B512 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B512 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 B512 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B512 by 16⁰, multiply the second to last digit in B512 by 16¹, multiply the third to last digit in B512 by 16², multiply the fourth to last digit in B512 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
1 × 16¹ = 16
5 × 16² = 1280
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:

2 + 16 + 1280 + 45056 = 46354

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.

46354 ÷ 2 = 23177 with 0 remainder
23177 ÷ 2 = 11588 with 1 remainder
11588 ÷ 2 = 5794 with 0 remainder
5794 ÷ 2 = 2897 with 0 remainder
2897 ÷ 2 = 1448 with 1 remainder
1448 ÷ 2 = 724 with 0 remainder
724 ÷ 2 = 362 with 0 remainder
362 ÷ 2 = 181 with 0 remainder
181 ÷ 2 = 90 with 1 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 B512 hexadecimal to binary:

B512 hexadecimal = 1011010100010010 binary

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B513 hexadecimal to binary
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