Question

387 in base 10 to base 5

Please give a step by step

Answer 1

387 base 10 = 2022 base 5

Explanation:

R means Remainder

To keep dividing by 5 until you have 0 R n, where n can be any number less than 5.

387/5 = 77 R 2

77/5 = 15 R 2

15=5 = 3 R 0

3/5 = 0 R 2

387 base 10 = 2022 base 5

Your answer is - writing out the remainders from the last operation to the first.

Answer 2

Answer: 387 in base 10 to base 5 is 3022

Explanation:

In base 5, the highest digit is 4 likewise in base 10, the highest digit is 9.

To convert 387 in base 10 to base 5, we would take the following steps

First step, is to divide the number to be converted by 5. The remainder forms the last digit of the number in base 5 while the quotient is divided again to get a new quotient and remainder. The new remainder forms the next digit to the left of the last digit. It continues till it gets to zero. Therefore,

387/5 = 77 remainder 2(last digit)

77/5 = 15 remainder 2(next digit to the left of the last).

15/5 = 3 remainder 0(next digit to the left)

3/5 = 0 remainder 3(next and final digit to the left)

Therefore, 387 in base 10 to base 5 is

3022