B688 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B688 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 B688 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B688 by 16⁰, multiply the second to last digit in B688 by 16¹, multiply the third to last digit in B688 by 16², multiply the fourth to last digit in B688 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
8 × 16¹ = 128
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:

8 + 128 + 1536 + 45056 = 46728

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.

46728 ÷ 2 = 23364 with 0 remainder
23364 ÷ 2 = 11682 with 0 remainder
11682 ÷ 2 = 5841 with 0 remainder
5841 ÷ 2 = 2920 with 1 remainder
2920 ÷ 2 = 1460 with 0 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 B688 hexadecimal to binary:

B688 hexadecimal = 1011011010001000 binary

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B689 hexadecimal to binary
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