How is 39 converted to octal?

Repeated division by 8, remainders read bottom to top

Convert (39.75)₁₀ to octal

Short answer

Repeatedly divide integer 39 by 8 to get 47₈, and multiply fraction 0.75 by 8 to get 0.6₈. Result is 47.6₈.

Convert (39.75)₁₀ = (?)₈.

Convert the integer part by repeated division by 8 and the fraction part by repeated multiplication by 8.

Integer part (39):

Division	Quotient	Remainder
39 ÷ 8	4	7
4 ÷ 8	0	4

Reading remainders bottom to top: $39_{10} = 47_8$ .

Fraction part (0.75):

Multiplication	Result	Integer digit
0.75 × 8	6.00	6

Fraction becomes 0, so $0.75_{10} = 0.6_8$ .

Check: $4 \times 8 + 7 + 6/8 = 39.75$ .

Answer: $(39.75)_{10} = (47.6)_8$

✓ Answer checked by Claude Opus 5.5 (high effort)