8423 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8423 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 8423 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8423 by 16⁰, multiply the second to last digit in 8423 by 16¹, multiply the third to last digit in 8423 by 16², multiply the fourth to last digit in 8423 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
2 × 16¹ = 32
4 × 16² = 1024
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:

3 + 32 + 1024 + 32768 = 33827

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.

33827 ÷ 2 = 16913 with 1 remainder
16913 ÷ 2 = 8456 with 1 remainder
8456 ÷ 2 = 4228 with 0 remainder
4228 ÷ 2 = 2114 with 0 remainder
2114 ÷ 2 = 1057 with 0 remainder
1057 ÷ 2 = 528 with 1 remainder
528 ÷ 2 = 264 with 0 remainder
264 ÷ 2 = 132 with 0 remainder
132 ÷ 2 = 66 with 0 remainder
66 ÷ 2 = 33 with 0 remainder
33 ÷ 2 = 16 with 1 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 8423 hexadecimal to binary:

8423 hexadecimal = 1000010000100011 binary

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8424 hexadecimal to binary
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