B481 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B481 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 B481 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B481 by 16⁰, multiply the second to last digit in B481 by 16¹, multiply the third to last digit in B481 by 16², multiply the fourth to last digit in B481 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
8 × 16¹ = 128
4 × 16² = 1024
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:

1 + 128 + 1024 + 45056 = 46209

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.

46209 ÷ 2 = 23104 with 1 remainder
23104 ÷ 2 = 11552 with 0 remainder
11552 ÷ 2 = 5776 with 0 remainder
5776 ÷ 2 = 2888 with 0 remainder
2888 ÷ 2 = 1444 with 0 remainder
1444 ÷ 2 = 722 with 0 remainder
722 ÷ 2 = 361 with 0 remainder
361 ÷ 2 = 180 with 1 remainder
180 ÷ 2 = 90 with 0 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 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 B481 hexadecimal to binary:

B481 hexadecimal = 1011010010000001 binary

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B482 hexadecimal to binary
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