3B3D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3B3D 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 3B3D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3B3D by 16⁰, multiply the second to last digit in 3B3D by 16¹, multiply the third to last digit in 3B3D by 16², multiply the fourth to last digit in 3B3D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
3 × 16¹ = 48
B × 16² = 2816
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:

13 + 48 + 2816 + 12288 = 15165

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.

15165 ÷ 2 = 7582 with 1 remainder
7582 ÷ 2 = 3791 with 0 remainder
3791 ÷ 2 = 1895 with 1 remainder
1895 ÷ 2 = 947 with 1 remainder
947 ÷ 2 = 473 with 1 remainder
473 ÷ 2 = 236 with 1 remainder
236 ÷ 2 = 118 with 0 remainder
118 ÷ 2 = 59 with 0 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 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 3B3D hexadecimal to binary:

3B3D hexadecimal = 11101100111101 binary

Hexadecimal to Binary Converter
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