8921 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8921 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 8921 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8921 by 16⁰, multiply the second to last digit in 8921 by 16¹, multiply the third to last digit in 8921 by 16², multiply the fourth to last digit in 8921 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
2 × 16¹ = 32
9 × 16² = 2304
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:

1 + 32 + 2304 + 32768 = 35105

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.

35105 ÷ 2 = 17552 with 1 remainder
17552 ÷ 2 = 8776 with 0 remainder
8776 ÷ 2 = 4388 with 0 remainder
4388 ÷ 2 = 2194 with 0 remainder
2194 ÷ 2 = 1097 with 0 remainder
1097 ÷ 2 = 548 with 1 remainder
548 ÷ 2 = 274 with 0 remainder
274 ÷ 2 = 137 with 0 remainder
137 ÷ 2 = 68 with 1 remainder
68 ÷ 2 = 34 with 0 remainder
34 ÷ 2 = 17 with 0 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 8921 hexadecimal to binary:

8921 hexadecimal = 1000100100100001 binary

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8922 hexadecimal to binary
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