BF38 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BF38 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 BF38 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BF38 by 16⁰, multiply the second to last digit in BF38 by 16¹, multiply the third to last digit in BF38 by 16², multiply the fourth to last digit in BF38 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
3 × 16¹ = 48
F × 16² = 3840
B × 16³ = 45056

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:

8 + 48 + 3840 + 45056 = 48952

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.

48952 ÷ 2 = 24476 with 0 remainder
24476 ÷ 2 = 12238 with 0 remainder
12238 ÷ 2 = 6119 with 0 remainder
6119 ÷ 2 = 3059 with 1 remainder
3059 ÷ 2 = 1529 with 1 remainder
1529 ÷ 2 = 764 with 1 remainder
764 ÷ 2 = 382 with 0 remainder
382 ÷ 2 = 191 with 0 remainder
191 ÷ 2 = 95 with 1 remainder
95 ÷ 2 = 47 with 1 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 BF38 hexadecimal to binary:

BF38 hexadecimal = 1011111100111000 binary

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BF39 hexadecimal to binary
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