There is one button ab/c beneath CALC... if u want to calculate 7 mod 4 then... u should press 7 then ab/c 4 and equal to 1, 3 ,4 which is 4*1=4 and 7-4=3 remainder...
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11^17=505447028499293771 mod(11^17,12)=11 Your calculator is not be able to calculate it. Even a more sophisticated Casio Graphing Calculator that has the modulo function runs into a memory error.
11^27 = 13,109,994,191,499,930,367,061,460,371 which is 29 digits long.
You can get this result from the Windows calculator (scientific view) by entering 11 and then pressing x^y 27 = . Then use Mod 29 = to get the result, which is 8.
Unfortunately the Casio fx-991ms (as with most other calculators) doesn't have nearly enough digits to cope with this type of calculation. You therefore need to split the calculation down into more manageable chunks, as follows, which works on most calculators:
First calculate 11^3 = 1,331 and work out Mod 29, which is 1,331 - 45×29 = 26. Then calculate 26^3 = 17,576 and work out Mod 29, which is 17,576 - 606×29 = 2. Finally calculate 2^3 = 8. Since this is less than 29, it is also the final answer as confirmed above.
This method can be used with any power number that can be factorised into numbers that don't cause the available digits of the display to overflow. In this case 27 = 3×3×3 so each step involves cubing the previous answer.
It's a bit convoluted, and it only works for integers, but here's one way. Press MODE 4 to switch to BASE-N (integer) mode. If the screen doesn't read "Dec" then press the x^2 key. Now, to calculate m mod n, calculate m-m/n*n. No shortcuts, no rearranging. That's m minus m divided by n times n. You have to enter both numbers twice, but you will get the modulus.
Press MODE 1 to return to your previously scheduled calculations.
The fx-115ES does not have a modulo operator. However, it is possible to compute the remainder using integer arithmetic. Press MODE 4 to shift into integer mode. Then calculate A modulo B as A - B * (A / B). For example, to calculate 41 modulo 6, press
4 1 - 6 * ( 4 1 / 6 ) = and get 5.
The MOD function simply returns the remainder that is left over after dividing the two numbers.
In this case, its possible to see quite easily that only 1×19937 can be taken from 24124 before the remainder is less than 19937. The MOD function is therefore the same as 24124 - 19937 = 4187.
In cases that are less obvious, do the division, ie 24124 ÷ 19937 = 1.210011536[34]
[The last two digits are hidden on the display but still used in subsequent calculations].
Then obtain the fractional part by subtracting 1 to give 0.210011536[34]. Then multiply the answer by 19937 to give 4187. Assuming that you haven't cleared the screen between each section of the calculation, the screen will show "Ans×19937 [=] 4187".
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