8A1 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8A1 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 8A1 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8A1 by 16⁰, multiply the second to last digit in 8A1 by 16¹, multiply the third to last digit in 8A1 by 16², multiply the fourth to last digit in 8A1 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
A × 16¹ = 160
8 × 16² = 2048

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:

1 + 160 + 2048 = 2209

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.

2209 ÷ 2 = 1104 with 1 remainder
1104 ÷ 2 = 552 with 0 remainder
552 ÷ 2 = 276 with 0 remainder
276 ÷ 2 = 138 with 0 remainder
138 ÷ 2 = 69 with 0 remainder
69 ÷ 2 = 34 with 1 remainder
34 ÷ 2 = 17 with 0 remainder
17 ÷ 2 = 8 with 1 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 8A1 hexadecimal to binary:

8A1 hexadecimal = 100010100001 binary

Hexadecimal to Binary Converter
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8A2 hexadecimal to binary
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