9020 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9020 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 9020 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9020 by 16⁰, multiply the second to last digit in 9020 by 16¹, multiply the third to last digit in 9020 by 16², multiply the fourth to last digit in 9020 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
2 × 16¹ = 32
0 × 16² = 0
9 × 16³ = 36864

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:

0 + 32 + 0 + 36864 = 36896

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.

36896 ÷ 2 = 18448 with 0 remainder
18448 ÷ 2 = 9224 with 0 remainder
9224 ÷ 2 = 4612 with 0 remainder
4612 ÷ 2 = 2306 with 0 remainder
2306 ÷ 2 = 1153 with 0 remainder
1153 ÷ 2 = 576 with 1 remainder
576 ÷ 2 = 288 with 0 remainder
288 ÷ 2 = 144 with 0 remainder
144 ÷ 2 = 72 with 0 remainder
72 ÷ 2 = 36 with 0 remainder
36 ÷ 2 = 18 with 0 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 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 9020 hexadecimal to binary:

9020 hexadecimal = 1001000000100000 binary

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9021 hexadecimal to binary
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