13CB hexadecimal to binary

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

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

B × 16⁰ = 11
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:

11 + 192 + 768 + 4096 = 5067

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.

5067 ÷ 2 = 2533 with 1 remainder
2533 ÷ 2 = 1266 with 1 remainder
1266 ÷ 2 = 633 with 0 remainder
633 ÷ 2 = 316 with 1 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 13CB hexadecimal to binary:

13CB hexadecimal = 1001111001011 binary

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13CC hexadecimal to binary
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