Smallest reading(Xmin) Calculator

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✖Largest Reading refers to the highest value or measurement that can be displayed or recorded by a measuring instrument or device within its operational range.ⓘ Largest Reading [X_max]			+10% -10%
✖Instrumentation Span refers to the full range of values that a measurement instrument is designed to measure or detect.ⓘ Instrumentation Span [span]			+10% -10%

✖Smallest Reading refers to the minimum incremental value or smallest division that a measuring instrument or device is capable of indicating or measuring.ⓘ Smallest reading(Xmin) [X_min]

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Formula

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Smallest reading(Xmin)

Formula

X min = X max - span

Example

2.13 = 6.34 - 4.21

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Smallest reading(Xmin) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Smallest Reading = Largest Reading-Instrumentation Span
X_min = X_max-span
This formula uses 3 Variables

Variables Used

Smallest Reading - Smallest Reading refers to the minimum incremental value or smallest division that a measuring instrument or device is capable of indicating or measuring.
Largest Reading - Largest Reading refers to the highest value or measurement that can be displayed or recorded by a measuring instrument or device within its operational range.
Instrumentation Span - Instrumentation Span refers to the full range of values that a measurement instrument is designed to measure or detect.

STEP 1: Convert Input(s) to Base Unit

Largest Reading: 6.34 --> No Conversion Required
Instrumentation Span: 4.21 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_min = X_max-span --> 6.34-4.21

Evaluating ... ...

X_min = 2.13

STEP 3: Convert Result to Output's Unit

2.13 --> No Conversion Required

FINAL ANSWER

2.13 <-- Smallest Reading

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< Instrument Characteristics Calculators

Magnitude of Output Response

Go Output Response Magnitude = Sensitivity*Input Response Magnitude

Magnitude of Input

Go Input Response Magnitude = Output Response Magnitude/Sensitivity

Sensitivity

Go Sensitivity = Output Response Magnitude/Input Response Magnitude

Inverse Sensitivity or Scale Factor

Go Inverse Sensitivity = 1/Sensitivity

Smallest reading(Xmin) Formula

Smallest Reading = Largest Reading-Instrumentation Span
X_min = X_max-span

What is span measurement?

A span is a distance measured by a human hand, from the tip of the thumb to the tip of the little finger. In ancient times, a span was considered to be half a cubit.

How to Calculate Smallest reading(Xmin)?

Smallest reading(Xmin) calculator uses Smallest Reading = Largest Reading-Instrumentation Span to calculate the Smallest Reading, The Smallest reading(Xmin) formula is defined as the minimum reading of the instrument at lowest output. Smallest Reading is denoted by X_min symbol.

How to calculate Smallest reading(Xmin) using this online calculator? To use this online calculator for Smallest reading(Xmin), enter Largest Reading (X_max) & Instrumentation Span (span) and hit the calculate button. Here is how the Smallest reading(Xmin) calculation can be explained with given input values -> 7.79 = 6.34-4.21.

FAQ

What is Smallest reading(Xmin)?

The Smallest reading(Xmin) formula is defined as the minimum reading of the instrument at lowest output and is represented as X_min = X_max-span or Smallest Reading = Largest Reading-Instrumentation Span. Largest Reading refers to the highest value or measurement that can be displayed or recorded by a measuring instrument or device within its operational range & Instrumentation Span refers to the full range of values that a measurement instrument is designed to measure or detect.

How to calculate Smallest reading(Xmin)?

The Smallest reading(Xmin) formula is defined as the minimum reading of the instrument at lowest output is calculated using Smallest Reading = Largest Reading-Instrumentation Span. To calculate Smallest reading(Xmin), you need Largest Reading (X_max) & Instrumentation Span (span). With our tool, you need to enter the respective value for Largest Reading & Instrumentation Span and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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