CB3D hexadecimal to binary

Here we will show you how to convert the hexadecimal number CB3D 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 CB3D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CB3D by 16⁰, multiply the second to last digit in CB3D by 16¹, multiply the third to last digit in CB3D by 16², multiply the fourth to last digit in CB3D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
3 × 16¹ = 48
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:

13 + 48 + 2816 + 49152 = 52029

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.

52029 ÷ 2 = 26014 with 1 remainder
26014 ÷ 2 = 13007 with 0 remainder
13007 ÷ 2 = 6503 with 1 remainder
6503 ÷ 2 = 3251 with 1 remainder
3251 ÷ 2 = 1625 with 1 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 CB3D hexadecimal to binary:

CB3D hexadecimal = 1100101100111101 binary

Hexadecimal to Binary Converter
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