How to calculate 3^97 mod 353 from 100ms casio calculator.???

Hello.

You would be looking for a function called 'MOD' which returns a remainder. so 7 MOD 6 = "1".

If your calculator does not have the MOD function... then you can do it by 7 divide by 6 = 1.16666... then take the fractional portion 0.16666 and multiple by your divisor, 0.166666 x 6 = "1". So you can easily calculate it.
Hope this helps
Jeff

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 seemed there is no Modulo function in fx-100MS. But Mod is just the remainder of a division operator.

So if you have A mod B = C, divide A by B, subract the remaining whole number, and multiply it by B to get C.

Example:

7 mod 4 = 3

In the Calculator:

7 / 4 = 1.75, then 1.75 - 1 = 0.75. Then 0.75 x 4 = 3

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 lack of a mod function makes this more than a bit painful. Here's one way:

Press MODE 4 to go into BASE-N (integer) mode. If the display doesn't read "Dec", press the x^2 key. Now calculate 4587-4587/8*8 (press 4 5 8 7 - 4 5 8 7 / 8 * 8 =, where * is the multiply and / is the divide).

You can calculate other mod problems the same way. a mod b is a-a/b*b.

Press MODE 1 to return to your previously scheduled calculations.

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

u get 1,3,4 and ans is center number... result=3..

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".

If you are thinkink of the modulo function, usually shortened to mod(, I am sorry to say it but that function does not exist on the calculator.
However, there is MODE button that one uses to set the operation mode of the calculator.
You have three principal mode setting
COMP: the general computational mode
SD: a statistics mode to calculate Standard Deviations
REG: to perform REGression analyses on statitical data.

Once you have chosen the preferred calculator mode (COMP, SD, or REG) other choices (dependent on the main calculator mode) will be available.

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...