Chapter 4.3, Problem 61E

Another Conversion Method There is an alternative method for changing a base 10 numeral to a different base.

This method will be used to convert 328 to base 5. Dividing 328 by 5

gives a quotient of 65 and a remember of 3. Write the quotient below the dividend and the remainder on the right, as shown.

Continue this process of division by 5.

(In the last division, since the dividend, 2, is smaller than the divisor 5, the quotient is 0 and the remainder is 2.)

Note that the division continues until the quotient is zero. The answer is read from the bottom number to the top number in the remainder column. Thus, 328 = 2303₅.

1. a. Convert 683 to base 5 by this method.
2. b. Convert 763 to base 8 by this method.