Question

(1010110010)2= (_____)8

A problem in computer application

Answer 1

Answer:

1262

Explanation:

Step 1: Write down the binary number

(001010110010)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.

001 010 110 010

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

001=1, 010=2, 110=6, 010=2.

So, the number 1262 is the octal equivalent to 1010110010 in binary.

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