CAB3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number CAB3 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 CAB3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CAB3 by 16⁰, multiply the second to last digit in CAB3 by 16¹, multiply the third to last digit in CAB3 by 16², multiply the fourth to last digit in CAB3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
B × 16¹ = 176
A × 16² = 2560
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:

3 + 176 + 2560 + 49152 = 51891

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.

51891 ÷ 2 = 25945 with 1 remainder
25945 ÷ 2 = 12972 with 1 remainder
12972 ÷ 2 = 6486 with 0 remainder
6486 ÷ 2 = 3243 with 0 remainder
3243 ÷ 2 = 1621 with 1 remainder
1621 ÷ 2 = 810 with 1 remainder
810 ÷ 2 = 405 with 0 remainder
405 ÷ 2 = 202 with 1 remainder
202 ÷ 2 = 101 with 0 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 CAB3 hexadecimal to binary:

CAB3 hexadecimal = 1100101010110011 binary

Hexadecimal to Binary Converter
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