13C0 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 13C0 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 13C0 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 13C0 by 16⁰, multiply the second to last digit in 13C0 by 16¹, multiply the third to last digit in 13C0 by 16², multiply the fourth to last digit in 13C0 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
C × 16¹ = 192
3 × 16² = 768
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:

0 + 192 + 768 + 4096 = 5056

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.

5056 ÷ 2 = 2528 with 0 remainder
2528 ÷ 2 = 1264 with 0 remainder
1264 ÷ 2 = 632 with 0 remainder
632 ÷ 2 = 316 with 0 remainder
316 ÷ 2 = 158 with 0 remainder
158 ÷ 2 = 79 with 0 remainder
79 ÷ 2 = 39 with 1 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 13C0 hexadecimal to binary:

13C0 hexadecimal = 1001111000000 binary

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