B721 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B721 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 B721 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B721 by 16⁰, multiply the second to last digit in B721 by 16¹, multiply the third to last digit in B721 by 16², multiply the fourth to last digit in B721 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
2 × 16¹ = 32
7 × 16² = 1792
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 + 32 + 1792 + 45056 = 46881

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.

46881 ÷ 2 = 23440 with 1 remainder
23440 ÷ 2 = 11720 with 0 remainder
11720 ÷ 2 = 5860 with 0 remainder
5860 ÷ 2 = 2930 with 0 remainder
2930 ÷ 2 = 1465 with 0 remainder
1465 ÷ 2 = 732 with 1 remainder
732 ÷ 2 = 366 with 0 remainder
366 ÷ 2 = 183 with 0 remainder
183 ÷ 2 = 91 with 1 remainder
91 ÷ 2 = 45 with 1 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 B721 hexadecimal to binary:

B721 hexadecimal = 1011011100100001 binary

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B722 hexadecimal to binary
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