6BDD hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6BDD 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 6BDD from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6BDD by 16⁰, multiply the second to last digit in 6BDD by 16¹, multiply the third to last digit in 6BDD by 16², multiply the fourth to last digit in 6BDD by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
D × 16¹ = 208
B × 16² = 2816
6 × 16³ = 24576

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:

13 + 208 + 2816 + 24576 = 27613

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.

27613 ÷ 2 = 13806 with 1 remainder
13806 ÷ 2 = 6903 with 0 remainder
6903 ÷ 2 = 3451 with 1 remainder
3451 ÷ 2 = 1725 with 1 remainder
1725 ÷ 2 = 862 with 1 remainder
862 ÷ 2 = 431 with 0 remainder
431 ÷ 2 = 215 with 1 remainder
215 ÷ 2 = 107 with 1 remainder
107 ÷ 2 = 53 with 1 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 6BDD hexadecimal to binary:

6BDD hexadecimal = 110101111011101 binary

Hexadecimal to Binary Converter
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6BDE hexadecimal to binary
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