R-ary Entropy Calculator

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✖The Entropy is defined as the average amount of information conveyed by an event, when considering all possible outcomes.ⓘ Entropy [H[S]]			+10% -10%
✖The Symbols represents the number of different symbols used in ode alphabet.ⓘ Symbols [r]			+10% -10%

✖The R-ary entropy is the entropy of number of different symbols used in the code-alphabet.ⓘ R-ary Entropy [H_r[S]]

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Formula

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R-ary Entropy

Formula

`("H"_{"r"}"[S]") = "H[S]"/log2("r")`

Example

`"1.135674"="1.8b/s"/log2("3")`

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R-ary Entropy Solution

STEP 0: Pre-Calculation Summary

Formula Used

R-Ary Entropy = Entropy/log2(Symbols)
H_r[S] = H[S]/log2(r)
This formula uses 1 Functions, 3 Variables

Functions Used

log2 - Binary logarithm function (base 2), log2(Number)

Variables Used

R-Ary Entropy - The R-ary entropy is the entropy of number of different symbols used in the code-alphabet.
Entropy - (Measured in Bit per Second) - The Entropy is defined as the average amount of information conveyed by an event, when considering all possible outcomes.
Symbols - The Symbols represents the number of different symbols used in ode alphabet.

STEP 1: Convert Input(s) to Base Unit

Entropy: 1.8 Bit per Second --> 1.8 Bit per Second No Conversion Required
Symbols: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_r[S] = H[S]/log2(r) --> 1.8/log2(3)

Evaluating ... ...

H_r[S] = 1.13567355642862

STEP 3: Convert Result to Output's Unit

1.13567355642862 --> No Conversion Required

FINAL ANSWER

1.13567355642862 <-- R-Ary Entropy

(Calculation completed in 00.000 seconds)

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Credits

Created by Bhuvana

BMS collegeof engineering (BMSCE), Benagluru

Bhuvana has created this Calculator and 25+ more calculators!

Verified by Rachita C

BMS College Of Engineering (BMSCE), Banglore

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< 5 Source Coding Calculators

R-ary Entropy

Go R-Ary Entropy = Entropy/log2(Symbols)

Coding Efficiency

Go Code Efficiency = (R-Ary Entropy/Average Length)*100

Source Efficiency

Go Source Efficiency = (Entropy/Maximum entropy)*100

Coding Redundancy

Go Code Redundancy = (1-Code Efficiency)*100

Source Redundancy

Go Source Redundancy = (1-Efficiency)*100

R-ary Entropy Formula

R-Ary Entropy = Entropy/log2(Symbols)
H_r[S] = H[S]/log2(r)

What can be the unit of R-ary entropy?

unit can be given by r-ary units/symbol. For example, If there is a ternary code the units will be ternary units/message symbol.

Where is R-ary codes are used?

In telecommunication, an r-ary code is a code that has r significant conditions, where r is a positive integer greater than 1. The integer substituted for n indicates the specific number of significant conditions, i.e., quantization states, in the code. For example, an 8-ary code has eight significant conditions and can convey three bits per code symbol

How to Calculate R-ary Entropy?

R-ary Entropy calculator uses R-Ary Entropy = Entropy/log2(Symbols) to calculate the R-Ary Entropy, The R-ary Entropy formula is defined as the entropy of number of different symbols used in the code-alphabet. R-Ary Entropy is denoted by H_r[S] symbol.

How to calculate R-ary Entropy using this online calculator? To use this online calculator for R-ary Entropy, enter Entropy (H[S]) & Symbols (r) and hit the calculate button. Here is how the R-ary Entropy calculation can be explained with given input values -> 1.135674 = 1.8/log2(3).

FAQ

What is R-ary Entropy?

The R-ary Entropy formula is defined as the entropy of number of different symbols used in the code-alphabet and is represented as H_r[S] = H[S]/log2(r) or R-Ary Entropy = Entropy/log2(Symbols). The Entropy is defined as the average amount of information conveyed by an event, when considering all possible outcomes & The Symbols represents the number of different symbols used in ode alphabet.

How to calculate R-ary Entropy?

The R-ary Entropy formula is defined as the entropy of number of different symbols used in the code-alphabet is calculated using R-Ary Entropy = Entropy/log2(Symbols). To calculate R-ary Entropy, you need Entropy (H[S]) & Symbols (r). With our tool, you need to enter the respective value for Entropy & Symbols 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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