BCF6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BCF6 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 BCF6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BCF6 by 16⁰, multiply the second to last digit in BCF6 by 16¹, multiply the third to last digit in BCF6 by 16², multiply the fourth to last digit in BCF6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
F × 16¹ = 240
C × 16² = 3072
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 + 240 + 3072 + 45056 = 48374

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.

48374 ÷ 2 = 24187 with 0 remainder
24187 ÷ 2 = 12093 with 1 remainder
12093 ÷ 2 = 6046 with 1 remainder
6046 ÷ 2 = 3023 with 0 remainder
3023 ÷ 2 = 1511 with 1 remainder
1511 ÷ 2 = 755 with 1 remainder
755 ÷ 2 = 377 with 1 remainder
377 ÷ 2 = 188 with 1 remainder
188 ÷ 2 = 94 with 0 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 BCF6 hexadecimal to binary:

BCF6 hexadecimal = 1011110011110110 binary

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BCF7 hexadecimal to binary
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