iGotcha! : [Modern Maths] F5 Chapter 1 : Number Bases (Part 2)

In Part 1 we learnt all the bases (2,5,8 & 10) and how to convert the first three bases into base 10 numbers.

And for today, we're going to learn its reversible process, that is from base 10 number to another number with different bases. It also can be from base 5 number to base 2 number or base 8 number to base 5 number. We're going to learn it in two ways, one with calculator and another is manually. As for the manually process, you have to remember the LCM (Lowest Common Multiple) which we learnt in Form 1 Maths. But it's a little bit differ from Form 1 LCM. In this case, we need to write down the remainder, why? I'll show you the working first and then you'll understand.

(a) Base 10 number convert to base 2 number.

e.g. :

You can check your answer by using calculator. First, press mode twice, and then press on the number which refers to "Base". Then, press on x^2 which have a green capital letter DEC on it. Then, type the number which you want to convert. From the example, we type 397. And then press the equal symbol. After that, press on the log which have a green capital letter BIN on it. See, that's the answer.

(b) Base 2 number to base 5 number

e.g.:

In this case, you have to first convert the base 2 number into base 10 and then convert it to base 5 number. And it's sorry to say that there's no solution provided by using scientific calculator to convert any base of number to base 5 number or vice versa. I'm not going to show the working for this question, in fact, you should do it on your own haha! XD Post your answer in the comment part.

This time, we use the same number, because the answer come out can be different. But from base 2 to base 8 or vice versa is much more easier than other conversion of base actually. See how it works. Do you still remember the base 2 number sequence? Just list down the first 7 number of base 2 numbers, that is