BDC6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BDC6 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 BDC6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BDC6 by 16⁰, multiply the second to last digit in BDC6 by 16¹, multiply the third to last digit in BDC6 by 16², multiply the fourth to last digit in BDC6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
C × 16¹ = 192
D × 16² = 3328
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:

6 + 192 + 3328 + 45056 = 48582

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.

48582 ÷ 2 = 24291 with 0 remainder
24291 ÷ 2 = 12145 with 1 remainder
12145 ÷ 2 = 6072 with 1 remainder
6072 ÷ 2 = 3036 with 0 remainder
3036 ÷ 2 = 1518 with 0 remainder
1518 ÷ 2 = 759 with 0 remainder
759 ÷ 2 = 379 with 1 remainder
379 ÷ 2 = 189 with 1 remainder
189 ÷ 2 = 94 with 1 remainder
94 ÷ 2 = 47 with 0 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 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 BDC6 hexadecimal to binary:

BDC6 hexadecimal = 1011110111000110 binary

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BDC7 hexadecimal to binary
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