66C5 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 66C5 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 66C5 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 66C5 by 16⁰, multiply the second to last digit in 66C5 by 16¹, multiply the third to last digit in 66C5 by 16², multiply the fourth to last digit in 66C5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
C × 16¹ = 192
6 × 16² = 1536
6 × 16³ = 24576

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:

5 + 192 + 1536 + 24576 = 26309

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.

26309 ÷ 2 = 13154 with 1 remainder
13154 ÷ 2 = 6577 with 0 remainder
6577 ÷ 2 = 3288 with 1 remainder
3288 ÷ 2 = 1644 with 0 remainder
1644 ÷ 2 = 822 with 0 remainder
822 ÷ 2 = 411 with 0 remainder
411 ÷ 2 = 205 with 1 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 66C5 hexadecimal to binary:

66C5 hexadecimal = 110011011000101 binary

Hexadecimal to Binary Converter
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