13-14Programming Techniques | HP 33s Scientific specs

Example: Controlling the Fraction Display.

The following program lets you exercise the calculator's fraction–display capability. The program prompts for and uses your inputs for a fractional number and a denominator (the /c value). The program also contains examples of how the three fraction–display flags (7, 8, and 9) and the "message–display" flag (10) are used.

Messages in this program are listed as MESSAGE and are entered as equations:

1.Set Equation–entry mode by pressing H(the EQN annunciator turns on).

2.Press Lletter for each alpha character in the message; press p(the gkey) for each space character.

3.Press to insert the message in the current program line and end Equation–entry mode.

13–14Programming Techniques

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HP 33s Scientific manual 13-14Programming Techniques, Example Controlling the Fraction Display

Contents

Hp 33s scientific calculator Printing History Contents RPN The Automatic Memory Stack Clearing the X-Register Storing Data into Variables Fractions in Programs How You Can Use Equations Summary of Equation Operations For More Information Complex Stack Complex Operations ContentsSolving an Equation Accuracy of Integration Programming 12-6 12-4Data Input and Output 12-4 Entering a Program 12-5 12-7 13-3 13-113-2 Branching GTO 13-4 Vector Operations 15-1 Managing Calculator Memory ContentsPart 3. Appendixes and Reference 15-12 Disabling Operations Neutral Operations Resetting the Calculator Clearing MemoryRound-Off Error Contents About ALG Underflow How the Integral Is EvaluatedConditions That Prolong Calculation Time Page Part Basic OperationPage Important Preliminaries Adjusting Display ContrastGetting Started Turning the Calculator On and Off Highlights of the Keyboard and Display Shifted Keys2Getting Started Alpha Keys Cursor Keys Silver Paint Keys Backspacing and Clearing4Getting Started Equation-entry mode Keyboard-entry modeAre described in Using Menus on page 1-7. If ¾ when number entry is complete 6Getting Started Programming Instructions Using MenusHP 33s Menus Chapter Name Numeric Functions Description Other functions8Getting Started To use a menu function Exiting Menus KeysDisplay To select ALG mode RPN mode ALG modeTo select RPN mode RPN and ALG Keys Display and Annunciators First Line Second Line 2 3 HP 33s Annunciators Meaning Chapter12Getting Started RAD or §,¨ Exponents of Ten Keying in NumbersMaking Numbers Negative Keys Display Description Understanding Digit Entry Keying in Exponents of TenOther Exponent Functions Keys Display Doing ArithmeticRange of Numbers and Overflow 16Getting Started , \, , Qor T One-Number FunctionsTwo-Number Functions Key in the number. You dont need to press ‘ ‘3 z Controlling the Display FormatPeriods and Commas in Numbers D, , \, ,Q Number of Decimal Places Fixed-Decimal Format %Scientific Format Engineering Format SHOWing Full 12-Digit Precision20Getting Started ALL Format Fractions Entering FractionsKeysDisplayDescription 22Getting Started Messages Displaying FractionsDisplayDescription Clearing All of Memory Calculator MemoryChecking Available Memory 24Getting Started RPN The Automatic Memory Stack What the Stack IsRPN The Automatic Memory Stack X and Y-Registers are in the Display Clearing the X-Register2RPN The Automatic Memory Stack Reviewing the Stack ¶ Roll DownRµ Roll Up Arithmetic How the Stack Does It Exchanging the X- and Y-Registers in the Stack4RPN The Automatic Memory Stack How Enter Works Lost 6RPN The Automatic Memory Stack Using a Number Twice in a RowHow Clear x Works Filling the stack with a constant Last X Register 8RPN The Automatic Memory Stack Correcting Mistakes with Last, \, , Qor T Wrong One-Number Function Mistake Reusing Numbers with Last› 96.704 + 10RPN The Automatic Memory Stack Chain Calculations in RPN mode Work from the Parentheses Out 12RPN The Automatic Memory Stack Order of Calculation SolutionExercises 16.3805x5 = 181.0000 More Exercises 14RPN The Automatic Memory Stack‘14 ‘ ⋅ 0.8 ⎟ 12.5 − 0.73 = Page Storing Data into Variables Storing Data into Variables To