B691 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B691 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 B691 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B691 by 16⁰, multiply the second to last digit in B691 by 16¹, multiply the third to last digit in B691 by 16², multiply the fourth to last digit in B691 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
9 × 16¹ = 144
6 × 16² = 1536
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 + 144 + 1536 + 45056 = 46737

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.

46737 ÷ 2 = 23368 with 1 remainder
23368 ÷ 2 = 11684 with 0 remainder
11684 ÷ 2 = 5842 with 0 remainder
5842 ÷ 2 = 2921 with 0 remainder
2921 ÷ 2 = 1460 with 1 remainder
1460 ÷ 2 = 730 with 0 remainder
730 ÷ 2 = 365 with 0 remainder
365 ÷ 2 = 182 with 1 remainder
182 ÷ 2 = 91 with 0 remainder
91 ÷ 2 = 45 with 1 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 B691 hexadecimal to binary:

B691 hexadecimal = 1011011010010001 binary

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B692 hexadecimal to binary
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