how to calculate mod in calculator 6 There are ways to calculate it modulo is remainder counting basically 7 2 mod 5 because 7 5 1 2 12 2 mod5 because 12 5 2 2 and so on so if you want to calculate for example 73 a mod 7 you can do this that is want to get a take 73 and continue subtracting 7 until you no longer can 73 7 66 66 7 59 etc
1 By definition of modular arithmetic 3524 mod 63 is the remainder when 3524 is divided by 63 To find 3524 mod 63 multiply your answer for 3524 mod 63 by 1 If you want a positive residue add 63 to this result For the product 101 98 mod17 use the theorem that if a b mod n and c d modn then ac bd mod n To find what number modulo n n this fraction represents you need to evaluate b 1 b 1 You can do that by using the Euclidean algorithm to solve the B zout equation bx ny 1 b x n y 1 The x x in this equation will give you b 1 b 1 If you know the factorization of n n you can also use Euler s totient function by noting that
how to calculate mod in calculator
how to calculate mod in calculator
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What about 439 4 Hint take your answer for 439 2 after reducing it mod 713 and then square it again In the same way calculate 439 8 439 16 dots 439 128 mod 713 Now just note that 233 128 64 32 8 1 So multiply the appropriate powers of 439 together again one calculation at a time reducing mod 713 each time 8126 8100 27 1 Notice how 8100 and 27 are multiples of 9 The sum 8127 is also a multiple of 9 which signifies that 8127 mod 9 0 In modular arithmetic 0 1 8 so 8126 mod 9 8 Notice If you are still confused draw a circle and draw nine points writing the numbers 0 8 on the dots clockwise Now go to point 0 and go one point
Therefore 31 7 4 some number 31 7 4 some number where your goal is to determine what some number some number is This same exact process applies for negative numbers If you want to evaluate 11 mod 7 11 mod 7 you need the largest multiple of 7 7 that s less than or equal to 11 11 This is 14 14 8 We can use the Chinese remainder theorem Let Big Number x Big Number x Notice that x 0 mod 9 x 0 mod 9 since each factor is divisible by 3 3 and further x 1 mod 2 x 1 mod 2 since it is a product of two odd numbers We have gcd 2 9 1 gcd 2 9 1 and 18 2 9 18 2 9 so the theorem guarantees a
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There is a mod function in TI NSpire and any graphing calculator Syntax mod number to divide modulus divisor E g mod 35 51 319 Enter yields 167 Share Cite answered Jul 13 2016 at 13 48 Alik Z 11 1 Add a comment Select ab c number 1 Then do your calculation in comp mode like 50 3 and you will see 16 2 3 thus mod is 2 or try 54 7 which is 7 5 7 mod is 5 If you don t see any fraction then mod is 0 like 50 5 is 10 The remainder fraction is shown in reduced form so 60 8 will result in 7 1 2
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how to calculate mod in calculator - 8126 8100 27 1 Notice how 8100 and 27 are multiples of 9 The sum 8127 is also a multiple of 9 which signifies that 8127 mod 9 0 In modular arithmetic 0 1 8 so 8126 mod 9 8 Notice If you are still confused draw a circle and draw nine points writing the numbers 0 8 on the dots clockwise Now go to point 0 and go one point