1A8A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1A8A 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 1A8A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1A8A by 16⁰, multiply the second to last digit in 1A8A by 16¹, multiply the third to last digit in 1A8A by 16², multiply the fourth to last digit in 1A8A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
8 × 16¹ = 128
A × 16² = 2560
1 × 16³ = 4096

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:

10 + 128 + 2560 + 4096 = 6794

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.

6794 ÷ 2 = 3397 with 0 remainder
3397 ÷ 2 = 1698 with 1 remainder
1698 ÷ 2 = 849 with 0 remainder
849 ÷ 2 = 424 with 1 remainder
424 ÷ 2 = 212 with 0 remainder
212 ÷ 2 = 106 with 0 remainder
106 ÷ 2 = 53 with 0 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 1A8A hexadecimal to binary:

1A8A hexadecimal = 1101010001010 binary

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1A8B hexadecimal to binary
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