DATAMATH  CALCULATOR  MUSEUM

# Calculator Integrated Circuits Forensics

"Calculator forensics" is a term coined by Mike Sebastian which seeks to answer the questions of who originally designed a particular calculator's chip set, what features of a particular calculator have been borrowed from earlier designs, and how has calculator technology spread among the manufacturers. Read more about Mike’s test results here

Within the Datamath Calculator Museum we use the "Calculator forensics" to identify the used calculator chips of all featured calculators. Most elder calculators could be opened easily and the chip number identified. However, many calculators cannot be opened without damaging the case or are constructed in such a manner that it is not practical to view the part number. Most modern calculators use „chip-on-board“ designs with the silicon-chip mounted directly on the printed circuit board and a small spot of black resin on top without any part number.

# The Forensics Evaluation Algorithm

Observations regarding the embedded algorithms are useful in identifying related calculators. The evaluation algorithm chosen by Mike Sebastian and used in the Datamath Museum is (with the calculator in degrees mode):

arcsin (arccos(arctan(tan(cos(sin (9))))))

The keystroke sequence (ignoring 2nd, INV, or ARC keys) is typically: [9], [sin], [cos], [tan], [arctan], [arccos], [arcsin]. This algorithm usually produces different results on different calculator models based on the accuracy of the algorithm used to implement its transcendental functions (otherwise it would have no value as an evaluation and comparison tool).

# The following table joins some information together:

Part number of the chip e.g. TP0324
Custom numbering of the chip e.g. TP0320 [CD3201]
Chip family e.g. TMC0520
Date of introduction of the particular chip
Number of displayed digits e.g. 10 digits
Internal accuracy e.g. 13 digits
Result of the above sequence of trigonometry functions e.g. 9.0000278
Known calculator models with the particular chip e.g. TI-30 STAT, TI-30 GALAXY

Find a list of all known calculator chips manufactured by Texas Instruments here and the calculator chips manufactured by Toshiba here.

