---
title: "Discussion on \"HyperLogLog Explained: Counting Billions of Unique Items with 12 KB\" | Hashnode"
description: "Discussion on \"HyperLogLog Explained: Counting Billions of Unique Items with 12 KB\". How stochastic averaging over leading-zero bit runs estimates cardinality to ±0.81% using 12 KB of memory regardless of dataset size."
url: "https://hashnode.com/posts/hyperloglog-explained/69f6f93974d75d74a6211054"
---

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# [HyperLogLog Explained: Counting Billions of Unique Items with 12 KB](https://abstractalgorithms.hashnode.dev/hyperloglog-explained?utm_source=hashnode&utm_medium=feed)

How stochastic averaging over leading-zero bit runs estimates cardinality to ±0.81% using 12 KB of memory regardless of dataset size.

May 3 · 18 min read · abstractalgorithms.hashnode.dev  
Updated Jun 30  
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-   [#data-structures](https://hashnode.com/tag/data-structures)
-   [#algorithms](https://hashnode.com/tag/algorithms)
-   [#hyperloglog](https://hashnode.com/tag/hyperloglog)
-   [#distributed-systems](https://hashnode.com/tag/distributed-systems)
-   [#probabilistic](https://hashnode.com/tag/probabilistic)

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