Introduction
Welcome to this step-by-step guide on how to convert from Base 2 to Base 8. This guide is for the absolute beginner who is wondering how to make the change from base 2 to base 8 without the hassle of a lengthy calculation process. We will provide you with the necessary mathematical steps as well as a few tips on how to make the conversion easier and faster.
What is the Base 2 and Base 8 System?
The base two system is commonly referred to as the binary system and is commonly used in computers and digital devices. This system uses the combination of two digits, 0 and 1, to represent any numerical value. The base eight system is also known as the octal system, which uses the combination of eight digits, 0 to 7, to represent any numerical value.
How to Make the Conversion
The conversion from the base two system to the base eight system is relatively straight forward. We will use an example numerical value of 11011011 to demonstrate the process.
Step 1: Separate into Groups of Three
The first step is to separate the numerical value into groups of three, like this: 110 110 11.
Step 2: Convert the Separated Values
The second step is to convert the separated values in the base two system to the base eight system, like this: 6 6 3.
Step 3: Join the Values Together
Finally, the third step is to join the converted values together, like this: 663. This is the equivalent numerical value of 11011011 in the base eight system.
Tips on How to Make the Conversion Easier
Add leading zeros if necessary. For instance, if the numerical value has less than three digits, add one or two zeros on either side depending on the size of the numerical value. For example, 1110 in base two will become 001 110, which can then be converted to 006 6.
Write the numerical values out by separating them into groups. This will make the conversion easier to follow and make sure you do not miss out any.
FAQ
What is the binary system?
The binary system is a base-2 system that is commonly used in computers and digital devices. It works by using the combination of two digits, 0 and 1, to represent any numerical value.
What is the octal system?
The octal system is a base-8 system that is also known as the base-eight system. It works by using the combination of eight digits, 0 to 7, to represent any numerical value.
How do you convert from base two to base eight?
The conversion from the base two system to the base eight system involves three steps:
- Separate the numerical value into groups of three;
- Convert the separated values in the base two system to the base eight system; and
- Join the converted values together.
What are some tips to make the conversion easier?
- Add leading zeros if necessary; and
- Write the numerical values out by separating them into groups.
Are there any online tools that can help with the conversion?
Yes, there are many online tools available to help with the conversion from base two to base eight. A few popular tools include Number Converter.