B506 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B506 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 B506 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B506 by 16⁰, multiply the second to last digit in B506 by 16¹, multiply the third to last digit in B506 by 16², multiply the fourth to last digit in B506 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
0 × 16¹ = 0
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:

6 + 0 + 1280 + 45056 = 46342

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.

46342 ÷ 2 = 23171 with 0 remainder
23171 ÷ 2 = 11585 with 1 remainder
11585 ÷ 2 = 5792 with 1 remainder
5792 ÷ 2 = 2896 with 0 remainder
2896 ÷ 2 = 1448 with 0 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 B506 hexadecimal to binary:

B506 hexadecimal = 1011010100000110 binary

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B507 hexadecimal to binary
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