8372 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8372 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 8372 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8372 by 16⁰, multiply the second to last digit in 8372 by 16¹, multiply the third to last digit in 8372 by 16², multiply the fourth to last digit in 8372 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
7 × 16¹ = 112
3 × 16² = 768
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:

2 + 112 + 768 + 32768 = 33650

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.

33650 ÷ 2 = 16825 with 0 remainder
16825 ÷ 2 = 8412 with 1 remainder
8412 ÷ 2 = 4206 with 0 remainder
4206 ÷ 2 = 2103 with 0 remainder
2103 ÷ 2 = 1051 with 1 remainder
1051 ÷ 2 = 525 with 1 remainder
525 ÷ 2 = 262 with 1 remainder
262 ÷ 2 = 131 with 0 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 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 8372 hexadecimal to binary:

8372 hexadecimal = 1000001101110010 binary

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8373 hexadecimal to binary
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