3C2F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3C2F 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 3C2F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3C2F by 16⁰, multiply the second to last digit in 3C2F by 16¹, multiply the third to last digit in 3C2F by 16², multiply the fourth to last digit in 3C2F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
2 × 16¹ = 32
C × 16² = 3072
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:

15 + 32 + 3072 + 12288 = 15407

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.

15407 ÷ 2 = 7703 with 1 remainder
7703 ÷ 2 = 3851 with 1 remainder
3851 ÷ 2 = 1925 with 1 remainder
1925 ÷ 2 = 962 with 1 remainder
962 ÷ 2 = 481 with 0 remainder
481 ÷ 2 = 240 with 1 remainder
240 ÷ 2 = 120 with 0 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 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 3C2F hexadecimal to binary:

3C2F hexadecimal = 11110000101111 binary

Hexadecimal to Binary Converter
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