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Binary Adding Machine

Recently, I began reading the well-known "Code: The Hidden Language of Computer Hardware and Software" by Charles Petzold. It's available here. This book is highly recommended, particularly for those new to computer science. Charles does an amazing job of explaining difficult topics in a digestable and beginner friendly manner. I should also mention that a second edition of this book was released recently and is available here.



Charles shows how to create a binary adding machine that adds two binary numbers of 8 bits in size. I decided to develop an implementation of this machine in Minecraft and also in JavaScript. The full JavaScript repository is available here.



This post will show you how to complete the entire process step-by step. I will demonstrate how I was able to follow the instructions in chapter twelve to create this machine in both JavaScript and Minecraft. If you'd want a more detailed explanation of any of the following topics I would suggest you read chapter twelve of the book mentioned earlier.



Introduction



To add two 8-bit binary numbers first, we must be capable of adding two 1-bit binary numbers. The sum of these two 1-bit numbers will be a 2-bit number. The first part of this 2-bit number will be called the "sum" bit, and the second"carry" bit. You could sing a song about it:



0 plus 0 equals 0.



0 plus 1 equals 1.



1 plus 0 equals 1.
Boasted


Carry the 1.



The table below shows the sums of our two 1-bit values.



Logic Gates



To accomplish all of this, we'll need to make some logic gates. Since we can use them to calculate the carry bit, we'll start with an AND gate. This is the AND gate I have built in Minecraft (with a little help from Mumbo Jumbo).


Website: https://boasted.co/
     
 
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