The Gray code is a binary code for integers. It differs from the ordinary binary representation in that there is just a single bit change between the representations of any two numbers. This is useful for applications such as counters or analog-to-digital converters where a sequence of numbers is generated. Because only one bit changes at a time, there is never any ambiguity due to slight timing differences. The first eight elements of the code are

Design a circuit that converts from binary to Gray code.

Binary Code Gray Code 001 010 011 100 101 110 001 011 010 110 101 100