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Question 1 [10 points]. Modular Arithmetic: Compute the following without a calculator. SHOW YOUR WORK. i. 143 * 178 mod 12 (Hint: ab mod c = ((a mod c) (b mod c)) mod c) ii. 8 * (3/11) mod 12 (Hint: In mod 12 system, a, a+12, a+24, a+36, a+48, etc. are all equivalent) iii. 17/19 mod 12 (Hint: First, simplify the numerator and denominator by applying the mod function independently) iv. 4 10 * 512 mod 12 v. 4 10 * 512 mod 17

Name: question 1 10 points modular arithmetic compute the following without a calculator show your work i 143 178 mod 12 hint ab mod c a mod c b mod c mod c ii 8 311 mod 12 hint in mod 12 system a 00924
Uploaded: 2023-02-14T06:31:47-08:00
Duration: 2 min
Channel: Adi S
Description: question 1 10 points modular arithmetic compute the following without a calculator show your work i 143 178 mod 12 hint ab mod c a mod c b mod c mod c ii 8 311 mod 12 hint in mod 12 system a 00924

          Question 1 [10 points]. Modular Arithmetic: Compute the
following without a calculator. SHOW YOUR WORK.
i. 143 * 178 mod 12 (Hint: a*b mod c = ((a mod c) * (b mod c))
mod c)
ii. 8 * (3/11) mod 12 (Hint: In mod 12 system, a, a+12, a+24,
a+36, a+48, etc. are all equivalent)
iii. 17/19 mod 12 (Hint: First, simplify the numerator and
denominator by applying the mod function independently)
iv. 4 10 * 512 mod 12
v. 4 10 * 512 mod 17

Added by Lance P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

02/14/2023

Step 1

143 * 178 mod 12 = 3456 Show more…

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Question 1 [10 points]. Modular Arithmetic: Compute the following without a calculator. SHOW YOUR WORK. i. 143 * 178 mod 12 (Hint: a*b mod c = ((a mod c) * (b mod c)) mod c) ii. 8 * (3/11) mod 12 (Hint: In mod 12 system, a, a+12, a+24, a+36, a+48, etc. are all equivalent) iii. 17/19 mod 12 (Hint: First, simplify the numerator and denominator by applying the mod function independently) iv. 4 10 * 512 mod 12 v. 4 10 * 512 mod 17