Calculate Base 2 Logarithm of Values

Calculate the base 2 logarithm using the math:log2() function

Query

flowchart LR; %%{init: {"flowchart": {"defaultRenderer": "elk"}} }%% repo{{Events}} 1["Expression"] 2["Expression"] result{{Result Set}} repo --> 1 1 --> 2 2 --> result
logscale
x := 8
        | math:log2(x, as=log2_result)

Introduction

The math:log2() function can be used to calculate the base 2 logarithm of a double field value. This function determines the exponent needed to raise 2 to obtain the given number.

In this example, the math:log2() function is used to calculate the base 2 logarithm of a value (x = 8), showing how many times you need to multiply 2 by itself to get that value.

Step-by-Step

  1. Starting with the source repository events.

  2. flowchart LR; %%{init: {"flowchart": {"defaultRenderer": "elk"}} }%% repo{{Events}} 1["Expression"] 2["Expression"] result{{Result Set}} repo --> 1 1 --> 2 2 --> result style 1 fill:#ff0000,stroke-width:4px,stroke:#000;
    logscale
    x := 8

    Assigns the value 8 to a field named x. This value will be used to calculate its base 2 logarithm.

  3. flowchart LR; %%{init: {"flowchart": {"defaultRenderer": "elk"}} }%% repo{{Events}} 1["Expression"] 2["Expression"] result{{Result Set}} repo --> 1 1 --> 2 2 --> result style 2 fill:#ff0000,stroke-width:4px,stroke:#000;
    logscale
    | math:log2(x, as=log2_result)

    Calculates the base 2 logarithm of the value in field x and returns the result in a new field named log2_result. If the as parameter is not specified, the result is returned in a field named _log2 as default.

  4. Event Result set.

Summary and Results

The query is used to calculate the base 2 logarithm of a value, which is useful in analyzing exponential growth or decay in base 2 systems.

This query is useful, for example, to analyze binary data sizes, calculate the number of bits needed to represent a number, or measure exponential relationships in computer science applications.

Sample output from the incoming example data:

log2_result
3.000

The result shows that the base 2 logarithm of 8 = 3, meaning that 2³ = 8. This indicates that you need to multiply 2 by itself 3 times to get 8. Some other examples:

  • base 2 logarithm of 2 = 1 (2¹ = 2)

  • base 2 logarithm of 4 = 2 (2² = 4)

  • base 2 logarithm of 16 = 4 (2 = 16)

  • base 2 logarithm of 1 = 0 (2 = 1)