# How to Build Your Own Blockchain Part 4.2 — Ethereum Proof of Work Difficulty Explained

We’re back at it in the Proof of Work difficulty spectrum, this time going through how Ethereum’s difficulty changes over time. This is part 4.2 of the part 4 series, where part 4.1 was about Bitcoin’s PoW difficulty, and the following 4.3 will be about jbc’s PoW difficulty.

TL;DR

To calculate the difficulty for the next Ethereum block, you calculate the time it took to mine the previous block, and if that time difference was greater than the goal time, then the difficulty goes down to make mining the next block quicker. If it was less than the time goal, then difficulty goes up to attempt to mine the next block quicker.

There are three parts to determining the new difficulty: `offset`, which determines the standard amount of change from one difficulty to the next; `sign`, which determines if the difficulty should go up or down; and `bomb`, which adds on extra difficulty depending on the block’s number.

These numbers are calculated slightly differently for the different forks, Frontier, Homestead, and Metropolis, but the overall formula for calculating the next difficulty is

`target = parent.difficulty + (offset * sign) + bomb`

### Pre notes

For the following code examples, this will be the class of the block.

```class Block():
def __init__(self, number, timestamp, difficulty, uncles=None):
self.number = number
self.timestamp = timestamp
self.difficulty = difficulty
self.uncles = uncles```

The data I use to show the code is correct was grabbed from Etherscan.

# How to Build Your Own Blockchain Part 4.1 — Bitcoin Proof of Work Difficulty Explained

If you’re wondering why this is part 4.1 instead of part 4, and why I’m not talking about continuing to build the local jbc, it’s because explaining Bitcoin’s Proof of Work difficulty at a somewhat lower level takes a lot of space. So unlike what this title says, this post in part 4 is not how to build a blockchain. It’s about how an existing blockchain is built.

My main goal of the part 4 post was to have one section on the Bitcoin PoW, the next on Ethereum’s PoW, and finally talk about how jbc is going to run and validate proof or work. After writing all of part 1 to explain how Bitcoin’s PoW difficulty, it wasn’t going to fit in a single section. People, me included, tend get bored in the middle reading a long post and don’t finish.

So part 4.1 will be going through Bitcoin’s PoW difficulty calculations. Part 4.2 will be going through Ethereum’s PoW calculations. And then part 4.3 will be me deciding how I want the jbc PoW to be as well as doing time calculations to see how long the mining will take.

The sections of this post are:

1. Calculate Target from Bits
2. Determining if a Hash is less than the Target
3. Calculating Difficulty
4. How and when block difficulty is updated
5. Full code
6. Final Questions

### TL;DR

The overall term of difficulty refers to how much work has to be done for a node to find a hash that is smaller than the target. There is one value stored in a block that talks about difficulty — `bits`. In order to calculate the `target` value that the hash, when converted to a hex value has to be less than, we use the `bits` field and run it through an equation that returns the target. We then use the `target` to calculate `difficulty`, where `difficulty` is only a number for a human to understand how difficult the proof of work is for that block.

If you read on, I go through how the blockchain determines what target number the mined block’s hash needs to be less than to be valid, and how that target is calculated.

### Calculate Target from Bits

In order to go through Bitcoin’s PoW, I need to use the values on actual blocks and explain the calculations, so a reader can verify all this code themselves. To start, I’m going to grab a random block number to work with and go through the calculations using that.

```>>>import random
>>> random.randint(0, 493928)
111388```

Block number 11138 it is! Back in time to March of 2011 we go.

# How to Build Your Own Blockchain Part 3 — Writing Nodes that Mine and Talk

Hello all and welcome to Part 3 of building the JackBlockChain — JBC. Quick past intro, in Part 1 I coded and went over the top level math and requirements for a single node to mine its own blockchain; I create new blocks that have the valid information, save them to a folder, and then start mining a new block. Part 2 covered having multiple nodes and them having the ability to sync. If node 1 was doing the mining on its own and node 2 wanted to grab node 1’s blockchain, it can now do so.

For Part 3, read the TL;DR right below to see what we got going for us. And then read the rest of the post to get a (hopefully) great sense of how this happened.

### TL;DR

Nodes will compete to see who gets credit for mining a block. It’s a race! To do this, we’re adjusting `mine.py` to check if we have a valid block by only checking a section of nonce values rather than all the nonces until a match. Then APScheduler will handle running the mining jobs with the different nonce ranges. We shift the mining to the background if we want `node.py` to mine as well as being a Flask web service. By the end, we can have different nodes that are competing for first mining and broadcasting their mined blocks!

Before we start, here’s the code on Github if you want to checkout the whole thing. There are code segments on here to illustrate about what I did, but if you want to see the entire code, look there. The code works for me, but I’m also working on cleaning everything up, and writing a usable README so people can clone and run it themselves. Twitter, and contact if you want to get in contact.

### Mining with APScheduler and Mining Again

The first step here is to adjust mining to have the ability to stop if a different node has found the block with the index that it’s working on. From Part 1, the mining is a while loop which will only break whenz it finds a valid nonce. We need the ability to stop the mining if we’re notified of a different node’s success.