A904 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A904 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 A904 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A904 by 16⁰, multiply the second to last digit in A904 by 16¹, multiply the third to last digit in A904 by 16², multiply the fourth to last digit in A904 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
0 × 16¹ = 0
9 × 16² = 2304
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 + 0 + 2304 + 40960 = 43268

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.

43268 ÷ 2 = 21634 with 0 remainder
21634 ÷ 2 = 10817 with 0 remainder
10817 ÷ 2 = 5408 with 1 remainder
5408 ÷ 2 = 2704 with 0 remainder
2704 ÷ 2 = 1352 with 0 remainder
1352 ÷ 2 = 676 with 0 remainder
676 ÷ 2 = 338 with 0 remainder
338 ÷ 2 = 169 with 0 remainder
169 ÷ 2 = 84 with 1 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 A904 hexadecimal to binary:

A904 hexadecimal = 1010100100000100 binary

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A905 hexadecimal to binary
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