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hp calculators 

 

HP 48GII

  Algebraic and RPN Operating Modes 

 

Whichever way the calculator is used, it provides some very helpful tools. The first one is the 

Stack

, where formulas and numbers 

you have already used are kept for future use. 

 

If you now go through the carpet example, pressing the keys, you will see the difference between Algebraic mode doing a whole 
calculation all at once and RPN mode doing it a step at a time. 

 
First press 

H

 then 

W

 then 

%OK$

 to switch to Algebraic mode, if it is not already set.  

 

Now you are ready to go through the example. Press 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 

 
You typed in the whole expression (6+8)*5 and then you pressed 

`

 to get the answer. The HP48GII helped you by putting the 

whole expression and the result on the stack, as you saw in Figure 1. If you need to use the expression or the answer for a future 

calculation, you can get them by pressing the 

M

 key, then using the up and down keys to select 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 

î

function which is above 

the 

`

 key. By default, the HP48GII gives you ANS(1), the answer to the calculation you did one step back, but you can change 

this to earlier answers, for example ANS(2), the answer to the calculation two steps back. To get ANS(2), press 

„î

, then use 

the arrow keys to get to the 1, then press the delete key 

ƒ

 to delete the 1, and then type in a 2. With Fix 2 mode selected, as in 

these examples, you will see ANS(2.00) on the screen, but that makes no difference to the results. 

 

For example if the carpet you want costs $17.32 per square yard, you get the total price of the carpet you need by pressing 

17.32*„î

, then pressing 

`

 as below. 

 

 Figure 

5

 

 

If you begin a new calculation by pressing 

+

 or 

*

 or 

Q

 or any other command that needs two numbers, the HP48GII will 

assume that you want to use the previous result, and will automatically put ANS(1) in your calculation. As an example, multiply the 
cost of the carpet by 1.035 to add 3.5% tax to its cost. Press 

*1.035

 and you will see: 

 

hp calculators 

- 4 - 

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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