
Here we will show you how to convert the hexadecimal number 392D 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 392D from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 392D by 16⁰, multiply the second to last digit in 392D by 16¹, multiply the third to last digit in 392D by 16², multiply the fourth to last digit in 392D by 16³, and so on, until all the digits are used.
D × 16⁰ = 13
2 × 16¹ = 32
9 × 16² = 2304
3 × 16³ = 12288
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:
13 + 32 + 2304 + 12288 = 14637
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.
14637 ÷ 2 = 7318 with 1 remainder
7318 ÷ 2 = 3659 with 0 remainder
3659 ÷ 2 = 1829 with 1 remainder
1829 ÷ 2 = 914 with 1 remainder
914 ÷ 2 = 457 with 0 remainder
457 ÷ 2 = 228 with 1 remainder
228 ÷ 2 = 114 with 0 remainder
114 ÷ 2 = 57 with 0 remainder
57 ÷ 2 = 28 with 1 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 392D hexadecimal to binary:
392D hexadecimal = 11100100101101 binary
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392E hexadecimal to binary
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