Question

Convert the following base ten number to a numeral in the indicated base. 123 to base 6 123=6

Answer 1

To convert the base ten number 123 to base 6, divide 123 by 6 repeatedly and read the remainders in reverse order to obtain the numeral in base 6.

Step-by-step explanation:

To convert the base ten number 123 to base 6, we need to find the equivalent numeral in base 6. We can do this by dividing 123 by 6 repeatedly and noting the remainders. The final numeral in base 6 is obtained by reading the remainders in reverse order.

Following are the steps:

1. Divide 123 by 6. The quotient is 20 and the remainder is 3.
2. Divide 20 by 6. The quotient is 3 and the remainder is 2.
3. Divide 3 by 6. The quotient is 0 and the remainder is 3.

Reading the remainders in reverse order, the numeral in base 6 is 323.

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