1. Find integers s, t such that 172s + 151t == 1. For full credit, find...
1. Find integers s, t such that 172s + 151t == 1. For full credit, find the smallest magnitude integers you can. Hint: First find gcd(151, 172) = 1.
Homework Answers
`Hey,
Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries
By using extended eulidean algorithm,
Set up a division problem where a is larger than b.
a ÷ b = c with remainder R. Do the division. Then replace a with b,
replace b with R and repeat the division. Continue the process
until R = 0.
172 ÷ 151 = 1 R 21 (172 = 1 × 151 +
21)
151 ÷ 21 = 7 R 4 (151 = 7 × 21 + 4)
21 ÷ 4 = 5 R 1 (21 = 5 × 4 + 1)
4 ÷ 1 = 4 R 0 (4 = 4 × 1 + 0)
So, s=36, t=-41
Kindly revert for any queries
Thanks.
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1. Find integers s, t such that 172s + 151t == 1. For full
credit, find...
Discrete Math Find d = gcd(131, 122). Find integers s and t such that d =...
Discrete Math
Find d = gcd(131, 122). Find integers s and t such that d = 131 . s + 122-t
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Using the Euclidean Algorithm show that gcd (193, 977) Now find integers s, t such that 193s +977t-1, and use this to find the value of a that satisfies the congruence 193a 38 (mod 977)
Using the Euclidean Algorithm show that gcd (193, 977) Now find integers s, t such that 193s +977t-1, and use this to find the value of a that satisfies the congruence 193a 38 (mod 977)
6. Using the Euclidean Algorithm show that gcd (109, 736) 1 Now find integers s, t such that 109s + 736t 1, and use this to find the value of r that satisfies the congruence 109x 71 (mod 736). 6...
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Discrete Math
Find d = gcd(131, 122). Find integers s and t such that d = 131 . s + 122-t
Using the Euclidean Algorithm show that gcd (193, 977) Now find integers s, t such that 193s +977t-1, and use this to find the value of a that satisfies the congruence 193a 38 (mod 977)
Using the Euclidean Algorithm show that gcd (193, 977) Now find integers s, t such that 193s +977t-1, and use this to find the value of a that satisfies the congruence 193a 38 (mod 977)
6. Using the Euclidean Algorithm show that gcd (109, 736) 1 Now find integers s, t such that 109s + 736t 1, and use this to find the value of r that satisfies the congruence 109x 71 (mod 736).
6. Using the Euclidean Algorithm show that gcd (109, 736) 1 Now find integers s, t such that 109s + 736t 1, and use this to find the value of r that satisfies the congruence 109x 71 (mod 736).
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