FB01 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FB01 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 FB01 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FB01 by 16⁰, multiply the second to last digit in FB01 by 16¹, multiply the third to last digit in FB01 by 16², multiply the fourth to last digit in FB01 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
0 × 16¹ = 0
B × 16² = 2816
F × 16³ = 61440

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:

1 + 0 + 2816 + 61440 = 64257

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.

64257 ÷ 2 = 32128 with 1 remainder
32128 ÷ 2 = 16064 with 0 remainder
16064 ÷ 2 = 8032 with 0 remainder
8032 ÷ 2 = 4016 with 0 remainder
4016 ÷ 2 = 2008 with 0 remainder
2008 ÷ 2 = 1004 with 0 remainder
1004 ÷ 2 = 502 with 0 remainder
502 ÷ 2 = 251 with 0 remainder
251 ÷ 2 = 125 with 1 remainder
125 ÷ 2 = 62 with 1 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 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 FB01 hexadecimal to binary:

FB01 hexadecimal = 1111101100000001 binary

Hexadecimal to Binary Converter
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FB02 hexadecimal to binary
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