# number theory

Not what you're looking for? Search our solutions OR ask your own Custom question.

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

write 47, 68, 127 to the base 2.

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:11 pm ad1c9bdddfhttps://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.

$2.49