Introduction:
Converting decimal to binary is like translating a number from one language (decimal) to another (binary). Decimal numbers are the numbers we use every day (0-9), and binary numbers use only 0 and 1.
Simple Explanation:
What is Decimal to Binary Conversion?
It's a way of writing numbers using only two digits: 0 and 1.
Each binary digit represents a power of 2, starting from the rightmost digit, which is 2<sup>0</sup> (or 1).
Example:
Understanding Binary:
In binary, each digit is a power of 2. The rightmost digit is 2<sup>0</sup>, the next one is 2<sup>1</sup>, then 2<sup>2</sup>, and so on.
So, the number '101' in binary means 1×2<sup>2</sup> + 0×2<sup>1</sup> + 1×2<sup>0</sup>, which is 4 + 0 + 1 = 5 in decimal.
Converting a Decimal to Binary:
Let's convert the decimal number 5 to binary.
We find the largest power of 2 less than 5, which is 4 (or 2<sup>2</sup>).
Write a 1 for 4 and subtract it from 5, leaving 1.
The next largest power of 2 less than 1 is 1 (or 2<sup>0</sup>), so write another 1.
So, 5 in decimal is '101' in binary.
Key Points to Remember:
Binary only uses 0 and 1.
Each binary digit represents a power of 2.
Start from the largest power of 2 and work downwards to convert.
Activity:
Use small objects like coins or buttons to represent binary digits.
Practice converting simple decimal numbers to binary with your child.
Make it a game to see who can convert numbers faster.
Extra Tip:
Create a binary conversion chart together for reference. It's a fun and educational craft activity!