Capability of Error Correction Bits Calculator

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✖Hamming distance is a measure of the difference between two sequences of equal length.ⓘ Hamming Distance [d]

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✖Capability of error correction bits is the ability to detect and correct the errors, additional bits are added to the data bits at the time of transmission.ⓘ Capability of Error Correction Bits [t]

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Formula

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Capability of Error Correction Bits

Formula

`"t" = ("d"-1)/2`

Example

`"7"=("15"-1)/2`

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Capability of Error Correction Bits Solution

STEP 0: Pre-Calculation Summary

Formula Used

Capability of Error Correction Bits = (Hamming Distance-1)/2
t = (d-1)/2
This formula uses 2 Variables

Variables Used

Capability of Error Correction Bits - Capability of error correction bits is the ability to detect and correct the errors, additional bits are added to the data bits at the time of transmission.
Hamming Distance - Hamming distance is a measure of the difference between two sequences of equal length.

STEP 1: Convert Input(s) to Base Unit

Hamming Distance: 15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (d-1)/2 --> (15-1)/2

Evaluating ... ...

t = 7

STEP 3: Convert Result to Output's Unit

7 --> No Conversion Required

FINAL ANSWER

7 <-- Capability of Error Correction Bits

(Calculation completed in 00.004 seconds)

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Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 15 Data Analysis Calculators

Number of Bits Per Word

Go Message Length = (log10(1/Expected Number of Transmission))/(log10(1-Word Error Rate))

Undetected Probability per Word

Go Undetected Probability = (Undetected Error Probability*Success Probability)/(1-Undetected Error Probability)

Success Probability

Go Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error Probability

Undetected Error Probability per Single-Word Message

Go Undetected Error Probability = Undetected Probability/(Undetected Probability+Success Probability)

Input Waveform

Go Input Waveform = sqrt(Signal to Noise Ratio*Coding Noise)

Actual S by N Ratio at Output

Go Actual S/N Ratio at Output = Maximum Possible S/N Ratio/Noise Figure of Amplifier

Average Duration of Fade

Go Normalized LCR = Cumulative Distribution Function/Average Duration of Fade

Word Error Rate

Go Word Error Rate = 1-(1/Expected Number of Transmission)^(1/Message Length)

Expected Number of Transmission

Go Expected Number of Transmission = 1/((1-Word Error Rate)^Message Length)

Coding Noise

Go Coding Noise = (Input Waveform^2)/Signal to Noise Ratio

Information Bits

Go Information Bits = Number of Bits per Word-Header Bits

Header Bits

Go Header Bits = Number of Bits per Word-Information Bits

Capability of Error Correction Bits

Go Capability of Error Correction Bits = (Hamming Distance-1)/2

Expected One Transmission(E1)

Go Expected One Transmission = 1/(1-Word Error Rate)

Unsuccess Probability

Go Word Error Rate = 1-Success Probability

Capability of Error Correction Bits Formula

Capability of Error Correction Bits = (Hamming Distance-1)/2
t = (d-1)/2

What are the error in bit occurs?

Errors in the received frames are detected by means of Parity Check and Cyclic Redundancy Check (CRC). In both cases, few extra bits are sent along with actual data to confirm that bits received at the other end are the same as they were sent. If the counter-check at the receiver's end fails, the bits are considered corrupted.

How to Calculate Capability of Error Correction Bits?

Capability of Error Correction Bits calculator uses Capability of Error Correction Bits = (Hamming Distance-1)/2 to calculate the Capability of Error Correction Bits, The Capability of error correction bits formula is defined as to detect and correct the errors, additional bits are added to the data bits at the time of transmission. Capability of Error Correction Bits is denoted by t symbol.

How to calculate Capability of Error Correction Bits using this online calculator? To use this online calculator for Capability of Error Correction Bits, enter Hamming Distance (d) and hit the calculate button. Here is how the Capability of Error Correction Bits calculation can be explained with given input values -> 7 = (15-1)/2.

FAQ

What is Capability of Error Correction Bits?

The Capability of error correction bits formula is defined as to detect and correct the errors, additional bits are added to the data bits at the time of transmission and is represented as t = (d-1)/2 or Capability of Error Correction Bits = (Hamming Distance-1)/2. Hamming distance is a measure of the difference between two sequences of equal length.

How to calculate Capability of Error Correction Bits?

The Capability of error correction bits formula is defined as to detect and correct the errors, additional bits are added to the data bits at the time of transmission is calculated using Capability of Error Correction Bits = (Hamming Distance-1)/2. To calculate Capability of Error Correction Bits, you need Hamming Distance (d). With our tool, you need to enter the respective value for Hamming Distance 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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