recall a copy of a number from a variable to the display Storing and Recalling Numbers2Storing Data into Variables Example Storing Numbers Viewing a Variable without Recalling It Reviewing Variables in the VAR CatalogTo review the values at any or all non-zero variables Storage Arithmetic Clearing VariablesArithmetic with Stored Variables 4Storing Data into Variables Recall Arithmetic Result 3 That is, x Exchanging x with Any Variable LzE6Storing Data into Variables Variable Page Real-Number Functions Exponential and Logarithmic FunctionsReal-Number Functions To Calculate Press Power FunctionsQuotient and Remainder of Division 2Real-Number Functions Trigonometry Entering πTo Calculate Press Result Option Description Annunciator Setting the Angular ModeTrigonometric Functions 4Real-Number Functions NzR Programming Note 6Real-Number Functions Hyperbolic FunctionsPercentage Functions ‘x Q 16.12 ‘ 15.76 T . Physics Constants Const Menu Items Description Value8Real-Number Functions Conversion Functions Items Description ValueTo insert a constant Coordinate Conversions 10Real-Number FunctionsTo convert between rectangular and polar coordinates Example Polar to Rectangular Conversion Example Conversion with Vectors To convert between decimal fractions and minutes-seconds Time Conversions12Real-Number Functions Example Converting Time Formats To Convert Press Displayed Results Angle ConversionsUnit Conversions To convert an angle between degrees and radians Gamma Probability FunctionsFactorial Probability Keys Example Combinations of PeopleDisplay Parts of Numbers 16Real-Number Functions Names of Functions Page Fractions Entering Fractions Fractions in the Display Display Rules2Fractions Accuracy Indicators Entered Value Internal Value Displayed Fraction Changing the Fraction Display Longer Fractions4Fractions Setting the Maximum Denominator Choosing a Fraction Format Fraction How 2.77 Is Displayed Format Examples of Fraction DisplaysTo Get This Fraction Format Change These Flags 6Fractions Rounding Fractions Fraction Number Entered and Fraction Displayed Format ¼Denominator Fixed Fractions in Equations 8Fractions Fractions in Programs Page Entering and Evaluating Equations Entering and Evaluating EquationsHow You Can Use Equations Example Calculating with an Equation ZNz ZLL2Entering and Evaluating Equations Enters and leaves Equation mode Summary of Equation OperationsKey Operation 4Entering and Evaluating Equations Entering Equations into the Equation ListVariables in Equations To enter an equation Numbers in Equations Functions in Equations LR d Displaying and Selecting EquationsParentheses in Equations ZLC z To view a long equation Editing and Clearing Equations——— To select an equation 8Entering and Evaluating Equations Types of Equations Evaluating Equations Fx ¼ Type of Equation Result for ‘10Entering and Evaluating Equations To evaluate an equation Using Enter for Evaluation Example Evaluating an Equation with Enter 12Entering and Evaluating Equations Using XEQ for EvaluationResponding to Equation Prompts Example Evaluating an Equation with XEQ ‘5 g Syntax of EquationsOperator Precedence „ To display digits hidden by the prompt, press Order Operation Example Equations Meaning14Entering and Evaluating Equations Equation Functions Σxy Example Perimeter of a Trapezoid Operation Equation function16Entering and Evaluating Equations Perimeter = a + b + h Example Area of a Polygon HLA ’.25 zLN zLD 2 zR NqLN `qONqLN `‘Cos π / n Area = 18Entering and Evaluating Equations Syntax ErrorsVerifying Equations Example Checksum and Length of an Equation Solving Equations Solving EquationsSolving an Equation Markup ⋅ Cost = Price 2Solving Equations LD dLVZLT › Example Solving the Equation of Linear Motion Value 4Solving Equations HL P zZL T Example Solving the Ideal Gas Law Equation LV q Understanding and Controlling Solve Verifying the Result 6Solving Equations Interrupting a Solve Calculation Choosing Initial Guesses for Solve Example Using Guesses to Find a Root 8Solving Equations 40 H ZL H 10Solving Equations For More Information Page Integrating Equations Integrating Equations Integrating