# Binary 1

I shall believe that everyone would know binary. We use the base-10 system, which uses 0,1,2,3,4,5,6,7,8 and 9. However, binary only uses 0 and 1.

Before I get technical, I believe that we would have been used to the binary system if it was created. What you learn depends on your surroundings. If you were taught binary first, we would be more used to it. But, is it actually more convenient?

Of course, it only uses 0 and 1. convenient? Possibly. But it would be long. 566 in base-10 is 1000110110.3 digits became 10! However, as strange as it is for a person used to binary to learn 8 more symbols, it is also strange for us to use such long codes.

Addition of two numbers would be a breeze. Either 0, 1, or 1 to the next number. More than that, it would be a bit strange...

Try 1110111000 +1001010101 +1010010100 +1011011101.

But, they would have figured out some way...

Then, multiplication comes. Its practically addition of some numbers. Either add, or not. Multiplication of 3 or more numbers will be strange, but isn't it already?

For instance, 1101 x1011 =1011000+101100+1011
1011000 +101100 + 1011 =10011111

So, yeah...

I'll take some time to think of other examples, but for now, i'll just keep with this...

Note by Aloysius Ng
5 years, 11 months ago

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

• Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
• Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
• Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$ ... $$ or $ ... $ to ensure proper formatting.
2 \times 3 $2 \times 3$
2^{34} $2^{34}$
a_{i-1} $a_{i-1}$
\frac{2}{3} $\frac{2}{3}$
\sqrt{2} $\sqrt{2}$
\sum_{i=1}^3 $\sum_{i=1}^3$
\sin \theta $\sin \theta$
\boxed{123} $\boxed{123}$

Sort by:

Thanks for writing this up!

Can you contribute to the Brilliant Wiki by adding to the Binary Numbers page? It will be helpful to flesh it out with your examples.

Staff - 5 years, 11 months ago