Code (Geeks for Geeks)

Decimal, Binary, Gray

Decimal	Binary	Gray	Decimal	Binary	Gray
0	0000	0000	8	1000	1100
1	0001	0001	9	1001	1101
2	0010	0011	10	1010	1111
3	0011	0010	11	1011	1110
4	0100	0110	12	1100	1010
5	0101	0111	13	1101	1011
6	0110	0101	14	1110	1001
7	0111	0100	15	1111	1000

Note: For decimal 15 the code rolls over to decimal 0 with only one switch change. This is called the cyclic or adjacency property of the graycode. (Wikipedia)