Grey converters are often used in industrial circuits where the normal sequence of binary numbers may produce ambiguity during transition. This is elliminated with the Grey code, as only one bit changes, during a normal transition of sequential numbers.

Show the logic required to convert a $10-$bit binary number to Gray code and use that logic to convert the following to Gray code:

a$)1010101010$

b$)1111100000$

c$)0000001110$

d$)1111111111$