
Here we will show you how to convert the hexadecimal number C60D 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 C60D from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in C60D by 16⁰, multiply the second to last digit in C60D by 16¹, multiply the third to last digit in C60D by 16², multiply the fourth to last digit in C60D by 16³, and so on, until all the digits are used.
D × 16⁰ = 13
0 × 16¹ = 0
6 × 16² = 1536
C × 16³ = 49152
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 + 0 + 1536 + 49152 = 50701
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.
50701 ÷ 2 = 25350 with 1 remainder
25350 ÷ 2 = 12675 with 0 remainder
12675 ÷ 2 = 6337 with 1 remainder
6337 ÷ 2 = 3168 with 1 remainder
3168 ÷ 2 = 1584 with 0 remainder
1584 ÷ 2 = 792 with 0 remainder
792 ÷ 2 = 396 with 0 remainder
396 ÷ 2 = 198 with 0 remainder
198 ÷ 2 = 99 with 0 remainder
99 ÷ 2 = 49 with 1 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 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 C60D hexadecimal to binary:
C60D hexadecimal = 1100011000001101 binary
Hexadecimal to Binary Converter
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C60E hexadecimal to binary
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