566F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 566F 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 566F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 566F by 16⁰, multiply the second to last digit in 566F by 16¹, multiply the third to last digit in 566F by 16², multiply the fourth to last digit in 566F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
6 × 16¹ = 96
6 × 16² = 1536
5 × 16³ = 20480

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 + 20480 = 22127

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.

22127 ÷ 2 = 11063 with 1 remainder
11063 ÷ 2 = 5531 with 1 remainder
5531 ÷ 2 = 2765 with 1 remainder
2765 ÷ 2 = 1382 with 1 remainder
1382 ÷ 2 = 691 with 0 remainder
691 ÷ 2 = 345 with 1 remainder
345 ÷ 2 = 172 with 1 remainder
172 ÷ 2 = 86 with 0 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 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 566F hexadecimal to binary:

566F hexadecimal = 101011001101111 binary

Hexadecimal to Binary Converter
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