SOLUTION: The decimal number 75 is equivalent to what base four number?

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Question 185472: The decimal number 75 is equivalent to what base four number?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, divide 75 by 4 to get: 75/4=18 r 3


Now take the result 18 and divide by 4 to get: 18/4=4 r 2


Take the result 4 and divide by 4 to get: 4/4=1 r 0


Take the result 1 and divide by 4 to get: 1/4=0 r 1


So we have the remainders: 3, 2, 0, 1


Reverse the order of the remainders: 1,0,2,3


Combine them to form one number: 1023


So 75 base 10 is equal to 1023 base 4


You might see it written this way: 75%5B10%5D=1023%5B4%5D+