The global trade item number (GTIN-8) barcode has seven digits and a check digit. This pseudocode algorithm inputs seven digits and calculates the eighth digit, then outputs the GTIN-8. DIV (X, Y), finds the number of divides in division for example DIV (23,10) is 2. MOD (X, Y), finds the remainder in division for example MOD (23,10) is 3. ``` FOR Count ← 1 TO 7 INPUT Number Digit(Count) ← Number NEXT Sum ← (Digit(1)+Digit(3)+Digit(5)+Digit(7))*3+Digit(2)+Digit(4)+Digit(6) IF MOD(Sum,10) <> 0 THEN Digit(8) ← DIV(Sum,10)*10 + 10 – Sum ELSE Digit(8) ← 0 ENDIF OUTPUT "GTIN-8" FOR Count ← 1 TO 8 OUTPUT Digit(Count) NEXT ```

1. (a)Complete the trace table for the input data: 5, 7, 0, 1, 2, 3, 4 | Digit(1) | Digit(2) | Digit(3) | Digit(4) | Digit(5) | Digit(6) | Digit(7) | Digit(8) | Sum | OUTPUT | |----------|----------|----------|----------|----------|----------|----------|----------|-----|----------| | 5 | 7 | 0 | 1 | 2 | 3 | 4 | | 44 | GTIN-8 | | | | | | | | | | | 57012346 | Complete the trace table for the input data: 4, 3, 1, 0, 2, 3, 1 | Digit(1) | Digit(2) | Digit(3) | Digit(4) | Digit(5) | Digit(6) | Digit(7) | Digit(8) | Sum | OUTPUT | |----------|----------|----------|----------|----------|----------|----------|----------|-----|----------| | 4 | 3 | 1 | 0 | 2 | 3 | 1 | | 30 | GTIN-8 | | | | | | | | | | | 43102310 |[5]
2. (b)Explain how you would change the algorithm to input eight digits (seven digits and the check digit) and output if the check digit entered is correct or not.[3]