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Let a = 68, b = 33, and n = a. Verify that 7|(68– 33). b. Explain why 68 = 33 (mod 7). c. What value of k has the property that 7. %3D %3D - 68 = 33 +7k? d. What is the (nonnegative) remainder obtained when 68 is divided by 7? When 33 is divided by 7? e. Explain why 68 mod 7 = 33 mod 7.

Let a = 68, b = 33, and n = a. Verify that 7|(68– 33). b. Explain why 68 = 33 (mod 7). c. What value of k has the property that 7. %3D %3D - 68 = 33 +7k? d. What is the (nonnegative) remainder obtained when 68 is divided by 7? When 33 is divided by 7? e. Explain why 68 mod 7 = 33 mod 7.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Let \( a = 68 \), \( b = 33 \), and \( n = 7 \). **a.** Verify that \( 7 \mid (68 - 33) \). **b.** Explain why \( 68 \equiv 33 \pmod{7} \). **c.** What value of \( k \) has the property that \( 68 = 33 + 7k \)? **d.** What is the (nonnegative) remainder obtained when 68 is divided by 7? When 33 is divided by 7? **e.** Explain why \( 68 \mod 7 = 33 \mod 7 \).
Transcribed Image Text:Let \( a = 68 \), \( b = 33 \), and \( n = 7 \). **a.** Verify that \( 7 \mid (68 - 33) \). **b.** Explain why \( 68 \equiv 33 \pmod{7} \). **c.** What value of \( k \) has the property that \( 68 = 33 + 7k \)? **d.** What is the (nonnegative) remainder obtained when 68 is divided by 7? When 33 is divided by 7? **e.** Explain why \( 68 \mod 7 = 33 \mod 7 \).
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