
Here we will show you how to convert the hexadecimal number CD00 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 CD00 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in CD00 by 16⁰, multiply the second to last digit in CD00 by 16¹, multiply the third to last digit in CD00 by 16², multiply the fourth to last digit in CD00 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
0 × 16¹ = 0
D × 16² = 3328
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:
0 + 0 + 3328 + 49152 = 52480
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.
52480 ÷ 2 = 26240 with 0 remainder
26240 ÷ 2 = 13120 with 0 remainder
13120 ÷ 2 = 6560 with 0 remainder
6560 ÷ 2 = 3280 with 0 remainder
3280 ÷ 2 = 1640 with 0 remainder
1640 ÷ 2 = 820 with 0 remainder
820 ÷ 2 = 410 with 0 remainder
410 ÷ 2 = 205 with 0 remainder
205 ÷ 2 = 102 with 1 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 CD00 hexadecimal to binary:
CD00 hexadecimal = 1100110100000000 binary
Hexadecimal to Binary Converter
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CD01 hexadecimal to binary
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