FB41 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FB41 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 FB41 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FB41 by 16⁰, multiply the second to last digit in FB41 by 16¹, multiply the third to last digit in FB41 by 16², multiply the fourth to last digit in FB41 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
4 × 16¹ = 64
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 + 64 + 2816 + 61440 = 64321

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.

64321 ÷ 2 = 32160 with 1 remainder
32160 ÷ 2 = 16080 with 0 remainder
16080 ÷ 2 = 8040 with 0 remainder
8040 ÷ 2 = 4020 with 0 remainder
4020 ÷ 2 = 2010 with 0 remainder
2010 ÷ 2 = 1005 with 0 remainder
1005 ÷ 2 = 502 with 1 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 FB41 hexadecimal to binary:

FB41 hexadecimal = 1111101101000001 binary

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FB42 hexadecimal to binary
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