
Here we will show you how to convert the hexadecimal number CC33 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 CC33 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in CC33 by 16⁰, multiply the second to last digit in CC33 by 16¹, multiply the third to last digit in CC33 by 16², multiply the fourth to last digit in CC33 by 16³, and so on, until all the digits are used.
3 × 16⁰ = 3
3 × 16¹ = 48
C × 16² = 3072
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:
3 + 48 + 3072 + 49152 = 52275
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.
52275 ÷ 2 = 26137 with 1 remainder
26137 ÷ 2 = 13068 with 1 remainder
13068 ÷ 2 = 6534 with 0 remainder
6534 ÷ 2 = 3267 with 0 remainder
3267 ÷ 2 = 1633 with 1 remainder
1633 ÷ 2 = 816 with 1 remainder
816 ÷ 2 = 408 with 0 remainder
408 ÷ 2 = 204 with 0 remainder
204 ÷ 2 = 102 with 0 remainder
102 ÷ 2 = 51 with 0 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 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 CC33 hexadecimal to binary:
CC33 hexadecimal = 1100110000110011 binary
Hexadecimal to Binary Converter
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CC34 hexadecimal to binary
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