8066 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8066 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 8066 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8066 by 16⁰, multiply the second to last digit in 8066 by 16¹, multiply the third to last digit in 8066 by 16², multiply the fourth to last digit in 8066 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
6 × 16¹ = 96
0 × 16² = 0
8 × 16³ = 32768

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:

6 + 96 + 0 + 32768 = 32870

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.

32870 ÷ 2 = 16435 with 0 remainder
16435 ÷ 2 = 8217 with 1 remainder
8217 ÷ 2 = 4108 with 1 remainder
4108 ÷ 2 = 2054 with 0 remainder
2054 ÷ 2 = 1027 with 0 remainder
1027 ÷ 2 = 513 with 1 remainder
513 ÷ 2 = 256 with 1 remainder
256 ÷ 2 = 128 with 0 remainder
128 ÷ 2 = 64 with 0 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 8066 hexadecimal to binary:

8066 hexadecimal = 1000000001100110 binary

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8067 hexadecimal to binary
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