Equations ≥ FN J0 x = π1 ≥0π cos x sin t dt2Integrating Equations ≥ 0π f t Value 4Integrating Equations Example Sine Integral= ≥ t Accuracy of Integration 6Integrating Equations Specifying AccuracyInterpreting Accuracy Example Specifying Accuracy Example Changing the Accuracy 8Integrating Equations Its uncertainty indicates + iy Operations with Complex NumbersComplex Stack To enter a complex number Complex Operations 2Operations with Complex NumbersTo do an operation with one complex number Functions for One Complex Number, z To Calculate Press To do an arithmetic operation with two complex numbers ‘2 ‘ ‘4 2 5 ‘4Operations with Complex Numbers ‘2 Using Complex Numbers in Polar Notation2 3 ‘ 6Operations with Complex Numbers Example Vector Addition Operations with Complex Numbers Page Menu label Description Base Conversions and ArithmeticBase Menu Base Conversions and Arithmetic Arithmetic in Bases 2, 8, 10-2Base Conversions and Arithmetic Keys Display ˜˜ Representation of NumbersNegative Numbers 10-4Base Conversions and Arithmetic Range of Numbers 7FFFFFFFF Windows for Long Binary Numbers 10-6Base Conversions and Arithmetic Statistical Operations Entering Statistical DataStatistical Operations Entering Two-Variable Data Correcting Errors in Data EntryEntering One-Variable Data 11-2Statistical Operations Initial x, y Corrected x, y 400‘20 Statistics Menus Key Description Statistical CalculationsMean 11-4Statistical Operations Price per Part Example Weighted Mean Two Variables· Number of Parts y Uº Sample Standard DeviationPopulation Standard Deviation 11-6Statistical Operations Keys DisplayDescription Linear Regressionσº Linear Regression Menu Nitrogen Applied 11-8Statistical OperationsExample Curve Fitting Grain Yield Limitations on Precision of Data 70, y 11-10Statistical Operations Summation Values and the Statistics RegistersSummation Statistics Normalizing Close, Large Numbers Example Viewing the Statistics Registers Access to the Statistics RegistersStatistics Registers in Calculator Memory # ™ ´º¸/ ™ ´¸/ ™ ´º/ ™ ´¸/ ™ ´º/ ‡ 11-12Statistical Operations Programming Page Simple Programming RPN mode 5 !Nz ALG mode 5 !zN‘Simple Programming Example a Simple Program Display Description RPN mode ALG modeRPN mode 12-2Simple Programming Program Boundaries LBL and RTN Selecting a ModeDesigning a Program Program Labels Strengths of RPN Operations Using RPN, ALG and Equations in ProgramsData Input and Output ALG Operations Entering a Program To enter a program into memory Keys That Clear 12-6Simple ProgrammingTo enter an equation in a program line RPN mode Function Names in ProgramsExample Entering a Labeled Program 12-8Simple Programming HN ZLR Example Entering a Program with an Equation Executing a Program XEQ Testing a ProgramRunning a Program NzX Example Testing a Program 12-10Simple Programming Using Input for Entering Data Entering and Displaying Data@ 12-12Simple Programming To use the Input function in a program Using View for Displaying Data To respond to a prompt Using Equations to Display Messages 12-14Simple ProgrammingExample INPUT, VIEW, and Messages in a Program ›p NzLR LR z › LH = 2π R2 + 2π RH = 2π R R + H Displaying Information without Stopping 12-16Simple Programming Programming a Stop or Pause STOP, PSE Error StopsStopping or Interrupting a Program Interrupting a Running Program To delete a program line Editing a Program12-18Simple Programming To insert a program line Program Memory Viewing Program Memory Clearing One or More Programs Memory UsageCatalog of Programs MEM 12-20Simple Programming Checksum To clear all programs from memory Programming with Base Selecting a Base Mode in a ProgramNonprogrammable Functions V Numbers Entered in Program Lines Decimal mode set Hexadecimal mode setPolynomial Expressions and Horners Method Ax4 + Bx3 + Cx2 + Dx + E Keys Display ALG mode ‰X12-24Simple Programming Checksum and length E41A Page Programming Techniques Routines in ProgramsProgramming Techniques Calling Subroutines XEQ, RTN 13-2Programming Techniques Nested Subroutines Example a Nested Subroutine Branching GTO 13-4Programming TechniquesA2 + B2 Using GTO from the Keyboard Programmed GTO Instruction Conditional Instructions 13-6Programming Techniques Tests of Comparison x?y, x?0 Test Menus 13-8Programming Techniques Program Lines Description RPN modeFlags !