B207 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B207 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 B207 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B207 by 16⁰, multiply the second to last digit in B207 by 16¹, multiply the third to last digit in B207 by 16², multiply the fourth to last digit in B207 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
0 × 16¹ = 0
2 × 16² = 512
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:

7 + 0 + 512 + 45056 = 45575

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.

45575 ÷ 2 = 22787 with 1 remainder
22787 ÷ 2 = 11393 with 1 remainder
11393 ÷ 2 = 5696 with 1 remainder
5696 ÷ 2 = 2848 with 0 remainder
2848 ÷ 2 = 1424 with 0 remainder
1424 ÷ 2 = 712 with 0 remainder
712 ÷ 2 = 356 with 0 remainder
356 ÷ 2 = 178 with 0 remainder
178 ÷ 2 = 89 with 0 remainder
89 ÷ 2 = 44 with 1 remainder
44 ÷ 2 = 22 with 0 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 B207 hexadecimal to binary:

B207 hexadecimal = 1011001000000111 binary

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B208 hexadecimal to binary
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