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# Bit Conversion

Ranch Hand
Posts: 146
Can someone help me out on short cuts
of converting decimal and octal numbers
to and from binary.
My exams is next saturday.

Greenhorn
Posts: 6
Hope that helps.
BigInteger is not a objective of the SCJP as far as i know.

Output is:
1001
1001
9

Ranch Hand
Posts: 30

And, there is also a toHexString(..) and toOctalString(..)

Good luck with your exam! and let us know how it goes...

Saurabh

Ranch Hand
Posts: 3271

Sheriff
Posts: 11343
mi, a number of "shortcuts" were offered under your previous post:

http://www.coderanch.com/t/248524/java-programmer-SCJP/certification/Bits-Conversion

If these didn't help, then what exactly are you looking for?

(BigInteger and BigDecimal are not on the SCJP 1.4 exam.)

MI Mohammed
Ranch Hand
Posts: 146
Marc,
Result from my last post on this topic
was very helpful, i now know that in hex
0000 --> 0
so to get other simply add 1 to 0000
downwards.
i just need a similar formula
for oct and binary.
cheers

marc weber
Sheriff
Posts: 11343
Do you understand the rationale behind these representations?

For example, decimal numbers use ten as a base. This means that each digit represents a quantity multiplied by ten raised to some power. Specifically, the right digit is multiplied by 10^0, the digit to the left of that is multiplied by 10^1, the digit to the left of that is multiplied by 10^2, and so on.

So in base ten, 987 means (9 * 10^2) + (8 * 10^1) + (7 * 10^0).

In binary, the base is two, so 101 means (1 * 2^2) + (0 * 2^1) + (1 * 2^0).

In octal, the base is eight, so 765 means (7 * 8^2) + (6 * 8^1) + (5 * 8^0).

In hexadecimal, the base is 16 (with letters a-f used to represent 10-15), so c9a means (12 * 16^2) + (9 * 16^1) + (10 * 16^0).

With this understanding, do you see the patterns below?

MI Mohammed
Ranch Hand
Posts: 146
Mike,