Calculate manually with RPN calculator

10302019, 04:53 AM
(This post was last modified: 10302019 09:08 AM by Gamo.)
Post: #1




Calculate manually with RPN calculator
I was thinking about if it worth to open another thread about on
how to use RPN calculator to calculate manually without using program. For example: To find modulo: X mod Y for X > Y Key in as follow: Y [ENTER] [ENTER] X [X<>Y] [÷] (key in only integer part) [] [x] Example: 128 mod 17 17 [ENTER] [ENTER] 128 [X<>Y] [÷] display 7.5294 key in 7 [] [x] display 9 Answer: 9 Could be a good thread to use RPN manually sometime manual calculation is faster than using the program. Gamo 

10302019, 05:52 AM
(This post was last modified: 10302019 05:54 AM by Gamo.)
Post: #2




RE: Calculate manually with RPN calculator
Another example: To find GCD and LCM
To find GCD ( X, Y ) where X < Y Setup: X [ENTER] [ENTER] [ENTER] Y [X<>Y] Iterations: [÷] (input only integer part) [] [x] display <1 ? NO: [ENTER] [ENTER] [Rv] [Rv] continue Iterations YES: [Rv] Finish (Round to an integer if necessary) ————————————————————————— To find LCM ( X, Y) First find the GCD answer. X [ENTER] Y [x] (GCD answer) [÷] ———————————————————————— Example: GCD and LCM of ( 555, 666 ) To find GCD 555 [ENTER] [ENTER] [ENTER] 666 [X<>Y] [÷] Display 1.2 input 1 [] [x] display 111 ( not <1 ) [ENTER] [ENTER] [Rv] [Rv] [÷] Display 5.0 input 5 [] [x] display 0 (now <1) [Rv] display 111 Answer 111 —————————————————— To find LCM 555 [ENTER] 666 [x] display 369630 111 [÷] display 3330 Answer 3330 ————————————————————— Gamo 

10302019, 10:32 AM
Post: #3




RE: Calculate manually with RPN calculator
Check out some of the application manuals for the pre65 models on the museum doc set. This is exactly the sort of thing they do, with the human operator standing in for a programcontrolled algorithm.


10302019, 10:50 AM
(This post was last modified: 10302019 10:55 AM by Gamo.)
Post: #4




RE: Calculate manually with RPN calculator
Dave Britten Thank You
I read the HP45 Applications Book which provide stepbystep solutions to More than 200 problems all with manually keys in steps that also use the Store and Recall store registers. According to this book my GCD and LCM solutions use much fewer steps to Solve the same problem and this book don’t have the modulo calculation. Next post I will show the financial problem to calculate manually by input steps to solve for the interest [i] with known [n] [PV] and [PMT] This will take some iterations process to the solution. Gamo 

10302019, 11:38 AM
Post: #5




RE: Calculate manually with RPN calculator
An excerpt from REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS, 23 [12.00]  HP ADVANCED PRODUCTS DIVISION, HP45 Applications Book, pg. 380
"For two reasons this book will have a cursory interest to readers outside its intended audience of users of HPseries calculators. First, keystroke sequences and examples are listed alphabetically for more than twohundred purposes, including applications from algebra, geometry, statistics and numerical methods, among other areas. With a minimal understanding of the Polish logic of HPseries calculators, most of these sequences can easily be converted to use on other scientific calculators. Secondly and primarily, these sequences are of interest more for their nature than for their specific solution. For they illustrate particularly graphically the recent innovations and inherent limitations of nonprogrammable calculators. To illustrate the advances in calculator capacities, they include directions for such calculations as Bessel and Gamma functions, multiple linear regression,and GaussLegendre quadrature, and readily suggest other potential extensions of handcalculator usage. At the same time, even in their most efficient form the most interesting of these routines require so many keystrokes as to be impractical in real use and to discourage efforts to create counterparts for unlisted topics. The longest sequence in the book, for threevariable linear regression, requires 155 + 32n keystrokes to process n 3tuples of data, a number so large as practically to insure key misstroking. C. MCMANUS" BEST! SlideRule 

10302019, 01:32 PM
Post: #6




RE: Calculate manually with RPN calculator
Nice citation, is there a web link
Pedro 

10302019, 01:54 PM
Post: #7




RE: Calculate manually with RPN calculator  
10312019, 05:13 AM
(This post was last modified: 10312019 06:29 AM by Gamo.)
Post: #8




RE: Calculate manually with RPN calculator
Manually calculate the Interest Rate for an Annuity.
Formula use to solve for [ i ] the interest rate when these three variables are known. n  Period PV  Present Value PMT  Payment f(i) = (PMT ÷ PV) + [ i ÷ 1  (1+i)^n ] ——————————————————— Steps: FIX 4 Setup: n [STO] 0 PMT [ENTER] PV [÷] [ENTER] [ENTER] [ENTER] [.] 1 Iterations: [ENTER] [ENTER] 1 [+] [RCL] 0 [Y^X] 1 [] [÷] [] ——————————————————— Example: n = 25, PV = 2000, PMT = 203.61, i = ? Using HP12C result is 8.9998 or i = 9% On the original HP12C when calculate step to [Y^X] the screen will turn blank momentary. and resume normal operation. Calculate Manually: 25 [STO] 0 203.61 [ENTER] 2000 [÷] display 0.1018 [ENTER] [ENTER] [ENTER] . 1 [ENTER] [ENTER] 1 [+] [RCL] 0 [Y^X] 1 [] [÷] [] display 0.0916 [ENTER] [ENTER] 1 [+] [RCL] 0 [Y^X] 1 [] [÷] [] display 0.0903 [ENTER] [ENTER] 1 [+] [RCL] 0 [Y^X] 1 [] [÷] [] display 0.0900 [ENTER] [ENTER] 1 [+] [RCL] 0 [Y^X] 1 [] [÷] [] display 0.0900 Last two iterations got the same value based on 4 decimal places. [EEX] 2 [x] display 9 Answer: 9% ——————————————————————————— Note: The [.] 1 is a guess Hint: For higher decimal place accuracy simply do more iterations. ——————————————————————————— Gamo 

10312019, 07:17 AM
Post: #9




RE: Calculate manually with RPN calculator
Calculations by hand are indeed helpful
The best collection for gcd, modulus and much more might easily be Ball, Algorithms for RPN Calculators Am not aware of a legal PDF version on the net. If you are using an HP41 Dearing, Calculator Tips & Routines is very good too. That book is available as PDF on the net. Felix 

11022019, 07:46 AM
(This post was last modified: 11022019 07:58 AM by Stevetuc.)
Post: #10




RE: Calculate manually with RPN calculator
(10312019 05:13 AM)Gamo Wrote: Manually calculate the Interest Rate for an Annuity. This works on the prime too, with some modification; First set to fixed 4 and assuming home set to rpn mode: 1'HFormat' [SHIFT STO] 4 'HDigits' [SHIFT STO] 25'X' [SHIFT STO] 203.61 [SPACE or ENTER] 2000 [÷] display 0.1018 [ENTER] [ENTER] [ENTER] .1 [ENTER] [ENTER] 1 [+] X [X^Y] 1 [] [÷] [] display 0.0916 Etc.. 

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