My purpose

Know how to quickly remember 10^x to 2^y , or find a online tool can convert between them.

for example:

10^1 to 2^3(approximations) 
10^6 to 2^20(approximations) 
10^x to 2^y(approximations) 

My purpose comes out English problem

I don't know the proper words for this, how do I say it ?

In Chinese, we usually say 10的x次方 (10's x power) to indicate 10^x , but direct translation (convert 10 power to 2 power) seems not correct and looks weird to me .

What I tried

I don't know how to say that, so I choose a simple sentence convert decimal to binary approximations. Searched google, but the results (websites) are of the kind that always are providing tools used to

convert 10(decimal) to 1010(binary)

  • '10's powers' is valid in English. – Varun Nair Nov 27 '17 at 8:40
  • The canonical English version of 10^6 is 10 to the power of 6 – mplungjan Nov 27 '17 at 9:23
  • Do you mean convert log10 to log2? – StoneyB Nov 27 '17 at 12:09


10^1 is 10 to the first power

2^3 is 2 to the third power

10^6 is 10 to the sixth power

2^20 is 2 to the twentieth power.


Generally, as you suggested, "power" is a very valid usage in terms on Mathematics, even in English.

10 ^n : 10 to the 'n' th power.

Alternatively, I've heard the usage 'raised to' also. I'm not a native speaker, so I'm not sure about the frequency of its usage.

10 ^n: 10 raised to 'n'

  • 1
    Even shorter, you can say "ten to the n". – Michael Rybkin Nov 27 '17 at 8:58
  • Even though the question has already received two answers, I'm pretty sure that's not what the OP was actually asking. – Michael Rybkin Nov 27 '17 at 9:00
  • 1
    This is what I could deduce from what he has posted. If he makes it cleared, I'm open to modifying the answer, as well as to take it down :) – Varun Nair Nov 27 '17 at 9:19
  • Do you mean convert 10 power to 2 power is correct/nature saying in English ? convert 10 to the 'n' th power to 2 to the 'm' th power approximately, this sounds even more strange ... – Mithril Nov 28 '17 at 1:03
  • @Cookie Monster Google search 10 to the 10 directly give the answer, that's a good knowledge. – Mithril Nov 28 '17 at 1:06

The other answers tell you how to express exponential notation, however if your question is how to change a base 10 exponent to a base 2 exponent, the verb is to convert.

What is an easy way to convert from decimal to binary?

You can easily search for an online conversion tool that changes numbers from decimal to hexidecimal or binary.

You can also express something in decimal as a binary number.

Is there an easy way to express a decimal exponential as a binary exponential.

Note: "Decimal" is equivalent to "base 10" and "binary" is equivalent to "base 2".

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