8A44 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8A44 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 8A44 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8A44 by 16⁰, multiply the second to last digit in 8A44 by 16¹, multiply the third to last digit in 8A44 by 16², multiply the fourth to last digit in 8A44 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
4 × 16¹ = 64
A × 16² = 2560
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:

4 + 64 + 2560 + 32768 = 35396

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.

35396 ÷ 2 = 17698 with 0 remainder
17698 ÷ 2 = 8849 with 0 remainder
8849 ÷ 2 = 4424 with 1 remainder
4424 ÷ 2 = 2212 with 0 remainder
2212 ÷ 2 = 1106 with 0 remainder
1106 ÷ 2 = 553 with 0 remainder
553 ÷ 2 = 276 with 1 remainder
276 ÷ 2 = 138 with 0 remainder
138 ÷ 2 = 69 with 0 remainder
69 ÷ 2 = 34 with 1 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 8A44 hexadecimal to binary:

8A44 hexadecimal = 1000101001000100 binary

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8A45 hexadecimal to binary
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