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Amount of Information Formula

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The amount of information conveyed by a message depends on the probability of the message being transmitted. Check FAQs

I = \log 2 (\frac{1}{P k})

I - Amount of Information?P_k - Probability of Occurrence?

Amount of Information Example

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Here is how the Amount of Information equation looks like with Values.

Here is how the Amount of Information equation looks like with Units.

Here is how the Amount of Information equation looks like.

2 = \log 2 (\frac{1}{0.25})

2bits = \log 2 (\frac{1}{0.25})

2 = \log 2 (\frac{1}{0.25})

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Amount of Information Solution

Follow our step by step solution on how to calculate Amount of Information?

FIRST Step Consider the formula

I = \log 2 (\frac{1}{P k})

Next Step Substitute values of Variables

∴

I = \log 2 (\frac{1}{0.25})

Next Step Prepare to Evaluate

∴

I = \log 2 (\frac{1}{0.25})

LAST Step Evaluate

∴

I = 2bits

Amount of Information Formula Elements

Variables

Functions

Amount of Information

The amount of information conveyed by a message depends on the probability of the message being transmitted.

Symbol: I

Measurement: Data StorageUnit: bits

Note: Value should be greater than 0.

Formulas to find Amount of Information

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.

Symbol: P_k

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Probability of Occurrence

log2

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

Syntax: log2(Number)

Other formulas in Continuous Channels category

Go Channel Capacity

C = B \cdot \log 2 (1 + SNR)

Go Noise Power of Gaussian Channel

N o = 2 \cdot P SD \cdot B

Go Nyquist Rate

N r = 2 \cdot B

Go Information Rate

R = r s \cdot H[S]

How to Evaluate Amount of Information?

Amount of Information evaluator uses Amount of Information = log2(1/Probability of Occurrence) to evaluate 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 evaluate Amount of Information using this online evaluator? To use this online evaluator for Amount of Information, enter Probability of Occurrence (P_k) and hit the calculate button.

FAQs on Amount of Information

What is the formula to find Amount of Information?

The formula of Amount of Information is expressed as Amount of Information = log2(1/Probability of Occurrence). Here is an example- 2 = log2(1/0.25).

How to calculate Amount of Information?

With Probability of Occurrence (P_k) we can find Amount of Information using the formula - Amount of Information = log2(1/Probability of Occurrence). This formula also uses Binary Logarithm (log2) function(s).

Can the Amount of Information be negative?

No, the Amount of Information, measured in Data Storage cannot be negative.

Which unit is used to measure Amount of Information?

Amount of Information is usually measured using the Bit[bits] for Data Storage. Nibble[bits], Byte[bits], Character[bits] are the few other units in which Amount of Information can be measured.

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