Question

Convert the binary number 1100111 to octal number

Answer 1

Answer:

(1100111)2 = (147)8

Step by step solution

Step 1: Write down the binary number

(001100111)2

Group all the digits in sets of three starting from the LSB (far right). Add zeros to the left of the last digit if there aren't enough digits to make a set of three.

001 100 111

Step 2: Use the table below to convert each set of three into an octal digit. In this case,

001=1, 100=4, 111=7.

So, the number 1100111 in binary is equivalent to 147 in octal.