8F37 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8F37 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 8F37 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8F37 by 16⁰, multiply the second to last digit in 8F37 by 16¹, multiply the third to last digit in 8F37 by 16², multiply the fourth to last digit in 8F37 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
3 × 16¹ = 48
F × 16² = 3840
8 × 16³ = 32768

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:

7 + 48 + 3840 + 32768 = 36663

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.

36663 ÷ 2 = 18331 with 1 remainder
18331 ÷ 2 = 9165 with 1 remainder
9165 ÷ 2 = 4582 with 1 remainder
4582 ÷ 2 = 2291 with 0 remainder
2291 ÷ 2 = 1145 with 1 remainder
1145 ÷ 2 = 572 with 1 remainder
572 ÷ 2 = 286 with 0 remainder
286 ÷ 2 = 143 with 0 remainder
143 ÷ 2 = 71 with 1 remainder
71 ÷ 2 = 35 with 1 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 8F37 hexadecimal to binary:

8F37 hexadecimal = 1000111100110111 binary

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8F38 hexadecimal to binary
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