A040 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A040 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 A040 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A040 by 16⁰, multiply the second to last digit in A040 by 16¹, multiply the third to last digit in A040 by 16², multiply the fourth to last digit in A040 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
4 × 16¹ = 64
0 × 16² = 0
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:

0 + 64 + 0 + 40960 = 41024

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.

41024 ÷ 2 = 20512 with 0 remainder
20512 ÷ 2 = 10256 with 0 remainder
10256 ÷ 2 = 5128 with 0 remainder
5128 ÷ 2 = 2564 with 0 remainder
2564 ÷ 2 = 1282 with 0 remainder
1282 ÷ 2 = 641 with 0 remainder
641 ÷ 2 = 320 with 1 remainder
320 ÷ 2 = 160 with 0 remainder
160 ÷ 2 = 80 with 0 remainder
80 ÷ 2 = 40 with 0 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 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 A040 hexadecimal to binary:

A040 hexadecimal = 1010000001000000 binary

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A041 hexadecimal to binary
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