HP 35s User Manual

							 
 
hp calculators 
 
 
 
 
HP 35s  Converting programs 
 to line number addressing 
 
 
 
 
Programming the HP 35s 
 
Using line numbers rather than labels 
 
Example 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   
						

							 
hp calculators 
 
HP 35s  Converting programs to line number addressing 
 
hp calculators - 2 - HP 35s  Converting programs to line number addressing - Version 1.0 
Programming the HP 35s 
 
Doing a simple calculation once on the HP 35s is easy. Doing the same calculation many times, or doing a complicated 
calculation, takes longer. It can be better to store all the steps needed for the calculation in a program. A program is a 
set of instructions, stored all together. Once it is written, it can be tested to see if it works correctly. Then it can be used 
many times, without the need to press every key of the calculation each time. 
 
A simple program is just a set of keystrokes stored so that they can be carried out with one key. The HP 35s provides 
many commands to let programs do more, for example stop and ask for input, or show an intermediate result.  
 
This training aid concentrates on converting programs originally written using labels, such as programs written for the 
HP33s, to using line number addressing, as is available on the HP 35s calculator. 
 
Converting programs from labels to line numbers 
 
The HP 35s has 26 labels for use to define programs or transfers to locations within programs. Unlike the HP 33s, the 
HP 35s also includes the ability to transfer execution to specific line numbers within one of the 26 labels. This allows for 
a much greater utilization of program memory without using labels excessively. 
 
Suppose you have the program below and wish to convert it to the HP35s. This program will pause to display the 
intermediate values, given a whole number input, as it performs the steps involved in Ulam’s Conjecture. Will the number 
eventually converge to one or not? (Note: There has been absolutely no attempt to optimize this program!) 
 B011 RCL A 
B012 3 
B013 x 
B014 1 
B015 + 
C001 LBL C 
C002 STO A 
C003 GTO B 
D001 LBL D 
D002 RCL A 
D003 2 
D004 INT÷ 
D005 GTO C 
 Label Version 
A001 LBL A 
A002 STO A 
B001 LBL B 
B002 PSE 
B003 1 
B004 x=y? 
B005 RTN 
B006 xy 
B007 2 
B008 RMDR 
B009 x=0? 
B010 GTO D 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Converting on paper. Given the initial listing, the first suggestion is to make a note next to the first step following each 
LBL instruction after the initial label that starts the routine. These would be the PSE after LBL B, the STO A after LBL C, 
the RCL A after LBL D. Beside each of these steps, write B, C, and D. These will become the steps that line number 
GTOs and XEQs will reference. In the listing below, these steps are BOLD. 
   
						

							 
hp calculators 
 
HP 35s  Converting programs to line number addressing 
 
hp calculators - 3 - HP 35s  Converting programs to line number addressing - Version 1.0 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Now, write the program down again, but this time leave out all LBL instructions – but put the LBL letter next 
to the instruction that follows the now deleted label. Also leave in the GTO (or XEQ) instructions with the 
labels originally referenced. This may make it easier to replace them with the proper line number addresses. 
 
With Line Numbers 
 LBL A 
 STO A 
B PSE 
 1 
 x=y? 
 RTN 
 XY 
 2 
 RMDR 
 x=0? 
 GTO D 
 RCL A 
 3 
 X 
 1 
 + 
C STO A 
 GTO B 
D RCL A 
 2 
 INT÷ 
 GTO C 
 
Now begin numbering the lines starting with A001. When you get to a line with a letter next to it, find the 
GTO or XEQ instruction with that same letter. Change that GTO or XEQ instruction to point to the line 
number of the instruction that had the letter next to it. Line A003 is the first one encountered. 
 
With Line Numbers 
A001 LBL A 
A002 STO A 
B PSE 
 1 
 x=y? 
 RTN 
 XY 
 2 
 RMDR 
 x=0? 
 GTO D 
 RCL A 
 3 
 X 
 1 
 + 
C STO A 
 GTO A003  
**Changed** 
D RCL A 
 2 
 INT÷ 
 GTO C 
 Label Version 
A001 LBL A 
A002 STO A 
B001 LBL B 
B002 PSE 
B003 1 
B004 x=y? 
B005 RTN 
B006 xy 
B007 2 
B008 RMDR 
B009 x=0? 
B010 GTO D 
B011 RCL A 
B012 3 
B013 x 
B014 1 
B015 + 
C001 LBL C 
C002 STO A 
C003 GTO B 
D001 LBL D 
D002 RCL A 
D003 2 
D004 INT÷ 
D005 GTO C   
						

							 
hp calculators 
 
HP 35s  Converting programs to line number addressing 
 
hp calculators - 4 - HP 35s  Converting programs to line number addressing - Version 1.0 
Continue working through the program in this manner. Line A017 is the next one. Then line A019. 
 
