Final answer:
To convert the decimal numbers 775 and 652 to octal, divide them by 8 and record the remainder. Repeat this with the new quotient until it reaches 0. The octal numbers are 1407 and 1214, respectively.
Step-by-step explanation:
The student's question involves converting decimal numbers to octal. Given are two decimal numbers, 77510 and 65210, which need to be converted to their respective octal representations.
To convert from decimal to octal, you divide the decimal number by 8 and keep track of the remainders. This process is repeated with the quotient obtained after each division until the quotient is 0. The octal number is then written by concatenating the remainders in reverse order, starting from the last remainder obtained.
For 77510, the process is as follows:
- 775 ÷ 8 = 96 remainder 7
- 96 ÷ 8 = 12 remainder 0
- 12 ÷ 8 = 1 remainder 4
- 1 ÷ 8 = 0 remainder 1
Read the remainders in reverse: 14078
For 65210, the process is:
- 652 ÷ 8 = 81 remainder 4
- 81 ÷ 8 = 10 remainder 1
- 10 ÷ 8 = 1 remainder 2
- 1 ÷ 8 = 0 remainder 1
Read the remainders in reverse: 12148