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hp calculators 

 

HP 48GII

  Algebraic and RPN Operating Modes 

 

Calculation Modes 

 

You can type calculations on the HP48GII, in “textbook” mode, in “algebraic” mode, or “RPN” mode. 

 
When you want to use a formula or an expression, you can type it the way it looks in a textbook. This is neat and is called “textbook” 

mode. Then you can admire the formula, or plot it, or integrate it, or solve it for different unknown variables. Or you can just work out 

its value. 

 
Yet to work out the value of a formula it is easier to type it using algebraic mode or RPN mode, and just get the answer. 

 

Here is a very simple example. There is no need to type it on your calculator yet, just read it. 

 

A simple example - the area of a piece of carpet 

 

You want to know the total area of carpet for two rooms, one 6 yards long, one 8 yards long, both 5 yards wide. So you need to 

calculate (6 + 8) * 5. 
 

In algebraic mode you work out the total length first, that’s 6 yards + 8 yards. Then you multiply by the width, 5 yards. So you would 

type these keys:  

 

!  Ü   

This gives the brackets to put around (6+8) 

6  +  8

  This gives the 6+8 

   

 

This moves past the right bracket 

*  5 

 

This multiplies by 5 

`

   

 

This tells the calculator that the formula is finished so it can now get the answer 

 

and you would you see the answer like this: 
 

 Figure 

1

 

 

In RPN you work out the total length first too. You type 6, then type 8 and add it. Then you type 5 and multiply: 

 

6  ` 

 

This puts the 6 in the calculator, ENTER separates it from the next number 

8  + 

 

This gives the 8 and adds it 

5

 

 

This gives the 5 and multiplies by it 

 
and you would see the answer like this: 

 

 Figure 

2

 

 

Algebraic mode is simple if you know the formula, and it takes just 9 keys. Count them. 

 
RPN mode is simple too. You do not even use a formula, and you press only 6 keys. 

hp calculators 

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HP 48GII

  Algebraic and RPN Operating Modes 

Summary of Contents for 48GI

Page 1: ... RPN Operating Modes Calculation Modes A simple example the area of a piece of carpet Setting the mode Algebraic and RPN modes and the stack The command line Example a more complicated expression Example which stepladder The Operating Mode ...

Page 2: ...ong both 5 yards wide So you need to calculate 6 8 5 In algebraic mode you work out the total length first that s 6 yards 8 yards Then you multiply by the width 5 yards So you would type these keys Ü This gives the brackets to put around 6 8 6 8 This gives the 6 8 This moves past the right bracket 5 This multiplies by 5 This tells the calculator that the formula is finished so it can now get the a...

Page 3: ...numbers such as 2 3 will be automatically converted to approximate results such as 0 666666666667 Press H then C below the CAS menu label to select the CAS Modes form Press the down arrow key twice to reach the Approx selection If this already has a check mark by it then you do not need to set it so press the E key below the CANCEL menu label If Approx is not checked then press C below the CHK men...

Page 4: ...what you need then pressing the menu keys These let you edit an expression or view it in textbook mode or echo a copy to the bottom of the stack so you can use it again see Figure 4 Figure 4 If you want to use an earlier answer in another calculation you can also use to access the îfunction which is above the key By default the HP48GII gives you ANS 1 the answer to the calculation you did one step...

Page 5: ...d not use brackets and indeed RPN is designed to work without brackets This makes it somewhat quicker to type than Algebraic mode the carpet example took 6 keystrokes in RPN and 9 in Algebraic mode Polish Notation a mathematical notation without brackets was introduced by the Polish mathematician Jan Lukasiewicz in the 1920s In RPN the operations such as or or S are done after the number is entere...

Page 6: ... press to put a number on the stack if you are going to use it at once In the case above you can press to put 17 32 on the stack and then press to multiply 70 by 17 32 but you can skip the and just press to get the answer You do need to press if you are typing two numbers one after another as in the carpet example Example a more complicated expression Here is a more complicated expression to compa...

Page 7: ...in the Algebraic example above RPN would take 3 less keystrokes If you are willing to work out how to do the calculation RPN saves you any confusion about brackets and works with fewer keystrokes If you are new to HP calculators try using both modes and see if you prefer one or the other or if you want to switch between them as you use the HP48GII Example which stepladder Many people would prefer ...

Page 8: ...t Algebraic mode is less well suited to such step by step calculations especially because î must be used repeatedly to bring back the result of the previous calculation Once all the examples have been completed it may be worth returning the calculator to its normal modes It can also be helpful to clear the stack by pressing The Operating Mode The examples and explanations in this training aid have...

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