Answer:
Step-by-step explanation:
613 = 4x125 + 113 = 4x53 + 113
Hence the first digit (reading left to right) is a 4.
The remainder is 113 so how many 25's are there in 113?
113/25 = 4 with a remainder of 13
Thus
613 = 4x125 + 4x25 + 13 = 4x53 + 4x52 + 13
Hence the second digit (reading left to right) is also a 4.
The remainder is 13 so how many 5's are there in 13?
13/5 = 2 with a remainder of 3
Thus
613 = 4x125 + 4x25 + 2x5 + 3 = 4x53 + 4x52 + 2x5 + 3
Hence the third digit (reading left to right) is a 2 and the units digit is 3. Therefore
613 written in base 5 is 4423
example
