2011年10月22日土曜日

Introduction of the "Hybrid Calc"



A "Hybrid Calc".
It is a calculator from which the numerical result can be requested intuitively and efficiently by combining digital computer (calculator) and analog computers (slide rule).


An analog computer (slide rule) does two measures (C scale and D scale) in slides, and the numerical result is requested by reading the scale.
The measure does the slide and puts the numerical value together.
The ten keys input can be used to put the numerical value together on the scale accurately.
Moreover, the calculating formula (multiplication and division calculation) from the scale and the numerical result are automatically displayed.
Let's actually calculate.

【 calculation example 1】

How many centimeters are 3.52 inches if one inch is 2.54 centimeters?
1."Init" The tap does the button.
The position of the measure is initialized.
The center scale of the measure is set to 1.00.
2.It is input with ten keys as "2.54", and the tap does the "SetD" button.
D scale does the slide.
The scale at the center indicates 2.54.
3."Sync" The tap does the button.
C scale synchronizes with D scale and it comes to do the slide.
4.It is input with ten keys as "3.52" and the tap does the "SetC" button.
5.C scale synchronizes with D scale and the scale of the slide doing and C scale indicates "3.52 inches".
The scale at the center of D scale becomes "8.93 centimeters", and the answer is obtained.

The numerical value of C scale changes continuously when the measure is done in the slide as it is.
Along with it, D scale numerical value changes continuously.
  • 2.54 x 3.52inches -> 8.93centimeters
  • 2.54 x 3.76inches -> 9.55centimeters
  • 2.54 x 3.88inches -> 9.84centimeters
Thus, proportion can continuously be calculated.


【 calculation example 2】

Next, let's calculate inverse proportion.
How long do you take if it moves at 50 km/h when there are 730km distance between two towns?
1.The numerical value is divided by 100, and it is assumed "7.3" and "0.5" beforehand.
2."Init" The tap does the button.
The position of the measure is initialized.
3.It is input with ten keys as "7.3", and the tap does the "SetD" button.
4."Sync" The tap does the button.
5.It is input with ten keys as "0.5" and the tap does the "SetCI" button.
6.The indication answer obtains "14.6 hours".

The numerical value of C scale changes continuously when the measure is done in the slide as it is.
Along with it, D scale numerical value changes continuously.
  • 7.3 ÷ 0.5 → 14.6 hours
  • 7.3 ÷ 0.6 → 12.17 hours
  • 7.3 ÷ 0.7 → 10.43 hours
Thus, the numerical result is continuously obtained.

【 feature button of slide rule 】

[Init]The slide rule is initialized. The value is assumed to be 1.00.
[Sync]A synchronous function of two scales is done and on/off is done.
[SetD]The calculator display value is applied to D scale.
[SetC]The calculator display value is applied to C scale.
[SetCI]The calculator display value is applied to the CI scale.
[Recall]The value of D scale is assumed to be an input value of the calculator.
[x10]The calculator display value is multiplied by ten.
[÷10]The calculator display value is divided by ten.

The calculation of the slide rule is a calculation by round numbers.
The significant digit is treble.
Moreover, the range of the numerical value is 0.1-100.
When this range is exceeded, it is necessary to change the scaling.
"x10" "÷10" It is possible to change with a button.


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