2CD2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2CD2 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 2CD2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2CD2 by 16⁰, multiply the second to last digit in 2CD2 by 16¹, multiply the third to last digit in 2CD2 by 16², multiply the fourth to last digit in 2CD2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
D × 16¹ = 208
C × 16² = 3072
2 × 16³ = 8192

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:

2 + 208 + 3072 + 8192 = 11474

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.

11474 ÷ 2 = 5737 with 0 remainder
5737 ÷ 2 = 2868 with 1 remainder
2868 ÷ 2 = 1434 with 0 remainder
1434 ÷ 2 = 717 with 0 remainder
717 ÷ 2 = 358 with 1 remainder
358 ÷ 2 = 179 with 0 remainder
179 ÷ 2 = 89 with 1 remainder
89 ÷ 2 = 44 with 1 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 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 2CD2 hexadecimal to binary:

2CD2 hexadecimal = 10110011010010 binary

Hexadecimal to Binary Converter
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