B441 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B441 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 B441 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B441 by 16⁰, multiply the second to last digit in B441 by 16¹, multiply the third to last digit in B441 by 16², multiply the fourth to last digit in B441 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
4 × 16¹ = 64
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 + 64 + 1024 + 45056 = 46145

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.

46145 ÷ 2 = 23072 with 1 remainder
23072 ÷ 2 = 11536 with 0 remainder
11536 ÷ 2 = 5768 with 0 remainder
5768 ÷ 2 = 2884 with 0 remainder
2884 ÷ 2 = 1442 with 0 remainder
1442 ÷ 2 = 721 with 0 remainder
721 ÷ 2 = 360 with 1 remainder
360 ÷ 2 = 180 with 0 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 B441 hexadecimal to binary:

B441 hexadecimal = 1011010001000001 binary

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B442 hexadecimal to binary
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