Question 16.62

32. Create a check digit for the UPC number 38137009213 using the weights 2, 1, 2, 1, 2, 1, …, 2, 1, instead of 3, 1, 3, 1, 3, 1, …, 3, 1. Is the error caused by replacing the 3 in the first position with an 8 detected? What about the error caused by replacing the 1 in the third position with a 6? Explain why or why not.