- % ! ! ! º¸@ ! Flag Fraction-Control Flags Status ClearSet 13-10Programming Techniques Using Flags Flags Menu Menu Key DescriptionAnnunciators for Set Flags Example Using Flags 13-12Programming Techniques Program Lines Description RPN mode $ @ $ $ @ $ 13-14Programming Techniques Example Controlling the Fraction Display Program Lines Description Loops 13-16Programming Techniques Conditional Loops GTO ! ! . ! º6¸@ ! #$ ! Loops with Counters DSE, ISG 13-18Programming TechniquesLoop-Control Number $ $ ! $$ Indirectly Addressing Variables and Labels Variable13-20Programming Techniques Indirect Address If i contains Then i will address Example Choosing Subroutines With Program Control with13-22Programming Techniques ! L - L & %1L2 If i holds Then XEQi callsProgram lines Example Loop Control With Equations with 13-24Programming Techniques L 1L2 Page Solving and Integrating Programs Solving and Integrating ProgramsSolving a Program To solve a programmed function Example Program Using ALG 14-2Solving and Integrating ProgramsV= N x R x T Pressure ⋅ volume. Pressure ⋅ volume Example Program Using Equation LP z LV ’ LN z LR z LT ‘14-4Solving and Integrating Programs @ @ ‘10 !@ # / / label #variable Using Solve in a Program14-6Solving and Integrating Programs Example Solve in a Program Program Lines In RPN mode Integrating a ProgramTo integrate a programmed function 14-8Solving and Integrating Programs To write a program for ≥ FN Using Integration in a Program Sin/ label 14-10Solving and Integrating Programs ≥ G variableExample ≥ FN in a Program Restrictions on Solving and Integrating Page Mathematics Programs Mathematics ProgramsVector Operations = R cosP = arctan 15-2Mathematics Programs = XU + YV + ZWV1 = X i + Y j + Z k V2=U i + V j + W k X2 + Y2 + Z2 and P Program Listing Program Lines Description ALG mode 15-4Mathematics Programs Goes to the vector-addition routine 15-6Mathematics Programs Flags Used RemarksProgram Instructions 15-8Mathematics Programs Variables Used XR 15-10Mathematics Programs@ 07 g !@ 125 g @ Solutions of Simultaneous Equations 15-12Mathematics ProgramsAX + DY + GZ = J BX + EY + HZ = K CX + FY + IZ = L % 15-14Mathematics Programs Mathematics Programs 15-16Mathematics Programs Flags Used 15-18Mathematics Programs Scratch @ @ Polynomial Root Finder15-20Mathematics Programs @ @ X2 + J Lx + K M = Where J = a3/2 = y0 /2X2 + J + Lx + K + M = ⋅ the sign of JK a1/2 15-22Mathematics Programs Polynomial 15-24Mathematics Programs ! B2= -a2 Checksum and length C7A6B0 =a04a0 a32 a12 B1 = a3a1 4a0 15-26Mathematics Programs JK. a1 + L + M 15-28Mathematics Programs Terms and Coefficients Order 15-30Mathematics Programs %/ Coordinate Transformations 15-32Mathematics Programs Old coordinate System 15-34Mathematics Programs Checksum and length 8C82 15-36Mathematics Programs Remark Ÿ @ 15-38Mathematics Programs Statistics Programs Curve FittingStatistics Programs = B + MIn 16-2Statistics Programs Description 16-4Statistics Programs #$ #$ 16-6Statistics Programs 16-8Statistics Programs XS%@ 40.5 g &@ value 104.5 g %@ 38.6 g &@ %@ 37.9 g &@ 16-10Statistics Programs // / %@ Logarithmic Exponential Power Normal and Inverse-Normal Distributions 16-12Statistics Programs Function 16-14Statistics Programs ª º ª -+. H % ! Variable used temporarily to pass the value S ⋅ 2 π to Inverse programXS@ 16-16Statistics Programs Grouped Standard Deviation 2f − 16-18Statistics Programs Updates ƒxi 2fi in register Increments or decrements N 16-20Statistics Programs %@ @ Group/ XU/ %@ 13 g @ / %@ 16-22Statistics Programs%@ %@ Miscellaneous Programs and Equations Time Value of MoneyMiscellaneous Programs and Equations ›LI …LN `QLI ›LF z 17-2Miscellaneous Programs and Equations Solve instructions Keys Display Description RPN mode šas17-4Miscellaneous Programs and Equations Retains 5750 in B calculates monthly interest rate Prime Number Generator 17-6Miscellaneous Programs and Equations LBL Y 17-8Miscellaneous Programs