
Here we will show you how to convert the hexadecimal number FB11 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 FB11 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in FB11 by 16⁰, multiply the second to last digit in FB11 by 16¹, multiply the third to last digit in FB11 by 16², multiply the fourth to last digit in FB11 by 16³, and so on, until all the digits are used.
1 × 16⁰ = 1
1 × 16¹ = 16
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 + 16 + 2816 + 61440 = 64273
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.
64273 ÷ 2 = 32136 with 1 remainder
32136 ÷ 2 = 16068 with 0 remainder
16068 ÷ 2 = 8034 with 0 remainder
8034 ÷ 2 = 4017 with 0 remainder
4017 ÷ 2 = 2008 with 1 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 FB11 hexadecimal to binary:
FB11 hexadecimal = 1111101100010001 binary
Hexadecimal to Binary Converter
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FB12 hexadecimal to binary
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