Thought for Today
Understanding Place Value
- Before we dive into the details of how to use our calculator, let's take a closer look at place value and how it works. In the decimal system, which is the base 10 system we use every day, each digit in a number represents a power of 10. For example, in the number 123, the "1" represents 1 hundred, the "2" represents 2 tens, and the "3" represents 3 ones.
- Converting Numbers in Different Base Systems
- Now that we understand place value, let's explore how to convert numbers from one base system to another. The process involves converting the original number to base 10 and then converting it to the desired base system.
- For example
- let's say we want to convert the binary number 1010 to decimal. We can use the place value method to do this by multiplying each digit by its corresponding power of 2 and adding up the results.
Everything You Need to Know About Place Value and How to Convert Numbers in Different Base Systems.
[ 1 * 23 + 0 * 22 + 1 * 21 + 0 * 20 ] = [ 8 + 0 + 2 + 0 ] = 10
So, the binary number 1010 is equivalent to the decimal number 10.