84B2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 84B2 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 84B2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 84B2 by 16⁰, multiply the second to last digit in 84B2 by 16¹, multiply the third to last digit in 84B2 by 16², multiply the fourth to last digit in 84B2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
B × 16¹ = 176
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:

2 + 176 + 1024 + 32768 = 33970

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.

33970 ÷ 2 = 16985 with 0 remainder
16985 ÷ 2 = 8492 with 1 remainder
8492 ÷ 2 = 4246 with 0 remainder
4246 ÷ 2 = 2123 with 0 remainder
2123 ÷ 2 = 1061 with 1 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 84B2 hexadecimal to binary:

84B2 hexadecimal = 1000010010110010 binary

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84B3 hexadecimal to binary
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