 Part Number Family Date Digits Accuracy Returned Result Known Calculators TMC0501,521-4 TMC0520 1974 10 13 9.000005272880 SR-50 TMC0501,521-5 TMC0520 1974 10 13 9.000004661314 SR-50, SR-50A TMC0501,522-5,523-5 TMC0520 1974 10 13 9.000004661314 SR-51, SR-51A TMC0501,524, 562, 563 TMC0520 1975 10 12/13 9.00000466131(4) SR-52 TMC0501,531 TMC0530 1976 10 13 9.000004661314 SR-50A TMC0501,534, 562, 563 TMC0530 1976 10 12/13 9.00000466131(4) SR-52 TMC0501,537,538 TMC0530 1976 10 12/13 9.00000466131(4) SR-56 TMC0501,581 TMC0580 1976 10 12 9.00000527288 SR-51-II TMC0501,582,583 TMC0580 1977 10 13 9.000004661314 TI-58, TI-59, TI-58C, SR-60(A) TMC0501,582,583,584 TMC0580 1977 SR-60(A) TMC0501,CD2400,2401 TMC0580 1979 TI-58C TMS1001 TMS1000 1974 8 8 n.a. SR-16 TMS1016 TMS1000 1975 8 8 n.a. SR-16 II TMS1111 TMS1100 (1975) 8 10 10.271817 SR-40 Prototype TMC0980 [CD9801] TMC0980 1980 8 10 n.a. Goulds Pumpulator TMC0981 TMC0980 1976 8 10 9.177087103 TI-30, SR-40 TMC0982 TMC0980 1976 8 11 n.a. Business Analyst TMC0983 TMC0980 1978 8 9 n.a. TI Programmer TMC0984 TMC0980 1976 8 11 9.177087088 TI-33 TMC0985 TMC0980 1977 8 10 9.177087103 Amelia Scientific TMC1501 TMC1500 1977 8 11 9.0047463834 TI-57 Programmable TMC1502 TMC1500 1977 10 11 n.a. The MBA TMC1503 TMC1500 1977 8 11 9.007726486 TI-55, TI-51-III TMC1983 TMC1980 1978 8 10 9.177087103 TI-45 TP0320 [CD3201] TP0320 1978 8 11 n.a. TI Investment Analyst TP0320-4 [CD3202] TP0320 1980 8 11 9.114640577 TI-30-II (1981), TI-30 LCD (1980) TP0321 TP0320 1978 8 11 9.177087088 TI-50 TP0322 TP0320 1978 8 11 n.a. TI Business Analyst II TP0323 TP0320 1978 8 11 9.177087088 TI-53 TP0324-4N TP0320 1979 8 11 9.177087103 TI-35 (1979) TP0324-4NL TP0320 1980 8 11 9.177087088 TI-35 (1980) TP0326 TP0320 1979 TI-20 TP0327 TP0320 1979 9.177087103 Sharp EL-503 CD2901, CD2902, CD5401, CD5402 TP0485 1982 10 13 9.000000955917 TI-88 CD4507 TP0456 1982 8 11 9.114640577 TI-40 CD4551,CD4555 TP0456 1981 8 11 9.114640577 TI-54 CD4553,CD4554 TP0456 1983 8 11 n.a. BA-54, BA-55 CD4556,CD4555 TP0456 1981 8 11 9.114640577 TI-55-II, TI-55-III, TI-56 CD4557 TP0456 1982 8 11 9.114640577 TI-30 STAT, TI-35 (1982), TI-35 II CD4559 TP0456 1982 8 9 n.a. TI Converter CD4564 TP0456 1982 n.a. LOGpit CD4565 TP0456 1982 8 11 9.114640577 TI-30-II (1983), TI-30 III, TI-30 LCD (1982) CD4569 TP0456 1982 8 9 n.a. LCD Programmer CD4570 TP0456 1982 n.a. Little Professor CD4571 TP0456 1982 8 11 n.a. BA-35 Student Business Analyst CD4572,CD4555A TP0456 1982 8 11 9.114640577 TI-57 LCD CD4805,CD4806 TP0458 1987 10 13 9.00044229369 TI-65 CD4808 TP0458 1987 8 11 9.114640577 TI-30 Galaxy (Italy) CD4810,CD4811 TP0458 1986 10 13 9.00044229369 TI-62 Galaxy CD4812 TP0458 1987 10 12 n.a. BA-III CD4815,CD4614 TP0458 1986 10 13 9.00044229369 TI-60 T3327 1975 8 8 9.148251 Toshiba SC-7100 T3636 1977 8 9 8.9789682 Toshiba SLC-8300 PN1033734 aka T3659 or T3669 1977 8 9 8.9789682 Toshiba SLC-8260, early TI-25 T3734 1978 8 9 8.9789682 later TI-25 T3763 1978 8 9 8.9789682 Toshiba SLC-8261, late TI-25 T3934S 1980 8 9 8.9789682 Canon F-55S T3801S 1980 10 11 9.0000278593 Canon F-63, F-72 T3941 1980 8 9 8.9789682 Canon F-42, Radio Shack EC-476, Toshiba SLC-8280 1982 8 9 8.9789682 TI-21 T6711 1982 10 11 9.0000278593 Canon F-73 T6755S 1982 10 11 9.0000278593 Toshiba SLC-8310 T6787 1982 10 11 n.a. Canon Financial T6823 1982 8 9 8.9789682 Canon F-43, F-44, F-45 T6824 1982 8 11 8.9789682 Toshiba SLC-8410, Canon FS-5 T6825 1982 8 9 8.9789682 TI-30 SLR T6868 1983 10 11 9.0000278593 Canon FP-11P T6875 1983 10 13 9.000002294775 TI-66 T6973 1983 8 11 9.0000278593 TI-45 MSP T6974S 1984 8 11 9.0000278593 TI-30 SLR (2nd), TI-30 SLR+, TI-31, TI-31 Solar, TI-35 Solar, TI-25X, TI-30S T6975 1984 8 11 9.0000278593 TI-30 Galaxy (Japan) T6975AS 1984 8 11 9.0000278593 TI-30 Galaxy Solar, TI-35 Galaxy Solar T7750S 1984 8 11 9.0000278593 Canon F-58 T7767 1985 10 12 8.99999863704 TI-35 PLUS, TI-52 T7768 1985 10 12 8.99999863704 TI-36 Solar, TI-37 Galaxy Solar, TI-52 Solar T7917 1986 10 13 n.a. TI BA SOLAR 1987 10 11 9.0000156204 TI-32 T7980S 1987 T7981S 1987 8 11 9.000052205 Canon FS-400 T7987S 1987 T7988 1987 10 12 8.99999863704 TI-34 1987 10 13 n.a. Business Edge T7942S 1989 e.g. Canon F-802P 1989 10 12 8.99999863704 SC-10 T9838 1991 10 10 9.000417403 TI-60X T9948A 1989 10 13 8.999999007884 TI-68 T6A21 1990 T6A39 1991 T6A40 1991 T6A43 1990 10 13 8.999999616566 TI-81 (early) T6A43 1992 10 14 8.9999999695957 TI-85 T6A43 1996 10 14 8.9999999695957 TI-86 T6A46 1991 T6A53 1991 10 13 8.999999883164 BA-II Plus T6A57 1990 10 12 9.00000229461 TI-36X Solar T6A58 1990 10 12 9.00000229461 TI-35X T6A59 1990 10 12 8.99999864268 Galaxy 40x, 40sx T6A61 1991 10 12 9.00000229461 TI-30X T6M19 1991 10 12 8.99999863704 e.g. Canon F-603 T6M27S 1991 T6M38 1993 10 12 9.00000229461 TI-30X Solar T6M39S 1992 8 11 n.a. Math Explorer T6M51 1993 10 13 n.a. Real Estate T6M53 1995 10 13 8.999999007884 TI-80 1995 10 12 8.99999864268 Explorer Plus, TI-40 Solar 1997 10 12 8.99999864268 TI-40 Collège T6M79 1995 10 12 9.00000229461 TI-30Xa, TI-30Xa Solar, TI-30Xa SE T6M80(A) 1996 10 12 9.00000229461 TI-30Xa TMP0620F 1991 10 13 8.999999007884 TI-67 Galaxy 1999 10 13 9.000003512065 TI-30X II B/S 1999 10 13 9.000003512065 TI-34 II, TI-40 Collège II 2004 10 13 8.999999993942 BA-II Plus Professional 2005 10 13 9.000001077372 TI-36X II, TI-Collège JT6F54-998S 2006 10 13 9.000001561843 TI-36X II, TI-Collège Plus EVT 2007 10 13 9.000001077372 TI-30XS MV 2015 10 14 9.0000000304418 TI-30Xa (2015) 2007 10 14 8.9999999695957 TI-nspire TI-REF 83PLUSB/TA2 2004 10 14 8.9999999695957 TI-84 Plus, TI-84 Plus S.E. TI-REF 84PLUSB/TA3 2004 10 14 8.9999999695957 TI-84 Plus, TI-84 Plus S.E. Z84C00 1993 10 13 8.999999616566 TI-81 (late) Z84C00 1993 10 14 8.9999999695957 TI-82, TI-83 Z84C00 1999 10 14 8.9999999695957 TI-73, TI-83 Plus SC414181 1995 10 14 8.9999999817692 TI-92, TI-92 II MC68EC000 1998 10 14 8.9999999817692 TI-89, TI-89 Titanium, TI-92 Plus