Question

Convert the following binary number to octal (111000)2​

Answer 1

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