Showing posts with label TI-68. Show all posts
Showing posts with label TI-68. Show all posts

Saturday, May 22, 2021

Retro Review: Sharp EL-5100

Retro Review:  Sharp EL-5100





Company:  Sharp
Year Introduced:  1979
Type:  Scientific, Formula Programming
Memory:  80
Operating System: Algebraic
Memory Registers: 11, A through J, M

Background

I have to give a shout out to the Pasadena Antique Mall in Pasadena, California.   The EL-5100 was a lucky find for me, and the ladies at the counter were kind enough to let me walk quickly to nearby Target to get batteries so the EL-5100 can be tested.  The calculator tested perfectly!  If you are in the greater Los Angeles area, the Pasadena Antique Mall is great place to visit for all things retro.  

Landscape and Thin Calculator

The EL-5100 is a light weight calculator in a silver, thin design.  The calculator is well built and the keys are solid.   The keys are arranged in three sections, from left to right:

*  Scientific functions
*  Number keypad and arithmetic functions
*  Storage and alpha keys:  A-J, M

A staple of calculators from the 1970s is the physical mode switch.   The EL-5100 has one mode switch:

* AER:  Program and store formulas
* COMP:  Computational mode
* STAT:  Statistics mode, including linear regression  (y = a + bx)

Formula Storage

The EL-5100 can store up to five formula areas, with 80 steps allocated between them.   The formulas can be separate or stored as a chain of formulas.  An example of the chain formula:

c = √(a^2 + b^2)
d = c / (b + c)

would be stored as:

(switch to AER mode, CA)
1; f(A,B)=√(A^2+B^2) STO C ◣
2; C ÷ (B + C) STO D
(switch back to COMP)

Press [ COMP ] 
(an example)
A =?   (pressing COMP again takes the last value of A)

Example:  Let A = 19, B = 79
[COMP]
A = ?   19 [COMP]
B = ?   79 [COMP]
1; ANS 1 = 81.25269226  (C)
[2nd F]  2;  
2;  ANS 1 = 0.507028563  (D)

An alternative way to chain formulas (multistep):
1; f(A,B)=√(A^2+B^2) STO C,  C ÷ (B + C) STO D

Example:  Let A = 19, B = 79
[COMP]
A = ?   19 [COMP]
B = ?   79 [COMP]
1; ANS 1 = 81.25269226  (C)  [COMP]
2; ANS 2 = 0.507028563  (D)

You can store immediate results, however, they will end the execution.  However, this is still handy when you are using the M register and the M+ feature.

* Note:  In AER mode, the [ COMP ] key is the comma.  


Statistics Mode

In STAT mode, it was common for Sharp calculators to assign data entry keys to the M register keys.

[ RM ] becomes CD  (clear data)

[ →M ] becomes the comma for bivariate data (x,y)

[ M+ ] becomes DATA for storing data

The multiplication key can be used to store data with frequency greater than.  However, you can do mathematical operations as long as they are enclosed in parenthesis.

Even though the variable keys A-J are not available during STAT mode, the stat values are stored in the following variables and can be used later in COMP mode.

E = n
F = ∑x
G = ∑x^2
H = ∑xy
I = ∑y
J = ∑y^2

Sharp EL-5100 vs TI-68

The EL-5100 ushered in a category of formula storage calculators.  Here is a comparison table between 1979's EL-5100 and 1989's TI-68.




EL-5100 TI-68
1979 Year of Introduction 1989
3 x SR44/LR44/357 Batteries 1 x CR2032
landscape Form portrait
5, sequential Number of Storage Areas 1 at a time, as memory allows
80 Number of Steps 440 (55 registers)
y = a + bx, r Linear Regression y = SLP x + ITC, COR
A through J, M Variable Names variable names up to 3 characters
chain formulas, physical mode switch Unique Features complex numbers, base conversions, integrals, solver, conversions

Verdict

The EL-5100 is a simple calculator which is a joy to use.  


Eddie

All original content copyright, © 2011-2021.  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. 

Sunday, July 23, 2017

Retro Review: Texas Instruments TI-68

Retro Review:  Texas Instruments TI-68



Company:  Texas Instruments
Years:  1989 - 2002
Type:  Scientific, Formula Programming
Memory:  440 bytes, in 55 8-bit registers
Operating System: Algebraic
Memory Registers: Up to three characters

Batteries:  1 CR2032

Hard to Find:  One with a good screen is hard to find.  It took me two tries to do so. 

