CF2B hexadecimal to binary

Here we will show you how to convert the hexadecimal number CF2B 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 CF2B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CF2B by 16⁰, multiply the second to last digit in CF2B by 16¹, multiply the third to last digit in CF2B by 16², multiply the fourth to last digit in CF2B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
2 × 16¹ = 32
F × 16² = 3840
C × 16³ = 49152

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:

11 + 32 + 3840 + 49152 = 53035

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.

53035 ÷ 2 = 26517 with 1 remainder
26517 ÷ 2 = 13258 with 1 remainder
13258 ÷ 2 = 6629 with 0 remainder
6629 ÷ 2 = 3314 with 1 remainder
3314 ÷ 2 = 1657 with 0 remainder
1657 ÷ 2 = 828 with 1 remainder
828 ÷ 2 = 414 with 0 remainder
414 ÷ 2 = 207 with 0 remainder
207 ÷ 2 = 103 with 1 remainder
103 ÷ 2 = 51 with 1 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 CF2B hexadecimal to binary:

CF2B hexadecimal = 1100111100101011 binary

Hexadecimal to Binary Converter
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