Casio fx 5000F  Exponents

01112016, 09:02 AM
Post: #1




Casio fx 5000F  Exponents
Hello,
I just discovered this surprising feature on the Casio fx5000F, visually nice but somehow functionally useless: On the keyboard, there's not only the "x^y" function but also a "x^n" function ! e.g. on keying 2.67^13, and for the same result, using the "x^y" function displays "2.67x^{y}13", but using the "x^n" function displays 2.67^{13} ! I think it's related to its large character set (Uppercase and lowercase alphabet, greek letters, physical constants) and formula programming type letting it calculate input as compact as "ax^{2}+bx+c" Did you ever see such a "x^n" function on a calculator ? 

01112016, 04:16 PM
Post: #2




RE: Casio fx 5000F  Exponents
According to the manual "x^n" is specifically for positive integer powers, while "x^y" is for real numbers. I don't have one of these calculators, but I assume that you'll get an exact integer result from "x^n" always.
katie 

01112016, 04:35 PM
Post: #3




RE: Casio fx 5000F  Exponents
As a sideline note, several old nonscientific calculators had an x^N key for integer powers. The Lloyd's 615 and Sharp EL8118 [a^N here] are examples.


01152016, 07:04 AM
Post: #4




RE: Casio fx 5000F  Exponents
I have quite a lot of Casios, and the 5000f, too. This small number exponent is a function which, as far as i know, none of the other casios has (at least of the series  neither the 3000, 3600, 3800, 5000f has it). I must also say that i do not really see the need for the function, as x^y is enough for me.


01152016, 05:39 PM
Post: #5




RE: Casio fx 5000F  Exponents
This is intriguing matter.
I'm not a mathematician but I believe the calculator may be using different algorithms depending on the exponent type (integer or real). Wikipedia has an interesting article here. However, on my fx5000F I get exactly the same result using x^n or x^y as long as the exponent is a integer of course. When the exponent is a real value it is not possible to do any comparison as only the x^y function will accept it. So in the end I agree that x^y should be sufficient, despite that the x^n is a direct function while the x^y is a shifted function and requires one more keystroke. Jose Mesquita RadioMuseum.org member 

01152016, 08:08 PM
Post: #6




RE: Casio fx 5000F  Exponents
If the machine has two different algorithms, it should be able to decide by itself which one to use... I dont know why that was made.


01152016, 08:17 PM
Post: #7




RE: Casio fx 5000F  Exponents
Have you tried both with negative X?
Marcus von Cube Wehrheim, Germany http://www.mvcsys.de http://wp34s.sf.net http://mvcsys.de/doc/basiccompare.html 

01152016, 09:30 PM
Post: #8




RE: Casio fx 5000F  Exponents
x^{n} does only accept positive integers, no negatives. the main difference to x^{y}, which accepts any numbers, is the designation on the display:
if you type 123 [x^{y}] 456 it shows up on the calc as 123x^{y}456, which calculates 123^456. so, x^{y} is kind of similar to our wellknown y^{x}  it raises one number to the power of the second number. the x^{n} key is more like a shift key. if you want the same result, you have to press 123 [x^{n}] 4 [x^{n}] 5 [x^{n}] 6 (note the second and the third x^{n}). This will be shown on the display as 123^{456} (with a tiny 4, 5 and 6, but without a special character for the x^{n} key. This can reduce the memory needed for stored formulas by one byte, and it looks nice  still it is of little use as far as i think. 

01152016, 09:47 PM
Post: #9




RE: Casio fx 5000F  Exponents
What about (1)^2 with either x^n or x^y?
Marcus von Cube Wehrheim, Germany http://www.mvcsys.de http://wp34s.sf.net http://mvcsys.de/doc/basiccompare.html 

01162016, 10:11 AM
(This post was last modified: 01162016 10:20 AM by damaltor.)
Post: #10




RE: Casio fx 5000F  Exponents
the base number can be any number, just the exponent has to be positive integer. The calculated results are perfectly correct.
here is the relevant part of the manual: Unfortunately you cannot see here that you can repeat the x^{n} structure, that is mentiones somewhere earlier in the manual. edit: here it is: 

01162016, 02:44 PM
(This post was last modified: 01162016 02:46 PM by jebem.)
Post: #11




RE: Casio fx 5000F  Exponents
(01152016 08:08 PM)damaltor Wrote: If the machine has two different algorithms, it should be able to decide by itself which one to use... I dont know why that was made. It seems to have two algorithms here.This is why the fx5000F have two different functions from the keyboard: One for real and other for integer values. In fact there are more key functions available that could be considered redundant as well, if you consider the 10^x or the x^2 keys. This is not exclusive of this calculator model. Manufacturers like to include direct, some times redundant, access to functions for what they believed were the most popular at the time. As explained in the link from Wikipedia, x^n is a simple operation of multiplying x n times and can be done with a very simple algorithm, saving power and be faster than other methods. Jose Mesquita RadioMuseum.org member 

01162016, 03:27 PM
Post: #12




RE: Casio fx 5000F  Exponents
That is right  but on an old calculator, on which every little firmware byte counts, why would you make two algorithms?
i rather guess that the visual style is why this was made  the calculator is heavily made for formula programming, so seeing 123²³ on the display is somewhat nicer than 123x^{y}23 if you try to recall what this or that formula was made for. 

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