223C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 223C 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 223C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 223C by 16⁰, multiply the second to last digit in 223C by 16¹, multiply the third to last digit in 223C by 16², multiply the fourth to last digit in 223C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
3 × 16¹ = 48
2 × 16² = 512
2 × 16³ = 8192

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 + 512 + 8192 = 8764

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.

8764 ÷ 2 = 4382 with 0 remainder
4382 ÷ 2 = 2191 with 0 remainder
2191 ÷ 2 = 1095 with 1 remainder
1095 ÷ 2 = 547 with 1 remainder
547 ÷ 2 = 273 with 1 remainder
273 ÷ 2 = 136 with 1 remainder
136 ÷ 2 = 68 with 0 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 223C hexadecimal to binary:

223C hexadecimal = 10001000111100 binary

Hexadecimal to Binary Converter
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