8A4A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8A4A 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 8A4A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8A4A by 16⁰, multiply the second to last digit in 8A4A by 16¹, multiply the third to last digit in 8A4A by 16², multiply the fourth to last digit in 8A4A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
4 × 16¹ = 64
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:

10 + 64 + 2560 + 32768 = 35402

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.

35402 ÷ 2 = 17701 with 0 remainder
17701 ÷ 2 = 8850 with 1 remainder
8850 ÷ 2 = 4425 with 0 remainder
4425 ÷ 2 = 2212 with 1 remainder
2212 ÷ 2 = 1106 with 0 remainder
1106 ÷ 2 = 553 with 0 remainder
553 ÷ 2 = 276 with 1 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 8A4A hexadecimal to binary:

8A4A hexadecimal = 1000101001001010 binary

Hexadecimal to Binary Converter
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8A4B hexadecimal to binary
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