14C9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 14C9 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 14C9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 14C9 by 16⁰, multiply the second to last digit in 14C9 by 16¹, multiply the third to last digit in 14C9 by 16², multiply the fourth to last digit in 14C9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
C × 16¹ = 192
4 × 16² = 1024
1 × 16³ = 4096

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:

9 + 192 + 1024 + 4096 = 5321

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.

5321 ÷ 2 = 2660 with 1 remainder
2660 ÷ 2 = 1330 with 0 remainder
1330 ÷ 2 = 665 with 0 remainder
665 ÷ 2 = 332 with 1 remainder
332 ÷ 2 = 166 with 0 remainder
166 ÷ 2 = 83 with 0 remainder
83 ÷ 2 = 41 with 1 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 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 14C9 hexadecimal to binary:

14C9 hexadecimal = 1010011001001 binary

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14CA hexadecimal to binary
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