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Excellent. One more question: if the number &lt;&nbsp;1,200,000,000, it's OK. Do you have any idea when the number is larger than it, say 8,000,000,000?
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Excellent. One more question: if the number < 1,200,000,000, it's OK. Do you have any idea when the number is larger than it, say 8,000,000,000?

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This will work only for 32bit signed integer, meaning 2,17 billion.<br />
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The algorithm is standard binary coding, because of &quot;power 2&quot; in point 1. Why to obscure that fact? Sounds like homework ...<br />
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This will work only for 32bit signed integer, meaning 2,17 billion.

The algorithm is standard binary coding, because of "power 2" in point 1. Why to obscure that fact? Sounds like homework ...



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Not homework but simplied real issue. 
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1) there are 6 numbers 1,2,4,8,16,32,64. Increase by power 2.<br />
2) given a number N &lt;=64, for example 59, see what numbers in 1) consist of 59.<br />
3) a number can be used only once.<br />
It's better to code in DOS shell.<br />
For example, 59 = 32+16+8+2+1
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1) there are 6 numbers 1,2,4,8,16,32,64. Increase by power 2.
2) given a number N <=64, for example 59, see what numbers in 1) consist of 59.
3) a number can be used only once.
It's better to code in DOS shell.
For example, 59 = 32+16+8+2+1

algorithm: how to seperate a number into a group of small numbers

An algorithm is a self-contained step-by-step set of operations to be performed. Algorithms exist that perform calculation, data processing, and automated reasoning. Starting from an initial state and initial input (perhaps empty), the instructions describe a computation that, when executed, proceeds through a finite number of well-defined successive states, eventually producing "output" and terminating at a final ending state. The transition from one state to the next is not necessarily deterministic; some algorithms, known as randomized algorithms, incorporate random input.

Algorithms

Microsoft Disk Operating System (MS-DOS) was an operating system for x86-based personal computers, and traces of it are still found in the Windows operating system. DOS is still used in some embedded systems and for certain legacy 16-bit networks.