A824 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A824 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 A824 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A824 by 16⁰, multiply the second to last digit in A824 by 16¹, multiply the third to last digit in A824 by 16², multiply the fourth to last digit in A824 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
2 × 16¹ = 32
8 × 16² = 2048
A × 16³ = 40960

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:

4 + 32 + 2048 + 40960 = 43044

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.

43044 ÷ 2 = 21522 with 0 remainder
21522 ÷ 2 = 10761 with 0 remainder
10761 ÷ 2 = 5380 with 1 remainder
5380 ÷ 2 = 2690 with 0 remainder
2690 ÷ 2 = 1345 with 0 remainder
1345 ÷ 2 = 672 with 1 remainder
672 ÷ 2 = 336 with 0 remainder
336 ÷ 2 = 168 with 0 remainder
168 ÷ 2 = 84 with 0 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 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 A824 hexadecimal to binary:

A824 hexadecimal = 1010100000100100 binary

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A825 hexadecimal to binary
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