Convert (41.6875)10 to ( )8

Step 1: Convert the decimal part to binary

0.6875 * 2 = 1.375
0.375 * 2 = 0.75
0.75 * 2 = 1.5
0.5 * 2 = 1.0

So, the binary representation of the decimal part is 0.1011.

Step 2: Convert the integer part to binary

41 ÷ 8 = 5 with a remainder of 1
5 ÷ 8 = 0 with a remainder of 5

So, the binary representation of the integer part is 101001.

Step 3: Combine the integer and fractional parts

101001.1011

Step 4: Convert the binary representation to octal

000 101 001 . 101 100

So, the octal representation of (41.6875)10 is (51.54)8.