B231 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B231 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 B231 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B231 by 16⁰, multiply the second to last digit in B231 by 16¹, multiply the third to last digit in B231 by 16², multiply the fourth to last digit in B231 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
3 × 16¹ = 48
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:

1 + 48 + 512 + 45056 = 45617

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.

45617 ÷ 2 = 22808 with 1 remainder
22808 ÷ 2 = 11404 with 0 remainder
11404 ÷ 2 = 5702 with 0 remainder
5702 ÷ 2 = 2851 with 0 remainder
2851 ÷ 2 = 1425 with 1 remainder
1425 ÷ 2 = 712 with 1 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 B231 hexadecimal to binary:

B231 hexadecimal = 1011001000110001 binary

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B232 hexadecimal to binary
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