
Here we will show you how to convert the hexadecimal number 8060 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 8060 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 8060 by 16⁰, multiply the second to last digit in 8060 by 16¹, multiply the third to last digit in 8060 by 16², multiply the fourth to last digit in 8060 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
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:
0 + 96 + 0 + 32768 = 32864
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.
32864 ÷ 2 = 16432 with 0 remainder
16432 ÷ 2 = 8216 with 0 remainder
8216 ÷ 2 = 4108 with 0 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 8060 hexadecimal to binary:
8060 hexadecimal = 1000000001100000 binary
Hexadecimal to Binary Converter
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8061 hexadecimal to binary
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