Question

The representation of octal number (532.2)8 in decimal is ________

(a) (346.25)10

(b) (532.864)10

(c) (340.67)10

(d) (531.668)10

The question was asked in exam.

The doubt is from Number System topic in chapter Number System and Codes of Digital Circuits

Answer 1

The correct choice is (a) (346.25)10

To elaborate: Octal to Decimal conversion is obtained by multiplying 8 to the power of base index along with the value at that index position.

(532.2)8 = 5 * 8^2 + 3 * 8^1 + 2 * 8^0 + 2 * 8^-1 = (346.25)10