Hexadecimal in Digital Logic : Practice MCQ Questions & Answers with Explanations

The correct option is (1) Concept:- In the number system, we know hexadecimal is base 16 and octal is base-8 Calculation: To convert hexadecimal D.C to octal, First, convert D.C16 into decimal = D16 = D × 160 + C × 16-1 = 13.7510 Now, we have to convert 13.7510 to octal 13/8 = 1 with remainder 5 1/8 = 0 with remainder 1 13 = 15 ----(1) For converting decimal fraction 0.75 to octal number, 0.75 × 8 = 6 + 0 0.75 = 0.6 ---(2) ∴ 13.7510 = 15.68 ------ [ from (1) and (2) Hence, hexadecimal number D.C converted to octal is equals: 15.6