B111 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B111 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 B111 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B111 by 16⁰, multiply the second to last digit in B111 by 16¹, multiply the third to last digit in B111 by 16², multiply the fourth to last digit in B111 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
1 × 16¹ = 16
1 × 16² = 256
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 + 16 + 256 + 45056 = 45329

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.

45329 ÷ 2 = 22664 with 1 remainder
22664 ÷ 2 = 11332 with 0 remainder
11332 ÷ 2 = 5666 with 0 remainder
5666 ÷ 2 = 2833 with 0 remainder
2833 ÷ 2 = 1416 with 1 remainder
1416 ÷ 2 = 708 with 0 remainder
708 ÷ 2 = 354 with 0 remainder
354 ÷ 2 = 177 with 0 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 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 B111 hexadecimal to binary:

B111 hexadecimal = 1011000100010001 binary

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B112 hexadecimal to binary
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