ANURAG SINGH CHOUDHARY — Published On October 12, 2022 and Last Modified On October 12th, 2022
Beginner Blockchain Cryptocurrency

This article was published as a part of the Data Science Blogathon.


A Merkle tree is a basic component of blockchain technology. It is a mathematical data structure composed of hashes of different data blocks that serve as a summary of all transactions in the block. It also enables efficient and secure verification of the content of large amounts of data. Both Bitcoin and Ethereum use the Merkle Trees structure. Merkle Tree is also described as a Hash Tree.
The Merkle Tree concept is named after Ralph Merkle, who patented the idea in 1979. It is a tree data structure in which each leaf node is labelled with a data block hash, and a non-leaf node is labelled with the cryptographic hash labels of its child nodes. Leaf nodes are the last ending node in the tree.
Merkle Tree in Blockchain


Working of Merkle Tree

A Merkle tree stores all transactions in a block by creating a digital fingerprint of the entire set of transactions. It permits the user to confirm whether a transaction can be covered in a block or not.
Computing hash pairs of nodes develop Merkle trees until only one hash remains. This hash is described as Root Hash or Merkle Root. Merkle Trees are constructed using a bottom-up approach.
Working of Merkle Tree


Each leaf node is a hash of transaction data, and a non-leaf node is a hash of its previous hashes. Merkle trees are part of a binary tree; therefore, it necessitates an even number of leaf nodes. If Transactions are in odd numbers, then the last hash will be repeated once to generate an even number of leaf nodes.
BInary Merkle Tree


The above example is the most common and simplest form of a Merkle tree, i.e., a binary Merkle tree. The number of transactions in the block is respectively TX1, TX2, TX3, and TX4. Here you can see that there is a top hash, the hash of the entire tree, known as the Root Hash or Merkle Root. Each of these is repeatedly hashed and stored in each leaf node, resulting in hashes 0, 1, 2, and 3. Consecutive pairs of leaf nodes are then summarized in the parent node by hashing Hash0 and Hash1, resulting in Hash01, and separately hashing Hash2 and Hash3; the result is Hash23. The two hashes (Hash01 and Hash23) are then hashed again to create the Root Hash or Merkle Root.
The Merkle Root is deposited in the block header. A block header is the part of a Bitcoin block that is hashed in the mining process. It contains the hash of the last block, the Nonce, and the Root Hash of all transactions in the current block in the Merkle Tree. The Merkle root directory in the block header makes the transaction tamper-proof. Because this root hash contains the hashes of all transactions within the block, these transactions can save disk space.
Merkle Tree


Merkle Tree maintains data integrity. If any individual detail of transactions or the order of transactions changes, those changes will be reflected in the hash of that transaction. This change would cascade up the Merkle tree to the Merkle root, changing the value of the Merkle root and thereby invalidating the block. So everyone can see that a Merkle tree allows a quick and easy test of whether a particular transaction is included in the set or not.

Why Merkle Trees are Necessary for Blockchain?

To understand how important Merkle trees are to blockchain technology, imagine a blockchain without them. We will cover Bitcoin mainly because using Merkle Trees is fundamental to crypto-currencies and easy to understand. For example, if Bitcoin did not have Merkle trees, every node in the network would have to maintain a complete copy of every transaction that ever happened on Bitcoin. Any authentication request on Bitcoin would require an extensive packet of data to send over the network, so you have to have it yourself to verify the data. The computer used for verification would have to use a lot of processing power to compare the ledgers to ensure that no changes have been made. Merkle Trees can effectively solve this problem. They hash records in the ledger, effectively separating the evidence of the data from the data itself. Proving the validity of a transaction only involves providing a small amount of information to the network. In addition, it allows you to demonstrate that both variants of the ledger are the same for the titular amount of computing power and network bandwidth.
Merkle Trees are vital because they allow Merkle proof. These allow us to quickly verify whether an input was included in a particular data set and in what order. Merkle Trees are also effective as they allow us to compress large datasets by removing all unnecessary branches while keeping the only ones we need to prove. In the blockchain world, this means that Merkle Trees provide the following critical features:
  • The ability to verify that a transaction is included in a block
  • Bright clients
  • Complete efficiency and scalability
  • Simplified payment verification

Advantages of Merkle Tree

  • Efficient Verification: Merkle trees offer efficient data integrity and validity verification and significantly reduce the amount of memory required for verification. Proof of verification does not require transferring large amounts of data over the blockchain network. Enable trusted cryptocurrency transfer in a peer-to-peer distributed system by quickly verifying transactions.
  • No Delay: There is no delay when data is transferred over the network. Merkle trees are widely used in the calculations that keep cryptocurrencies working.
  • Less Disk Space: Merkle trees take up less disk space compared to other data structures.
  • Unaltered Data Transfer: Merkle root helps ensure that blocks sent over the network are whole and unaltered.
  • Tampering Detection: The Merkle Tree offers an amazing advantage to miners in checking whether any transactions have been tampered with.
    • Since transactions are stored in a Merkle tree, which stores the hash of each node in the top parent node, any changes to the transaction details, such as the amount to be debited or the address to which payment must be made, will propagate to the hashes in the upper levels and finally to the Merkle root.
    • A miner can compare the Merkle root in the header with the Merkle root stored in the data part of the block and easily detect this manipulation.
  • Time Complexity: Merkle tree is the best solution if a comparison is made between the time complexity of searching a transaction in a block like a Merkle tree and another block that has transactions categorized in a linked list, then-
    • Merkle-Tree search: O(logn), where n = number of transactions in a block.
    • Linked-List search: O(n), where n = number of transactions in the block.


Once you understand the basics of Merkle Trees, you can begin to appreciate the protection and efficiency of Blockchain data structures. If Merkle Trees had never been discovered, cryptocurrency and blockchain technology would never have existed. Without a suitable alternative, the amount of computing power and storage would be too expensive to operate. Merkel Trees are vital to blockchains and allow them to function while maintaining the integrity of transactions.

Key Takeaways:

  • Merkle Tree provides a means to maintain data integrity and validity.
  • Merkle Tree helps in saving memory or disk space as proofs, computationally easy and fast.
  • Merkle Tree evidence and management require a small amount of information transmitted over networks.
  • The Merkle root is a simple mathematical way to verify data on a Merkle tree.
  • Merkle roots are used in cryptocurrency to ensure that blocks of data passed between a peer-to-peer network are intact, uncorrupted, and unaltered.
  • Merkle roots are essential to the computation required to sustain cryptocurrencies such as Bitcoin and Ether.
The media shown in this article is not owned by Analytics Vidhya and is used at the Author’s discretion.

About the Author

Our Top Authors

Download Analytics Vidhya App for the Latest blog/Article

Leave a Reply Your email address will not be published. Required fields are marked *