SYllabus when writing up your submission! the Homework Guidelines in the I. Complete the following exercises from Chapter 4: 4, 6, 7, 15, 16 II. Answer the following questions. 1. Make two copies of the following table. On one, show the results of addition modulo 7 (+ (mod 7); i.e. replace * with +), and on the other, show the results of multiplication modulo 7 (x (mod 7); i.e. replace * with x). 1 3 4. 1 2 3 4 6. (mod 7) (mod 7) 1 1 3. 3 4 4 6. 6. Why does this table represent all possible sums and products under addition and multipli- cation modulo 7? Hint: Think about the remainder classes for modulo 7 arithmetic. 2. Calculate (13, 000 + 2)10 (mod 13). 3. Find the remainder of 3456 when divided by the following. Hìnt: Use the 2.