84A0 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 84A0 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 84A0 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 84A0 by 16⁰, multiply the second to last digit in 84A0 by 16¹, multiply the third to last digit in 84A0 by 16², multiply the fourth to last digit in 84A0 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
A × 16¹ = 160
4 × 16² = 1024
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 + 160 + 1024 + 32768 = 33952

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.

33952 ÷ 2 = 16976 with 0 remainder
16976 ÷ 2 = 8488 with 0 remainder
8488 ÷ 2 = 4244 with 0 remainder
4244 ÷ 2 = 2122 with 0 remainder
2122 ÷ 2 = 1061 with 0 remainder
1061 ÷ 2 = 530 with 1 remainder
530 ÷ 2 = 265 with 0 remainder
265 ÷ 2 = 132 with 1 remainder
132 ÷ 2 = 66 with 0 remainder
66 ÷ 2 = 33 with 0 remainder
33 ÷ 2 = 16 with 1 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 84A0 hexadecimal to binary:

84A0 hexadecimal = 1000010010100000 binary

Hexadecimal to Binary Converter
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84A1 hexadecimal to binary
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