
Here we will show you how to convert the hexadecimal number 44D2 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 44D2 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 44D2 by 16⁰, multiply the second to last digit in 44D2 by 16¹, multiply the third to last digit in 44D2 by 16², multiply the fourth to last digit in 44D2 by 16³, and so on, until all the digits are used.
2 × 16⁰ = 2
D × 16¹ = 208
4 × 16² = 1024
4 × 16³ = 16384
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:
2 + 208 + 1024 + 16384 = 17618
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.
17618 ÷ 2 = 8809 with 0 remainder
8809 ÷ 2 = 4404 with 1 remainder
4404 ÷ 2 = 2202 with 0 remainder
2202 ÷ 2 = 1101 with 0 remainder
1101 ÷ 2 = 550 with 1 remainder
550 ÷ 2 = 275 with 0 remainder
275 ÷ 2 = 137 with 1 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 44D2 hexadecimal to binary:
44D2 hexadecimal = 100010011010010 binary
Hexadecimal to Binary Converter
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44D3 hexadecimal to binary
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