Consider a “clock 11” arithmetic system, where the operation denotes addition performed on this clock. For instance, if it’s 5 o’clock now, then it would be 6 o’clock in 12 hours and 7 o’clock in 24 hours since 5⨁12 ≡ (5+ 12) mod11 ≡ 17 mod11 ≡ 6 and 5⨁24 ≡ (5+ 24) mod11 ≡ 29 mod11 ≡ 7. Check that 17 = 11+6 and 24 = 2(11)+7. Suppose it is now 2 o’clock on this 11-hour clock. a) What time will it be in 2021 hours? b) What time was it 2021 hours ago?
Consider a “clock 11” arithmetic system, where the operation denotes addition performed on this clock. For instance, if it’s 5 o’clock now, then it would be 6 o’clock in 12 hours and 7 o’clock in 24 hours since 5⨁12 ≡ (5+ 12) mod11 ≡ 17 mod11 ≡ 6 and 5⨁24 ≡ (5+ 24) mod11 ≡ 29 mod11 ≡ 7. Check that 17 = 11+6 and 24 = 2(11)+7. Suppose it is now 2 o’clock on this 11-hour clock. a) What time will it be in 2021 hours? b) What time was it 2021 hours ago?
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
Problem 1PE
Related questions
Question
PLEASE help! I need to understand how to solve this problem below:
Consider a “clock 11” arithmetic system, where the operation denotes addition
performed on this clock. For instance, if it’s 5 o’clock now, then it would be 6
o’clock in 12 hours and 7 o’clock in 24 hours since
5⨁12 ≡ (5+ 12) mod11 ≡ 17 mod11 ≡ 6
and
5⨁24 ≡ (5+ 24) mod11 ≡ 29 mod11 ≡ 7.
Check that 17 = 11+6 and 24 = 2(11)+7.
Suppose it is now 2 o’clock on this 11-hour clock.
a) What time will it be in 2021 hours?
b) What time was it 2021 hours ago?
Show your computational work for each question.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education