lec-8.pdf

# lec-8.pdf - Lecture 8 Outline 1 Modular Arithmetic Lecture...

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Lecture 8. Outline. 1. Modular Arithmetic.

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Lecture 8. Outline. 1. Modular Arithmetic. Clock Math!!!
Lecture 8. Outline. 1. Modular Arithmetic. Clock Math!!! 2. Inverses for Modular Arithmetic: Greatest Common Divisor. 3. Euclid’s GCD Algorithm

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Clock Math If it is 1:00 now.
Clock Math If it is 1:00 now. What time is it in 5 hours?

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Clock Math If it is 1:00 now. What time is it in 5 hours? 6:00!
Clock Math If it is 1:00 now. What time is it in 5 hours? 6:00! What time is it in 15 hours?

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Clock Math If it is 1:00 now. What time is it in 5 hours? 6:00! What time is it in 15 hours? 16:00!
Clock Math If it is 1:00 now. What time is it in 5 hours? 6:00! What time is it in 15 hours? 16:00! Actually 4:00.

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Clock Math If it is 1:00 now. What time is it in 5 hours? 6:00! What time is it in 15 hours? 16:00! Actually 4:00. 16 is the “same as 4” with respect to a 12 hour clock system.
Clock Math If it is 1:00 now. What time is it in 5 hours? 6:00! What time is it in 15 hours? 16:00! Actually 4:00. 16 is the “same as 4” with respect to a 12 hour clock system. Clock time equivalent up to to addition/subtraction of 12.

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Clock Math If it is 1:00 now. What time is it in 5 hours? 6:00! What time is it in 15 hours? 16:00! Actually 4:00. 16 is the “same as 4” with respect to a 12 hour clock system. Clock time equivalent up to to addition/subtraction of 12.
Clock Math If it is 1:00 now. What time is it in 5 hours? 6:00! What time is it in 15 hours? 16:00! Actually 4:00. 16 is the “same as 4” with respect to a 12 hour clock system. Clock time equivalent up to to addition/subtraction of 12. What time is it in 100 hours?

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Clock Math If it is 1:00 now. What time is it in 5 hours? 6:00! What time is it in 15 hours? 16:00! Actually 4:00. 16 is the “same as 4” with respect to a 12 hour clock system. Clock time equivalent up to to addition/subtraction of 12. What time is it in 100 hours? 101:00!
Clock Math If it is 1:00 now. What time is it in 5 hours? 6:00! What time is it in 15 hours? 16:00! Actually 4:00. 16 is the “same as 4” with respect to a 12 hour clock system. Clock time equivalent up to to addition/subtraction of 12. What time is it in 100 hours? 101:00! or 5:00.

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Clock Math If it is 1:00 now. What time is it in 5 hours? 6:00! What time is it in 15 hours? 16:00! Actually 4:00. 16 is the “same as 4” with respect to a 12 hour clock system. Clock time equivalent up to to addition/subtraction of 12. What time is it in 100 hours? 101:00! or 5:00. 5 is the same as 101 for a 12 hour clock system.
Clock Math If it is 1:00 now. What time is it in 5 hours? 6:00! What time is it in 15 hours? 16:00! Actually 4:00. 16 is the “same as 4” with respect to a 12 hour clock system. Clock time equivalent up to to addition/subtraction of 12. What time is it in 100 hours? 101:00! or 5:00. 5 is the same as 101 for a 12 hour clock system. Clock time equivalent up to addition of any integer multiple of 12.

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Clock Math If it is 1:00 now.
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