Suppose a four-digit code is created for each person in a group so that the fourth digit is assigned to make the sum of all four digits divisible by 8. The digits 0 through 8 may be used.
a. Is 2934 a valid identification number under this system?
b. What would the fourth digit have to be to make 861 a valid four-digit identification number under this system?
c. How will a four-digit identification number be recognizable as an invalid number?
d. If a single-digit error is made in the number 7522, how will the error be detected?
e. Under what circumstance will a single-digit error not be detected? Give an example.
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