390F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 390F 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 390F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 390F by 16⁰, multiply the second to last digit in 390F by 16¹, multiply the third to last digit in 390F by 16², multiply the fourth to last digit in 390F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
0 × 16¹ = 0
9 × 16² = 2304
3 × 16³ = 12288

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 + 0 + 2304 + 12288 = 14607

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.

14607 ÷ 2 = 7303 with 1 remainder
7303 ÷ 2 = 3651 with 1 remainder
3651 ÷ 2 = 1825 with 1 remainder
1825 ÷ 2 = 912 with 1 remainder
912 ÷ 2 = 456 with 0 remainder
456 ÷ 2 = 228 with 0 remainder
228 ÷ 2 = 114 with 0 remainder
114 ÷ 2 = 57 with 0 remainder
57 ÷ 2 = 28 with 1 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 390F hexadecimal to binary:

390F hexadecimal = 11100100001111 binary

Hexadecimal to Binary Converter
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