AA67 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AA67 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 AA67 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AA67 by 16⁰, multiply the second to last digit in AA67 by 16¹, multiply the third to last digit in AA67 by 16², multiply the fourth to last digit in AA67 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
6 × 16¹ = 96
A × 16² = 2560
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:

7 + 96 + 2560 + 40960 = 43623

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.

43623 ÷ 2 = 21811 with 1 remainder
21811 ÷ 2 = 10905 with 1 remainder
10905 ÷ 2 = 5452 with 1 remainder
5452 ÷ 2 = 2726 with 0 remainder
2726 ÷ 2 = 1363 with 0 remainder
1363 ÷ 2 = 681 with 1 remainder
681 ÷ 2 = 340 with 1 remainder
340 ÷ 2 = 170 with 0 remainder
170 ÷ 2 = 85 with 0 remainder
85 ÷ 2 = 42 with 1 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 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 AA67 hexadecimal to binary:

AA67 hexadecimal = 1010101001100111 binary

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AA68 hexadecimal to binary
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