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Binary Adding Machine

Recently, I've been reading the renowned "Code The Secret Language of Computer Hardware and Software" by Charles Petzold. It's available here. This book is highly recommended especially for those new to computer science. Charles does an excellent job of explaining complex subjects in a simple and easy-to-understand manner. You can also find the second edition here.



In chapter 12, Charles describes how to create a basic binary adding machine that can add two binary numbers with 8 bits. I decided to develop an implementation of this machine in Minecraft as well as in JavaScript. Minecraft servers The complete JavaScript repository can be found here.



In this post we will go through the entire process step-by-step. I will show how I was successful in following the steps in chapter twelve to create this machine in both JavaScript and Minecraft. If you'd like a more in-depth explanation of any of the following topics I would suggest you go through chapter 12 of the book mentioned above.



Introduction



To add two 8-bit binary numbers, we first need to be able to add two binary numbers of one bit. The sum of these two 1-bit numbers will be a two-bit number. We'll call the first bit of this 2-bit number the "sum" bit and the second one the "carry" part. If you wanted to sing an anthem about it, you might say:



0 plus 0 equals 0.



0 plus 1 equals 1.



1 plus 0 equals 1.



1 plus 1 equals 0; carry the 1.



The table below describes the sums of our two 1-bit numbers.



Logic Gates



To do all of this, we'll need build some logic gates. We'll start with the AND gate, since we can use it to calculate the carry part. This is the AND gate I've created in Minecraft (with some assistance from Mumbo Jumbo).


My Website: https://minecraftservers.sbs/
     
 
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