A608 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A608 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 A608 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A608 by 16⁰, multiply the second to last digit in A608 by 16¹, multiply the third to last digit in A608 by 16², multiply the fourth to last digit in A608 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
0 × 16¹ = 0
6 × 16² = 1536
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:

8 + 0 + 1536 + 40960 = 42504

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.

42504 ÷ 2 = 21252 with 0 remainder
21252 ÷ 2 = 10626 with 0 remainder
10626 ÷ 2 = 5313 with 0 remainder
5313 ÷ 2 = 2656 with 1 remainder
2656 ÷ 2 = 1328 with 0 remainder
1328 ÷ 2 = 664 with 0 remainder
664 ÷ 2 = 332 with 0 remainder
332 ÷ 2 = 166 with 0 remainder
166 ÷ 2 = 83 with 0 remainder
83 ÷ 2 = 41 with 1 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 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 A608 hexadecimal to binary:

A608 hexadecimal = 1010011000001000 binary

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A609 hexadecimal to binary
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