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Binary Adding Machine

Charles Petzold's "Code: The Secret Language of Computer Hardware and Software" is a favorite of mine. You can get it here. This book is highly recommended especially for those new to computer science. Charles does an excellent job of explaining complex subjects in a digestible and user-friendly manner. I'd like to add that a new edition of this book has recently been released, which you can find here.



Charles demonstrates how to create an adder 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 complete JavaScript repository can be found here.



In this article, we will walk through the entire process step by step. I will demonstrate how I was capable of following the directions in chapter twelve to build this machine using JavaScript and Minecraft. If you'd like a more in-depth explanation of any of the topics listed below I suggest you go through chapter 12 of the aforementioned book.



Introduction



First, we need to be able to add two binary numbers with a 1-bit format to create two binary numbers of 8 bits. The sum of these two 1-bit numbers is a 2-bit number. We'll call the first part of this 2-bit number the "sum" bit and the second one the "carry" part. If you were to sing an anthem about it, you could say:



0 plus 0 equals 0.



0 plus 1 equals 1.



1 plus 0 equals 1.
ALUSKY.XYZ


Take the 1.



The following addition table describes the sums of our two 1-bit number.



Logic Gates



We'll need logic gates for this. Because we can use it to calculate the carry bit, we'll start with an AND gate. Here's the gate I've constructed in Minecraft (with some assistance from Mumbo Jumbo).


Here's my website: https://alusky.xyz/
     
 
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