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

To convert an octal number to a decimal number, we need to understand the place values in an octal number system. The place values are powers of 8, starting from the rightmost digit and moving left.

For the integer part:

5 * (8^2) = 5 * 64 = 320 3 * (8^1) = 3 * 8 = 24 2 * (8^0) = 2 * 1 = 2

Adding these up, we get 320 + 24 + 2 = 346

For the fractional part:

2 * (8^-1) = 2 * 0.125 = 0.25

Adding the integer and fractional parts, we get 346 + 0.25 = 346.25

So, the decimal representation of the octal number (532.2)8 is 346.25.