Question

Explain how to convert the decimal number 25 to a binary number

Answer 1

Answer:

11001

Explanation:

Step 1) Divide 25 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 25 as a binary.

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

25 / 2 = 12 with 1 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 25 converted to binary is therefore:

11001