8A2F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8A2F 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 8A2F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8A2F by 16⁰, multiply the second to last digit in 8A2F by 16¹, multiply the third to last digit in 8A2F by 16², multiply the fourth to last digit in 8A2F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
2 × 16¹ = 32
A × 16² = 2560
8 × 16³ = 32768

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:

15 + 32 + 2560 + 32768 = 35375

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.

35375 ÷ 2 = 17687 with 1 remainder
17687 ÷ 2 = 8843 with 1 remainder
8843 ÷ 2 = 4421 with 1 remainder
4421 ÷ 2 = 2210 with 1 remainder
2210 ÷ 2 = 1105 with 0 remainder
1105 ÷ 2 = 552 with 1 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 8A2F hexadecimal to binary:

8A2F hexadecimal = 1000101000101111 binary

Hexadecimal to Binary Converter
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