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Amount of Information Calculator

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Continuous Channels Source Coding

✖The Probability of occurrence is the probability of an event is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.ⓘ Probability of Occurrence [P_k]

+10%

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✖The amount of information conveyed by a message depends on the probability of the message being transmitted.ⓘ Amount of Information [I]

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Amount of Information Solution

STEP 0: Pre-Calculation Summary

Formula Used

Amount of Information = log2(1/Probability of Occurrence)
I = log2(1/P_k)
This formula uses 1 Functions, 2 Variables

Functions Used

log2 - The binary logarithm (or log base 2) is the power to which the number 2 must be raised to obtain the value n., log2(Number)

Variables Used

Amount of Information - (Measured in Bit) - The amount of information conveyed by a message depends on the probability of the message being transmitted.
Probability of Occurrence - The Probability of occurrence is the probability of an event is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

STEP 1: Convert Input(s) to Base Unit

Probability of Occurrence: 0.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = log2(1/P_k) --> log2(1/0.25)

Evaluating ... ...

I = 2

STEP 3: Convert Result to Output's Unit

2 Bit --> No Conversion Required

FINAL ANSWER

2 Bit <-- Amount of Information

(Calculation completed in 00.020 seconds)

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Amount of Information Formula

LaTeX Go

Amount of Information = log2(1/Probability of Occurrence)
I = log2(1/P_k)

What are the different units for measurement of amount of information?

If the base of algorithm is 2, then the units are called " BITS". If base is 10 then it is called as "Hartleys". If it is in base e then it is called "Nats".

Why logarithmic expression used for measuring information?

The information content cannot be negative. Each message must contain information. Lowest possible information is zero which occurs for sure event.

How to Calculate Amount of Information?

Amount of Information calculator uses Amount of Information = log2(1/Probability of Occurrence) to calculate the Amount of Information, The Amount of information formula is defined as the amount of information conveyed by a message depends on the probability of the message being transmitted. Amount of Information is denoted by I symbol.

How to calculate Amount of Information using this online calculator? To use this online calculator for Amount of Information, enter Probability of Occurrence (P_k) and hit the calculate button. Here is how the Amount of Information calculation can be explained with given input values -> 2 = log2(1/0.25).

FAQ

What is Amount of Information?

The Amount of information formula is defined as the amount of information conveyed by a message depends on the probability of the message being transmitted and is represented as I = log2(1/P_k) or Amount of Information = log2(1/Probability of Occurrence). The Probability of occurrence is the probability of an event is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

How to calculate Amount of Information?

The Amount of information formula is defined as the amount of information conveyed by a message depends on the probability of the message being transmitted is calculated using Amount of Information = log2(1/Probability of Occurrence). To calculate Amount of Information, you need Probability of Occurrence (P_k). With our tool, you need to enter the respective value for Probability of Occurrence 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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