Gray to Binary Code

Here is one algorithm to convert from "natural binary codes" to Gray
code (encode):

Let B[n:0] the array of bits in the usual binary representation
Let G[n:0] the array of bits in gray code
G[n]=B[n]
for i=n-1 down to i=0 {
G[i]=B[i+1] XOR B[i]
}

Here is one algorithm to convert from Gray code to "natural binary codes" (decode):

    B[n]=G[n]

  for i=n-1 down to i=0 {

    B[i]=B[i+1] XOR G[i]

  }