## Monday, August 27, 2018

### HP 12C Platinum and DM 41L: Rounding Numbers

HP 12C Platinum and DM 41L:  Rounding Numbers

Introduction

The following programs will round any positive number to any number of decimal places, regardless of your fix/float settings.  The formula for rounding x to n decimal places:

int(10^n * x + 0.5) / 10^n

HP 12C Platinum Program (also for HP 12C): Rounding a positive number

 Step Key Code Key 001 1 1 002 0 0 003 34 x<>y 004 21 y^x 005 20 * 006 43, 40 LST x For HP 12C regular: the code is 43, 36 007 34 x<>y 008 48 . 009 5 5 010 40 + 011 43, 25 ITNG 012 34 x<>y 013 10 ÷ 014 43, 33, 000 GTO 000

DM 41L (also for HP 41C) Program ROUND: Rounding a positive number

01 LBL ROUND
02 10^X
03 *
04 LASTx
05 x<>y
06 .5
07 +
08 INT
09 x<>y
10 /
11 RTN

Examples

Instructions:  Enter x, press [ENTER], enter n, execute the program

 x n Result 0.83 1 0.8 8.21365 4 8.2137 170561.7737 0 170562 π 4 3.1416

Source:

Keith Oldham, Jan Myland, and Jerome Spanier  An Atlas of Functions Second Edition,  Springer.  2009 ISBN 978-0-387-48806-6

Eddie

All original content copyright, © 2011-2018.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.  Please contact the author if you have questions.

## Sunday, August 26, 2018

### Happy 100th Birthday Katherine Johnson!

Happy 100th Birthday Katherine Johnson!

Happy birthday to a legend in mathematics and astronomy, Katherine Johnson!

NASA’s autobiography of Katherine Johnson:

West Virginia State University Honors Johnson and Names a Scholarship after her:

Daily Press:  ‘Human Computer’ turns 100

May the 100th birthday find the Ms. Johnson in good health and in good spirits.  May the women of Hidden Figures be no longer hidden and remembered and celebrated for centuries to come.

Eddie

### HP 12C Platinum: Cosine of an Angle

HP 12C Platinum:  Cosine of an Angle

Introduction

This is a fairly short program of an angle.  The angle is in radians.  This is adapted from the TI-84 Plus COSRAD program from the book Inside Your Calculator (see Source section below).

HP 12C Platinum Program:  Cosine of an Angle

The angle is entered in radians.  This program can be adopted for the regular HP 12C.

 Step Key Code Key Comment 001 44, 0 STO 0 Begin program 002 2 2 003 21 y^x You could use x^2 on the Platinum 004 4 4 005 2 2 006 9 9 007 4 4 008 9 9 009 6 6 010 7 7 011 2 2 012 9 9 013 6 6 014 10 ÷ 015 44, 1 STO 1 016 1 1 Set counter 017 6 6 018 44, 2 STO 2 019 4 4 Loop begins 020 45, 1 RCL 1 021 30 - 022 45, 1 RCL 1 023 20 * 024 44, 1 STO 1 025 1 1 026 44, 30, 2 STO- 2 Decrease counter 027 45, 2 RCL 2 028 43, 35 x=0 029 43, 33, 031 GTO 031 030 43, 33, 019 GTO 019 031 1 1 032 45, 1 RCL 1 033 2 2 034 10 ÷ 035 30 - 036 43, 33, 000 GTO 000

Examples (FIX 6 setting):

cos 0.445 ≈ 0.902611
cos 2 ≈ -0.416147
cos -4.180 ≈ -0.507593
cos π/6 ≈ cos 0.523599 ≈ 0.866025

Source:

Gerald R. Rising.  Inside Your Calculator:  From Simple Programs to Significant Insights  Wiley-Interscience, John Wiley & Sons, Inc: Hoboken, New Jersey.  2007. ISBN 978-0-470-11401-8

Eddie

All original content copyright, © 2011-2018.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.  Please contact the author if you have questions.

## Saturday, August 25, 2018

### HP 15C: Pricing Calculations (Gamo)

HP 15C:  Pricing Calculations (Gamo)

Introduction

The following program is a solver for cost, price, markup, and margin – developed by Gamo, which was emailed to me. The program (shown for the HP 15C).  Program listed here with permission and much thanks and gratitude to Gamo.

HP 11C and HP 15C Program:  Pricing Calculations

Note:  Key codes are for the HP 15C.

 Step Key Code Key Comment 001 42, 21, 11 LBL A Start Cost Routine 002 44, 1 STO 1 003 0 0 004 43, 30, 6 TEST 6, x≠y 005 43, 32 RTN 006 45, 2 RCL 2 007 1 1 008 45, 3 RCL 3 009 43, 14 % 010 40 + 011 10 ÷ 012 43, 32 RTN 013 42, 21, 12 LBL B Start Price Routine 014 44, 2 STO 2 015 0 0 016 43, 30, 6 TEST 6 , x≠y 017 43, 32 RTN 018 45, 1 RCL 1 019 45, 3 RCL 3 020 43, 14 % 021 40 + 022 43, 32 RTN 023 42, 21, 13 LBL C Enter Markup Routine 024 44, 3 STO 3 025 0 0 026 43, 30, 6 TEST 6, x≠ y 027 43, 32 RTN 028 45, 1 RCL 1 029 45, 2 RCL 2 030 43, 15 Δ% 031 43, 32 RTN 032 42, 21, 14 LBL D Margin to Markup routine 033 44, 4 STO 4 034 0 0 035 43, 30, 6 TEST 6, x≠y 036 43, 32 RTN 037 45, 3 RCL 3 038 15 1/x 039 26 EEX 040 16 CHS 041 2 2 042 40 + 043 15 1/x 044 43, 32 RTN 045 42, 21, 15 LBL E Markup to Margin routine 046 44, 3 STO 3 047 0 0 048 43, 30, 6 TEST 6, x≠y 049 43, 32 RTN 050 45, 4 RCL 4 051 15 1/x 052 26 EEX 053 16 CHS 054 2 2 055 30 - 056 15 1/x 057 43, 32 RTN

Registers:

R1 = Cost
R2 = Price
R3 = Markup
R4 = Margin

Instructions:

The program primary runs on the cost-price-markup calculation, which belongs to labels A, B, and C, respectively.

Conversions between margin and markup are used between labels D and E.  Gamo recommends that you set the calculator in FIX 2 mode and press [ f ] (USER) prior to running this program.

This program is set up to be a solver similar to the HP 12C and Hewlett Packard other financial calculators.

Examples

It is assumed that FIX 2 is set and USER mode is turned on.

Example 1: (from Gamo)

Cost = 66.46
Price = 105.00

Keystrokes:

66.46 [ A ]
105.00 [ B ]
[ C ], Markup =  57.99
[ C ] [ D ], Margin = 36.70

Example 2:

Cost = 2500.00
Margin = 10.00

2500 [ A ]
10 [ D ]
[ E ] [ C ] [ B ],  Price = 2777.78

Example 3:

Price = 48.75
Markup = 10.00

48.75 [ B ]
10.00 [ C ]
[ A ], Cost = 44.32

Example 4:  Margin/Markup Calculation

Markup = 54.00

54.00 [ E ]
[ D ],  Margin = 35.06

Eddie

All original content copyright, © 2011-2018.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.  Please contact the author if you have questions.

### TI-Nspire: Templates to Plot Functions, Parametric Equations, and Sequences

TI-Nspire:  Templates to Plot Functions, Parametric Equations, and Sequences Introduction The following are sample templates to plot functi...