# Binary Number Calculation: Let's Decode the Numbers!

## What is the binary answer to the binary number 100 added to the binary number 11?

Let's break down the binary numbers and calculate the sum!

## Answer:

111

Let's dive into the explanation to understand how we arrived at the answer "111."

First, let's convert the binary numbers to decimal for easy calculation:

100_{2} = 1 x 2^{2} + 0 x 2^{1} + 0 x 2^{0} = 4

11_{2} = 1 x 2^{1} + 1 x 2^{0} = 3

Adding 4 and 3 together, we get 7 in decimal.

Now, converting 7 back to binary, we get 111_{2}.

So, the binary answer to the binary number 100 added to the binary number 11 is 111.

Don't be afraid to tackle binary calculations, as they can be quite fun and rewarding!