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    number theory

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    Write the numbers 25, 32, 56 to the base 5.

    write 47, 68, 127 to the base 2.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:11 pm ad1c9bdddf
    https://brainmass.com/math/number-theory/number-theory-explanation-34163

    Solution Preview

    Base 5:

    25:

    25= 5*5+0 ---> Keep 0 Take 5 to the next step:

    5= 5*1+0 ---> keep 0 and 1 is also less than 5 so keep that too.

    Now put the numbers beside each other: 1 then 0 then 0:

    (25) in base 5= 100. Verify that 1*5^2+0*5+0=25

    32:

    32= 5*6+2 ---> keep 2 and take 6 to the next step:

    6= 5*1+ 1 ---> keep 1 and 1 is also less than 5 so keep that too.

    Now put the numbers beside each other: 1 then 1 then 2:

    (32) in base 5= 112. Verify that 1*5^2+1*5+2=32

    56:

    56= 5*11+1 ---> keep 1 and take 11 to the next step:

    11= 5*2+ 1 ---> ...

    Solution Summary

    This solution is comprised of a detailed explanation to write the numbers 25, 32, 56 to the base 5 and 47, 68, 127 to the base 2.

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