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Charles Petzold's "Code: The Hidden Language of Computer Hardware and Software" is a favorite of mine. You can find it here. This book is highly recommended especially for those new to computer science. Charles does a wonderful job of explaining difficult topics in a palatable and easy to understand manner for beginners. I would also like to mention that a new edition of the book has been released and is available here.
In chapter 12, Charles describes how to create a basic binary adding machine to add two binary numbers of 8 bits. I decided to create an implementation of this machine in Minecraft as well as in JavaScript. You can access the entire JavaScript repository here.
In this article, we will walk through the entire process step by step. I will show how I was successful in following the steps in chapter 12 to build this machine using JavaScript and Minecraft. If you'd want a more detailed explanation of any of the topics listed below I suggest you read chapter twelve of the aforementioned book.
Introduction
First, we need to be able to add two 1-bit binary number to create two binary 8-bit numbers. The sum of these two 1-bit numbers is an integer of two bits. Minecraft servers The first bit of this 2-bit number will be called the "sum" bit and the second will be"carry" bit. You could sing a tune about it:
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 further illustrates the sum of our two 1-bit numbers.
Logic Gates
We need logic gates for this. Since we can use them to calculate the carry bit, we'll begin with an AND gate. Here's the AND gate I have constructed in Minecraft (with some help from Mumbo Jumbo).
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