convert base ten number to a number in identical base
59 to base 4
What do you mean by "a number in identical base?"
Identical to what?
59 (base 10) = 3*4^2 + 2*4^1 +3*4^0
To base 4, it would be written as 323
I'm not sure that is how the problem was given to us
To convert a base ten number (decimal) to a number in an identical base, follow these steps:
Step 1: Divide the decimal number by the base.
Divide 59 by 4: 59 ÷ 4 = 14 with a remainder of 3.
Step 2: Write down the remainder as the rightmost digit of the new number.
The remainder is 3, so the rightmost digit is 3.
Step 3: Repeat steps 1 and 2 using the quotient in step 1 as the new dividend until the quotient becomes zero.
Divide the quotient (14) by 4: 14 ÷ 4 = 3 with a remainder of 2.
The remainder is 2, so the next digit after 3 is 2.
Step 4: Write down the remainders in reverse order.
Since we started with the highest power of the base at step 1, the remainders will be written from right to left.
In this case, the remainders are 2 and 3, so the number in base 4 is 32.
Therefore, the base ten number 59 is equal to 32 in base 4.