B0D3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B0D3 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 B0D3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B0D3 by 16⁰, multiply the second to last digit in B0D3 by 16¹, multiply the third to last digit in B0D3 by 16², multiply the fourth to last digit in B0D3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
D × 16¹ = 208
0 × 16² = 0
B × 16³ = 45056

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 + 208 + 0 + 45056 = 45267

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.

45267 ÷ 2 = 22633 with 1 remainder
22633 ÷ 2 = 11316 with 1 remainder
11316 ÷ 2 = 5658 with 0 remainder
5658 ÷ 2 = 2829 with 0 remainder
2829 ÷ 2 = 1414 with 1 remainder
1414 ÷ 2 = 707 with 0 remainder
707 ÷ 2 = 353 with 1 remainder
353 ÷ 2 = 176 with 1 remainder
176 ÷ 2 = 88 with 0 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 B0D3 hexadecimal to binary:

B0D3 hexadecimal = 1011000011010011 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

B0D4 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.