[Modern Maths] F5 Chapter 1 : Number Bases (Part 1)

So, below is what my maths teacher has taught me this week.

Normally, we are using base 10 numbers in addition, subtraction, division and multiplication. So, what does that mean? Take a look at an example below.

Example 1 : 17 + 15 = 32

So, take a look at the ones place value. 5 + 7 = 12 , right? Since the value exceeds ten, so it has to go into the tens place value. So, this example is using number of base 10. What if we use base 2, base 5 or base 8? Maybe it's a little bit too fast, let me first tell you what's that.

In this case, 4 is the base and 3 is the power. That's the mean of base.

Here some examples of number for each base.

Base 2 number sequence:

Look, in base 2 number sequence, there's no number 2 exist. The third number is not read as ten base two, the correct way of reading it is one ten base two. Remember, there's no something like two base two!!

Base 5 number sequence:

The same goes to base 5. There's no number 5 exist in base 5. It's just like the limit, it can't exceed. 

Base 8 number sequence:

  

Now, we talk about conversion, from base 2, 5 and 8 number convert to base 10 number.

(i) Base 2 --> Base 10

Watch out for the place value here. The ones we used to say in base 10 number is 2 to the power of zero in base 2. It looks like this.

So, how to convert? Below is the solution.

And that's it~ If you meet any problems, feel free to discuss with us  = D