4CBC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4CBC 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 4CBC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4CBC by 16⁰, multiply the second to last digit in 4CBC by 16¹, multiply the third to last digit in 4CBC by 16², multiply the fourth to last digit in 4CBC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
B × 16¹ = 176
C × 16² = 3072
4 × 16³ = 16384

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:

12 + 176 + 3072 + 16384 = 19644

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.

19644 ÷ 2 = 9822 with 0 remainder
9822 ÷ 2 = 4911 with 0 remainder
4911 ÷ 2 = 2455 with 1 remainder
2455 ÷ 2 = 1227 with 1 remainder
1227 ÷ 2 = 613 with 1 remainder
613 ÷ 2 = 306 with 1 remainder
306 ÷ 2 = 153 with 0 remainder
153 ÷ 2 = 76 with 1 remainder
76 ÷ 2 = 38 with 0 remainder
38 ÷ 2 = 19 with 0 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 4CBC hexadecimal to binary:

4CBC hexadecimal = 100110010111100 binary

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4CBD hexadecimal to binary
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