@John Rennie Hii

My Q is about conversion of number systems

@S.M.T Aha, found it :-)

@JohnRennie Hii

@JohnRennie Thank god.

I have written here conversion of a number into each number system.

OK ... ?

Ok. Now , in my textbook . It states this.

Ok so far sir ?

Yes, that looks fine.

So , as we can notice . We used the base 2 for conversion of binary to decimal.

Now , if we have to convert this binary number into hexa decimal or octa ?

Wouldn’t we use the same base ?

But the answer will always be 9. Then , how is that correct ?

Ok.

I generally use option 2.

@JohnRennie So , I have to convert decimal to hexa & octal now ?

Of course the answer is the same whatever way you use, but I find converting to decimal first is easier.

That's what I would do.

In my textbook , there is only 1 method I.e Dabble method.

Is that what you’re talking about ?

Though in fact there is a quick way to convert binary to any base that is a power of 2.

@JohnRennie ok. What is it then ? I’m having lots of difficulty with textbook.

In binary one bit can hold the numbers zero to one. Yes?

@JohnRennie K

And two bits can hold the numbers zero to three i.e. 00 is zero, 01 is one, 10 is two and 11 is three. Yes?

Ok.

So suppose you have a number 1010100 and you want to convert it to base 4 where each digit can be from zero to three. Then each digit in base 4 corresponds to two bits in binary. So you take your number 1010100 and divide it into pairs of digits ( 1)(01)(01)(00) like that.

Then each pair is one digit in base 4, so the number is 1110 in base four.

OK so far?

@JohnRennie Did not get this step

I need to drop out for ten minutes to do something ...

@JohnRennie Np sir. Just one thing. Did you mean what I wrote down below ?

@S.M.T I'm not sure what you are doing there ...

@JohnRennie Hii sir.

@JohnRennie Ok. I didn’t get that part

@JohnRennie This one.

Give me a few minutes, I'm just doing something ...

@JohnRennie Sure sir.

@JohnRennie Ping me when done sir.