B0FD hexadecimal to binary

Here we will show you how to convert the hexadecimal number B0FD 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 B0FD from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B0FD by 16⁰, multiply the second to last digit in B0FD by 16¹, multiply the third to last digit in B0FD by 16², multiply the fourth to last digit in B0FD by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
F × 16¹ = 240
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:

13 + 240 + 0 + 45056 = 45309

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.

45309 ÷ 2 = 22654 with 1 remainder
22654 ÷ 2 = 11327 with 0 remainder
11327 ÷ 2 = 5663 with 1 remainder
5663 ÷ 2 = 2831 with 1 remainder
2831 ÷ 2 = 1415 with 1 remainder
1415 ÷ 2 = 707 with 1 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 B0FD hexadecimal to binary:

B0FD hexadecimal = 1011000011111101 binary

Hexadecimal to Binary Converter
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B0FE hexadecimal to binary
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