DATAMATH CALCULATOR MUSEUM |

Texas Instruments TI-30Xa (2015)

Date of introduction: | July 2015 | Display technology: | LCD |

New price: | $10.99 (SRP 2016) $15.00 (SRP 2020) |
Display size: | 10 + 2 |

Size: | 6.0" x 3.0" x 0.6" 153 x 76 x 15 mm³ |
||

Weight: | 2.5 ounces, 72 grams | Serial No: | |

Batteries: | LR44 | Date of manufacture: | mth 05 year 2015 (M) |

AC-Adapter: | Origin of manufacture: | Philippines (L) | |

Precision: | 14 | Integrated circuits: | |

Memories: | 3 | ||

Program steps: | Courtesy of: | Joerg Woerner |

End of March in 2016 we received a strange email from fellow calculator collector Akira Morita in Japan: "I bought a TI-30Xa and TI-30 ECO RS on Amazon - the (Logarithm) Bug is fixed". To be honest, we couldn't believe that Texas Instruments finally fixed this quirk floating with the TI-30Xa since its introduction in 1996 and decided to purchase both calculators.

And yes, the TI-30Xa and
TI-30 ECO RS are bug free!

Disassembling
this TI-30Xa manufactured in May 2015 by Kinpo Electronics,
Inc. in the Philippines reveals a small surprise. The printed circuit board (PCB) of the
calculators sports now a prominent SR-32 logo - with a revision index of 10-2. A
TI-30XA calculator manufactured four years
earlier by Kinpo Electronics, Inc. carried a SR-30-12 designator.

Since its introduction in 1996 we verify with each TI-30Xa
the presence of the Logarithm Bug
and - yes....

The
algorithm problem known as "Logarithm Bug" was implemented already
1991 with the TI-35X and TI-36X
SOLAR and floats around in various calculators.

The best way to demonstrate the logarithm bug could
be found with the exponential function, one of the most important
functions in mathematics. It is written as e^{x} and can be
defined as a limit of a sequence:

The calculation of this expression
will yield to unexpected results due to:
• The ln(1 + x) problem |

Using
n=10^{9} should reveal a very close approximation of e^{x}=2.71828183
(rounded to 9 digits) and this TI-30XA manufactured in 2015 indeed indicates
2.718281827.

Running Mike Sebastian's
Calculator forensics reveals with 9.0000000304418 even an improved 14-digits
precision on the internal calculations compared with the previous 12-digits
design.

If you have additions to the above article please email: joerg@datamath.org.

© Joerg Woerner, May 17, 2016. No reprints without written permission.