Q1. Convert (101110)2 = (?)8 from base 2 to base 8.
A (56)8 Correct
B (48)8
C (30)8
D (20)8
Explanation
To convert a binary number to octal, group the binary digits in sets of three from the right. The number 101110 becomes 101 and 110. The binary group 101 equals 5 in octal, and 110 equals 6 in octal, so the result is (56)8. The value (48)8 cannot be an octal numeral because 8 is not an allowed octal digit. The value (30)8 represents a much smaller binary value, and (20)8 represents only 16 in decimal. Hence (56)8 is correct.