
Here we will show you how to convert the hexadecimal number CC7B 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 CC7B from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in CC7B by 16⁰, multiply the second to last digit in CC7B by 16¹, multiply the third to last digit in CC7B by 16², multiply the fourth to last digit in CC7B by 16³, and so on, until all the digits are used.
B × 16⁰ = 11
7 × 16¹ = 112
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:
11 + 112 + 3072 + 49152 = 52347
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.
52347 ÷ 2 = 26173 with 1 remainder
26173 ÷ 2 = 13086 with 1 remainder
13086 ÷ 2 = 6543 with 0 remainder
6543 ÷ 2 = 3271 with 1 remainder
3271 ÷ 2 = 1635 with 1 remainder
1635 ÷ 2 = 817 with 1 remainder
817 ÷ 2 = 408 with 1 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 CC7B hexadecimal to binary:
CC7B hexadecimal = 1100110001111011 binary
Hexadecimal to Binary Converter
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CC7C hexadecimal to binary
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