and Equations #$ No test is made to ensure that the input is greater than 17-10Miscellaneous Programs and Equations Appendixes and Reference Page Calculator Support Support, Batteries ServiceSupport, Batteries, and Service A-1 Answers to Common Questions 2Support, Batteries, and Service Environmental LimitsChanging the Batteries Support, Batteries, and Service A-3 To install batteries Do not mutilate, puncture, or dispose of batteries Testing Calculator Operation4Support, Batteries, and Service Fire. The batteries can burst or explode Support, Batteries, and Service A-5 Self-Test™Ÿ˜—š Warranty 6Support, Batteries, and Service Service Support, Batteries, and Service A-7Europe Country Telephone numbers 8Support, Batteries, and Service Asia Pacific Country Telephone numbersAmerica Country Telephone numbers Support, Batteries, and Service A-9 Regulatory InformationCanada 10Support, Batteries, and Service Japan User Memory and the Stack Managing Calculator MemoryUser Memory and the Stack Resetting the Calculator 2User Memory and the Stack Default Clearing MemoryCategory Neutral Operations Status of Stack LiftDisabling Operations 4User Memory and the Stack Vlabel nnnn EQN FDISP Status of the Last X Register 6User Memory and the Stack€ θ ,r ALG Summary About ALGALG Summary C-1 Simple Arithmetic Power FunctionsDoing Two-number Arithmetic in ALG 2ALG Summary Percentage Calculations ‘27 Q…ALG Summary C-3 16.12 T Permutations and CombinationsQuotient and Remainder Of Division 4ALG Summary Keys Display Description ALG Summary C-5 Reviewing the Stack 6ALG Summary Coordinate Conversions ALG Summary C-7 Integrating an Equation Q3 z8ALG Summary To view the result of complex operations Operations with Complex NumbersALG Summary C-9 Complex Operations 2 ›3 ` ` Q2 › 10ALG Summary ºy4 ÃË2 Ë5 ¹cº  ºy3 ÃË ALG Summary C-11 Initial x, y Corrected x, y 12ALG Summary 20 ALG Summary C-13Page More about Solving How Solve Finds a RootMore about Solving D-1 2More about Solving Function Whose Roots Can Be Found Interpreting Results More about Solving D-3Example An Equation With One Root 4More about Solving Example An Equation with Two Roots / More about Solving D-5/ -%. 6More about Solving LX `’1.5 Example Discontinuous Function − 1= More about Solving D-7 When Solve Cannot Find a Root 8More about Solving More about Solving D-9 Example a Relative Minimum 10More about Solving Example An Asymptote More about Solving D-11 ⎟ x + 0.3 − 0.5 =#LX q LX ›3 ``… Example Find the root of the equation 12More about Solving !1%ª1%-22Example a Local Flat Region Round-Off Error More about Solving D-13 Underflow 14More about Solving More about Integration How the Integral Is EvaluatedMore about Integration Conditions That Could Cause Incorrect Results 2More about Integration ≥0∞ xe −x dx ‡ LX zLX ` 4More about Integration More about Integration 6More about Integration Conditions That Prolong Calculation Time 8More about Integration . More about Integration Page Messages Messages F-1 2Messages Or program. This might take a while Messages F-3 # variable 4Messages Self-Test Messages Operation Index Name Keys and DescriptionOperation Index G-1 h ˜or —j 2Operation Index Operation Index G-3 Polar to rectangular coordinates P 4Operation Index M Operation Index G-5 ›Complex 6Operation IndexGComplex Change sign …Complex Subtraction Operation Index G-7 VRadians to degrees 8Operation IndexRHyperbolic DSE variable Mvariable Wlabel Operation Index G-9Natural exponential ?Fractional part label 10Operation IndexGTO label Vlabel Nnnn Input variable ‰variable ”I”Operation Index G-11 Integer part ISG variable Lvariable Natural logarithm 12Operation IndexLBL label •label Common logarithm FPause Operation Index G-13Permutations of n items WDegrees to radians 14Operation Index Operation Index G-15 16Operation Index Operation Index G-17 18Operation Index If x=0, skips the next program Line ≤0? 13-7 Operation Index G-19≠0? 13-7 11-10 Given an x-value Power Returns y raised to the xth power 20Operation Index Index Index-1 Index-2 Index-3 Index-4 Index-5 Index-6 Index-7 Index-8 Index-9 Index-10 Index-11 Index-12 RPN Index-13 Index-14 View Index-15