665F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 665F 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 665F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 665F by 16⁰, multiply the second to last digit in 665F by 16¹, multiply the third to last digit in 665F by 16², multiply the fourth to last digit in 665F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
5 × 16¹ = 80
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:

15 + 80 + 1536 + 24576 = 26207

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.

26207 ÷ 2 = 13103 with 1 remainder
13103 ÷ 2 = 6551 with 1 remainder
6551 ÷ 2 = 3275 with 1 remainder
3275 ÷ 2 = 1637 with 1 remainder
1637 ÷ 2 = 818 with 1 remainder
818 ÷ 2 = 409 with 0 remainder
409 ÷ 2 = 204 with 1 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 665F hexadecimal to binary:

665F hexadecimal = 110011001011111 binary

Hexadecimal to Binary Converter
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