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I just want to know the algebriac method, I know the easy way but I am not sure these are correct.


The Binary system is udes for computer programming. A binary number consits of a sting of digits that are eigther 0s or 1s.

a) If a string of Binary code is 5 digits long, how many binary numbers are possible if the first digit is 1.

The answer I have is 16 which I got from 1*2*2*2*2 but I would like to know the algebriac method for this question as I am not sure this is correct.


b) How many different binary numbers can be represented by a string of binary code with 5 digits if the first digit is 1 and the last 2 are 0s?

I have the answer 4 which I obtained from 1*2*2*1*1 but I would like to kknow the algebraic method as I am not sure this is correct.

2006-12-03 07:56:46 · 1 answers · asked by gg 4 in Science & Mathematics Mathematics

1 answers

There is no 'algebraic' method - what you have done is perfectly correct, and is exactly how you are meant to solve it.

I guess you could say something like: if there are x digits which we don't know, the answer is 2^x. But thats what you've done, anyway.

2006-12-03 08:06:41 · answer #1 · answered by stephen m 4 · 0 0

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