number theory
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Write the numbers 25, 32, 56 to the base 5.
write 47, 68, 127 to the base 2.
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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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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 ---> ...
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