D04F hexadecimal to binary

Here we will show you how to convert the hexadecimal number D04F to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert D04F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D04F by 16⁰, multiply the second to last digit in D04F by 16¹, multiply the third to last digit in D04F by 16², multiply the fourth to last digit in D04F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
4 × 16¹ = 64
0 × 16² = 0
D × 16³ = 53248

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

15 + 64 + 0 + 53248 = 53327

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

53327 ÷ 2 = 26663 with 1 remainder
26663 ÷ 2 = 13331 with 1 remainder
13331 ÷ 2 = 6665 with 1 remainder
6665 ÷ 2 = 3332 with 1 remainder
3332 ÷ 2 = 1666 with 0 remainder
1666 ÷ 2 = 833 with 0 remainder
833 ÷ 2 = 416 with 1 remainder
416 ÷ 2 = 208 with 0 remainder
208 ÷ 2 = 104 with 0 remainder
104 ÷ 2 = 52 with 0 remainder
52 ÷ 2 = 26 with 0 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to D04F hexadecimal to binary:

D04F hexadecimal = 1101000001001111 binary

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