393C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 393C 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 393C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 393C by 16⁰, multiply the second to last digit in 393C by 16¹, multiply the third to last digit in 393C by 16², multiply the fourth to last digit in 393C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
3 × 16¹ = 48
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:

12 + 48 + 2304 + 12288 = 14652

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.

14652 ÷ 2 = 7326 with 0 remainder
7326 ÷ 2 = 3663 with 0 remainder
3663 ÷ 2 = 1831 with 1 remainder
1831 ÷ 2 = 915 with 1 remainder
915 ÷ 2 = 457 with 1 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 393C hexadecimal to binary:

393C hexadecimal = 11100100111100 binary

Hexadecimal to Binary Converter
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