QuestionConvert these base-ten numbers to the specified bases: a. 372 to base 5, b. 4178 to base 12, c. 44 to base 2.
Studdy Solution
STEP 1
Assumptions1. We are converting base-ten numerals to different bases. . The numeral to be converted is372, and the target base is five.
STEP 2
To convert a base-ten numeral to another base, we can use the method of repeated division by the target base. We start by dividing the base-ten numeral by the target base.
STEP 3
Perform the division.
STEP 4
The remainder is the least significant digit (rightmost digit) of the base-five numeral. We then repeat the process with the quotient.
STEP 5
Perform the division.
STEP 6
The remainder is the next digit of the base-five numeral. We repeat the process with the new quotient.
STEP 7
Perform the division.
STEP 8
The remainder is the next digit of the base-five numeral. We repeat the process with the new quotient.
STEP 9
Perform the division.
STEP 10
The remainder is the most significant digit (leftmost digit) of the base-five numeral. The process stops when the quotient is zero.
STEP 11
The base-five numeral is formed by writing the remainders from the last to the first.The base-ten numeral372 is equal to the base-five numeral244.
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