B0DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number B0DF 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 B0DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B0DF by 16⁰, multiply the second to last digit in B0DF by 16¹, multiply the third to last digit in B0DF by 16², multiply the fourth to last digit in B0DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
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:

15 + 208 + 0 + 45056 = 45279

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.

45279 ÷ 2 = 22639 with 1 remainder
22639 ÷ 2 = 11319 with 1 remainder
11319 ÷ 2 = 5659 with 1 remainder
5659 ÷ 2 = 2829 with 1 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 B0DF hexadecimal to binary:

B0DF hexadecimal = 1011000011011111 binary

Hexadecimal to Binary Converter
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