Convert the following binary number to octal (111000) 2

Answer: (111000) 2 = (70) 8

Step by step solution:

Step 1: Write down the binary number

(111000) 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.

111 000

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

111=7, 000=0.

So, the number 111000 in binary is equivalent to 70 in octal.

To convert from binary to octal use the following table:

Bin: 000 001 010 011 100 101 110 111

Octal: 0 1 2 3 4 5 6 7