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8 arithmetic algorithms in the 870 kf titrino plus – Metrohm 870 KF Titrino plus Manual User Manual

Page 90

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10.8 Arithmetic algorithms in the 870 KF Titrino plus

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870 KF Titrino plus

Variable

Comment

CONC

Concentration of selected solution

FCT

Factor

DIV

Divisor

MCV

End volume, i.e. total dosed volume at the end of the titration

EM1

Measured value of the endpoint EP1

ED1

Time at the endpoint EP1

MSV

Start volume

DD

Duration of the entire determination

The values of the variables are only available after the end of a determina-
tion (in the status 'ready').

Acknowledgement of
the instrument

Comment

OK

Command executed

E1

Method not found

E2

Invalid variable

E3

Invalid command

10.8

Arithmetic algorithms in the 870 KF Titrino plus

Numerical format
The software of the 870 KF Titrino plus calculates in accordance with the
widespread standard IEEE 754 (IEEE Standard for Binary Floating-Point
Arithmetic for Microprocessor Systems). This means that the numbers are
used in calculations in "double precision" (64 bit). Decimal numbers are
converted into binary numbers in the computer and used in this form for
calculations. The output on the display and in reports once again contains
decimal numbers; the binary numbers are thus converted back into deci-
mal numbers. In order to be able to check the internal calculations per-
formed by the computer yourself in accordance with IEEE 754, the num-
bers are reproduced in the calculation report in complete accuracy. A min-
imal difference may arise between an originally entered decimal number
and the internal computer representation in complete accuracy in the
range of the rear decimal places. This difference results from the fact that
an exact binary equivalent does not exist for every decimal number. If, for
example, you enter the sample size 50.3 mg, this will be depicted in the
calculation report in "double precision" with 5.02999999999999E+01.