How Many Kilobytes are in a Megabyte and How is it Calculated?

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There are 1,024 kilobytes in a megabyte when using binary calculations, which is commonly applied in computing. This means that 178,000 kilobytes translates to approximately 173.8 megabytes when calculated using the binary system. However, in marketing terms, a megabyte is often represented as 1,000,000 bytes, leading to potential discrepancies in reported storage sizes. Thus, hard drives marketed as 100 megabytes may actually show less capacity on a computer due to this difference in measurement. Understanding these distinctions is crucial for accurate data management and storage calculations.
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simple questions:

How many kilobtyes are in a megabyte, and how do you explain this?

and

If i have, let's say, 178,000 kilobytes how many megabytes would this translate to? and how can it be explained?
 
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It's a tricky question.
Technically kilo means 1000 and mega means 1,000,000
But in computers it's often easier to talk about multiples of 1024 so in general speak a kilobyte is 1024 bytes. Techncially this should be called a kibobyte (kibo=1024).

Then you get into marketing speak, hard drives that are sold as 100Mega bytes will often be 100,000,000 bytes - the computer working in kibobytes will list this as only 95Mb ie. 100,000,000 / (1024*1204)

So 178,000kb could be 178Mb or 173.8Mb depending
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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