66F hexadecimal to binary

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

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

F × 16⁰ = 15
6 × 16¹ = 96
6 × 16² = 1536

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:

15 + 96 + 1536 = 1647

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.

1647 ÷ 2 = 823 with 1 remainder
823 ÷ 2 = 411 with 1 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 66F hexadecimal to binary:

66F hexadecimal = 11001101111 binary

Hexadecimal to Binary Converter
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