Question

Convert the octal number 3105 to the corresponding binary number​

Answer 1

Step 1) Divide 3105 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

Step 3) Repeat Step 2 above until the Whole part is 0.

Step 4) Write down the Remainders in reverse order to get the answer to 3105 as a binary.

Here we will show our work so you can follow along:

3105 / 2 = 1552 with 1 remainder

1552 / 2 = 776 with 0 remainder

776 / 2 = 388 with 0 remainder

388 / 2 = 194 with 0 remainder

194 / 2 = 97 with 0 remainder

97 / 2 = 48 with 1 remainder

48 / 2 = 24 with 0 remainder

24 / 2 = 12 with 0 remainder

12 / 2 = 6 with 0 remainder

6 / 2 = 3 with 0 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 3105 converted to binary is therefore:

110000100001