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Show all your work for credit. Part I. Each problem is worth 6 points. 1. Find 7 19 and 7 11 9. 2. What time does a 12-hour clock read 80 hours after it read 10:00? 3. What time does a 24-hour clock read 160 hours after it reads 17:00? 4. Evaluate quantities: a. -17 mod 5 b. 198 mod 19 c.-220 mod 23 5. Prove or disprove that if a|bc, where a, b, and c are positive integers and a 6. Find the a such that a a 99 (mod 41) and 100 s a s140. 7. Find the octal expansion of (12344) 10 8. Add a. (1111), and b = (1001), 9. Convert the octal expansion (433)le to a binary expansion. 10. Convert the binary expansion (111 0111 0101)2 to an octal expansion. 0, then alb or alc. Part II. Each problem is worth 10 points.