9073 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9073 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 9073 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9073 by 16⁰, multiply the second to last digit in 9073 by 16¹, multiply the third to last digit in 9073 by 16², multiply the fourth to last digit in 9073 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
7 × 16¹ = 112
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:

3 + 112 + 0 + 36864 = 36979

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.

36979 ÷ 2 = 18489 with 1 remainder
18489 ÷ 2 = 9244 with 1 remainder
9244 ÷ 2 = 4622 with 0 remainder
4622 ÷ 2 = 2311 with 0 remainder
2311 ÷ 2 = 1155 with 1 remainder
1155 ÷ 2 = 577 with 1 remainder
577 ÷ 2 = 288 with 1 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 9073 hexadecimal to binary:

9073 hexadecimal = 1001000001110011 binary

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9074 hexadecimal to binary
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