Features

The TI-68 is a popular scientific calculator and back in the day, it had pretty much most of the bells and whistles (with the obvious exception of graphing):

*  Base Conversions and Boolean Logic (9 bits, signed integer, max binary value: 511, minimum binary value: -511)
*  Linear Regression
*  Polynomial Solver: Quadratic, Cubic, Quartic
*  Simultaneous Equation Solver:  Up to 5 x 5 systems
*  Expanded Storage Arithmetic:  +, -, *, /, ^, Δ%, and, or, xor
* Number Parts: signum, integer, fraction, real, imaginary, absolute value (but strangely enough, no argument/angle function, did TI run out of space?)

Complex Numbers

What I love about the TI-68 is how complex numbers are integrated in the operating system.  There is no need to switch to a separate mode.  Best of all, the TI-68 handles exponential, logarithmic, power, and trigonometric functions with complex numbers. 

The simultaneous solver also allows for complex numbers.  This is indeed rare, as not even most graphing calculators’ simultaneous solving apps allow for complex numbers as coefficients.  (Note:  The HP Prime’s simult command allows for complex numbers)

Complex numbers on the TI-68 are notated as such:

Rectangular:  (x, y)
Polar:  (r θ)

Part extraction of complex numbers works slightly different:  real and imag extract the real and imaginary portions of the complex number, regardless of setting.  

Choosing the Precision?

The TI-68 allows for two precision settings:  10 digits or 13 digits.   The display uses 10 digits.  I think this is a rarity, if not a completely unique feature, since calculators in general uses an accuracy of 13 to 15 digits automatically.

I tested a couple of integrals and the precision setting does not affect the length of time either way.  Both integrals were calculated in about 3 seconds. 

Test Integral 1:  ∫ (T^3 * e^(-T) dT, 0, 100, intervals = 6)
Test Integral 2:  ∫ (X^2/(X^2 + X – 1) dX, 25, 75, intervals = 12)

Integration

The TI-68 uses the Simpson’s Rule during integration.  To integrate, during evaluation, designate the variable to be integrated by pressing [CLEAR], [ 3rd ], [ Σ+ ] (dx). 

Formula Programming

The TI-68 has formula programming.  There are no loops or comparison tests, but all variables are local, meaning their stored values can be transferred between formulas.

Something I learned about the TI-68: you can have variables up to 3 characters. 

Each formula can be evaluated (right hand side of the equation) by pressing [SOLVE].  Each variable can accept a real or complex number.

Keyboard



Let’s talk about the keyboard.  The keys are nice and responsive.  But get a look of all those shift keys!  There are two shift keys, [ 2nd ], [ 3rd ], along with an inverse key [ INV ].  This is reminiscent of the 1974 Hewlett Packard HP 65 calculator, where its shift keys were [ f ], [ f^-1 ], and [ g ].

Here is what the inverse [INV] key (it’s like a “4th” key) operates on:

Key
[ INV ] Key
Key
[ INV ] Key
[2nd] (DRG>)
D: D to R
R: R to G
G: G to D
Angle conversion*
D:  D to G
R:  R to D
G:  G to R

[2nd] (>DD)
Convert: DMS>DD
Convert: DD>DMS
[HYP]
Hyperbolic
Inverse hyperbolic
[2nd] (P>R)
Polar to Rectangular
Rectangular to Polar
[SIN] Sine
Arcsine (sin^-1)
[2nd] (in-cm)
Inches to centimeters
Centimeters to inches
[COS] Cosine
Arccosine (cos^-1)
[2nd] (gal-l)
Gallons to liters
Liters to gallons
[TAN] Tangent
Arctangent (tan^-1)
[2nd] (lb-kg) Pounds to kilograms
Kilograms to pounds
[ Σ+ ] add a data point
Erases the last data point (Σ-)
[3rd] (°F-°C)  Fahrenheit to Celsius
Celsius to Fahrenheit


‘*  D = Degrees, R = Radians, G = Grads.  Angle mode is unaffected.  To change angle mode, press [ 3rd ] (DRG) (it cycles Degrees, Radians, Grads).

The Basic Cousin, TI-60X

TI-60X (left), TI-68 (right).  Their memory capacities are shown.


In 1991, Texas Instruments released a more basic version of the TI-68, the TI-60X.  For more details, check out this link:  http://edspi31415.blogspot.com/2017/01/retro-review-ti-60x.html.

Final Verdict

I regret not getting the TI-68 when it first came out (which would have consisted in asking my family for one).  It’s finally nice to have one and it’s worth the hype and praise it got. 

Eddie


This blog is property of Edward Shore, 2017

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