With Line Numbers 
A001 LBL A 
A002 STO A 
A003 PSE 
A004 1 
A005 x=y? 
A006 RTN 
A007 XY 
A008 2 
A009 RMDR 
A010 x=0? 
A011 GTO D 
A012 RCL A 
A013 3 
A014 X 
A015 1 
A016 + 
A017 STO A 
 GTO A003 
D RCL A 
 2 
 INT÷ 
 GTO A017 
**Changed** 
 
With Line Numbers 
A001 LBL A 
A002 STO A 
A003 PSE 
A004 1 
A005 x=y? 
A006 RTN 
A007 XY 
A008 2 
A009 RMDR 
A010 x=0? 
A011 GTO A019 
**Changed** 
 
A012 RCL A 
A013 3 
A014 X 
A015 1 
A016 + 
A017 STO A 
A018 GTO A003 
A019 RCL A 
 2 
 INT÷ 
 GTO A017 
 
The final version of the program would look like this: 
 
With Line Numbers 
A001 LBL A 
A002 STO A 
A003 PSE 
A004 1 
A005 x=y? 
A006 RTN 
A007 XY 
A008 2 
A009 RMDR 
A010 x=0? 
A011 GTO A019 
A012 RCL A 
A013 3 
A014 X 
A015 1 
A016 + 
A017 STO A 
A018 GTO A003 
A019 RCL A 
A020 2 
A021 INT÷ 
A022 GTO A017 
 
Conclusion. While there are many ways of converting programs containing labels to use line numbers, this is one 
example. Line number addressing provides many benefits on the HP 35s. 
 
   
						

							 
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hp calculators 
 
 
 
 
HP 35s  General applications – Part 1 
 
 
 
 
General applications 
 
Practice solving problems 
 
- Application 1:  Shape Factor 
 
- Application 2:  Fluid Flow 
 
 
 
   
						

							 
hp calculators 
 
HP 35s  General applications – Part 1 
 
hp calculators - 2 - HP 35s  General applications Part 1- Version 1.0 
 
General applications 
 
This training aid will illustrate the application of the HP 35s calculator to several problems in other areas. These 
examples are far from exhaustive, but do indicate the incredible flexibility of the HP 35s calculator.  
Practice solving problems  
Application 1: Shape Factor 
 
Example 1: What is the shape factor for heat transfer by radiation between two parallel disks 2 feet apart? The radii of 
the disks are 1.5 feet and 3.5 feet.  
Solution: While the formula to solve this problem is not particularly complicated, it does involve a good amount of 
repetitive calculation, making it a very good candidate for the Equation Mode on the HP 35s. In the formula 
below, a is the radius of the first disk, b is the radius of the second disk, and L is the distance between the 
disks. 
 
]*4)([
2
1222222222
2babaLbaL
a
F!!# 
 
 !#4$%&()**%+
+4&(,*-&()*-&(.*/+
+0&&(,*-&()*-&(.**+
+/1%&()*%&(.2   
 Figure 1 + 
 Figure 2 +
 With the equation showing on the bottom line of the screen, press 2   
 Figure 3 
 
 345+  
						

							 
hp calculators 
 
HP 35s  General applications – Part 1 
 
hp calculators - 3 - HP 35s  General applications Part 1- Version 1.0 
 
 Figure 4 
 
 $5 
 
 Figure 5 
 
 6345 
 
 Figure 6 
 
Answer: The shape factor is 0.7263.  
Application 2: Fluid Flow 
 
Example 1: What is the amount of flow of fluid across a weir with a V shaped notch? The angle of the notch is 30 
degrees and the height of the liquid from the bottom edge of the weir is 6 feet. 
 
 Fluid flow = 2.505 x TAN (½ angle) x H 2.47 
 
Solution: First, set the angle mode to degrees: 9 
 
 In RPN mode: $34742672$#8%+
++++92$31:;%  
 In algebraic mode:++$3474%867#$*%+
++++9;$31:2 
+
 Figure 7 ++
Answer: The amount of fluid flow is 56.09 cubic feet per second.  
   
						

							 
hp calculators 
 
 
 
 
hp calculators 
 
 
 
 
HP 35s  General applications – Part 2 
 
 
 
 
Other applications 
 
Practice solving problems 
 
- Application 1:  Aerodynamics 
 
 Example 1: Turn radius and Turn rate 
 
- Application 2:  Electrical Engineering 
 
Example 1: Parallel Resistors 
 
- Application 3:  Civil Engineering 
 
Example 1: Rainfall runoff 
 
 
 
   
						

							 
hp calculators 
 
HP 35s  General applications – Part 2 
 
hp calculators - 2 - HP 35s  General applications Part 2- Version 1.0 
 
General applications 
 
This training aid will illustrate the application of the HP 35s calculator to several problems in other areas. These 
examples are far from exhaustive, but do indicate the incredible flexibility of the HP 35s calculator.  
Practice solving problems  
Application 1: Aerodynamics 
 
Example 1: An airplane is in a steady coordinated turn with a true airspeed of 250 mph at a 40 degree bank angle. 
What is the turn radius in feet and the turn rate in degrees per second? 
 
 The equations are:  
 
 Turn Radius = Velocity 2 ÷ ( g x TAN ( angle ) ) 
 
 Turn Rate = g x TAN ( angle ) ÷ Velocity 
 
 Where g is 32.2 feet per second per second  
Solution: First, convert the speed to feet per second for unit consistency. 
 
 In RPN mode: !#$!%#&
(#)(#)
$(Save for next calculation)
*+,!-!$.#/&)  (Radius in feet) 
 
0,!-!$.#/&(Rate of turn in degrees
0)*1     per second) 
           
 In algebraic mode:*+!#&!%#
)(#)(#2)4 
    ,!-!&/.#$(Radius in feet)
 
    *1,!-!&/.#)
4!#&!%#    (Rate of turn in degrees  
    )(#)(#$   per second) 
 Figure 1 
 
Answer: The turn radius is just under 4976 feet and the rate of turn is approximately 4.22 degrees per second. 
Figure 1 (RPN mode) shows the radius on the second level of the stack and the rate on the bottom level.