CB2C hexadecimal to binary

Here we will show you how to convert the hexadecimal number CB2C 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 CB2C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CB2C by 16⁰, multiply the second to last digit in CB2C by 16¹, multiply the third to last digit in CB2C by 16², multiply the fourth to last digit in CB2C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
2 × 16¹ = 32
B × 16² = 2816
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:

12 + 32 + 2816 + 49152 = 52012

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.

52012 ÷ 2 = 26006 with 0 remainder
26006 ÷ 2 = 13003 with 0 remainder
13003 ÷ 2 = 6501 with 1 remainder
6501 ÷ 2 = 3250 with 1 remainder
3250 ÷ 2 = 1625 with 0 remainder
1625 ÷ 2 = 812 with 1 remainder
812 ÷ 2 = 406 with 0 remainder
406 ÷ 2 = 203 with 0 remainder
203 ÷ 2 = 101 with 1 remainder
101 ÷ 2 = 50 with 1 remainder
50 ÷ 2 = 25 with 0 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 CB2C hexadecimal to binary:

CB2C hexadecimal = 1100101100101100 binary

Hexadecimal to Binary Converter
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