Question

203 in base 5 when converted to base 8, becomes

• A. 61
• B. 53
• C. 145
• D. 65

Answer 1

The correct option is D 65

$(203{)}_5=(?{)}_{10}=2\times 5^2+0\times 5^1+3\times 5^0$
= 50 + 0 + 3 = 53
Now,
$(53{)}_{10}=(?)8=\frac{6}{8^1}\frac{5}{8^0}=(203{)}_5=(65{)}_8$