6C21 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 6C21 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 6C21 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 6C21 by 16⁰, multiply the second to last digit in 6C21 by 16¹, multiply the third to last digit in 6C21 by 16², multiply the fourth to last digit in 6C21 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
2 × 16¹ = 32
C × 16² = 3072
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:

1 + 32 + 3072 + 24576 = 27681

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.

27681 ÷ 2 = 13840 with 1 remainder
13840 ÷ 2 = 6920 with 0 remainder
6920 ÷ 2 = 3460 with 0 remainder
3460 ÷ 2 = 1730 with 0 remainder
1730 ÷ 2 = 865 with 0 remainder
865 ÷ 2 = 432 with 1 remainder
432 ÷ 2 = 216 with 0 remainder
216 ÷ 2 = 108 with 0 remainder
108 ÷ 2 = 54 with 0 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 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 6C21 hexadecimal to binary:

6C21 hexadecimal = 110110000100001 binary

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6C22 hexadecimal to binary
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