83C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 83C 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 83C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 83C by 16⁰, multiply the second to last digit in 83C by 16¹, multiply the third to last digit in 83C by 16², multiply the fourth to last digit in 83C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
3 × 16¹ = 48
8 × 16² = 2048

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 + 2048 = 2108

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.

2108 ÷ 2 = 1054 with 0 remainder
1054 ÷ 2 = 527 with 0 remainder
527 ÷ 2 = 263 with 1 remainder
263 ÷ 2 = 131 with 1 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 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 83C hexadecimal to binary:

83C hexadecimal = 100000111100 binary

Hexadecimal to Binary Converter
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