414D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 414D 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 414D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 414D by 16⁰, multiply the second to last digit in 414D by 16¹, multiply the third to last digit in 414D by 16², multiply the fourth to last digit in 414D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
4 × 16¹ = 64
1 × 16² = 256
4 × 16³ = 16384

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:

13 + 64 + 256 + 16384 = 16717

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.

16717 ÷ 2 = 8358 with 1 remainder
8358 ÷ 2 = 4179 with 0 remainder
4179 ÷ 2 = 2089 with 1 remainder
2089 ÷ 2 = 1044 with 1 remainder
1044 ÷ 2 = 522 with 0 remainder
522 ÷ 2 = 261 with 0 remainder
261 ÷ 2 = 130 with 1 remainder
130 ÷ 2 = 65 with 0 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 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 414D hexadecimal to binary:

414D hexadecimal = 100000101001101 binary

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414E hexadecimal to binary
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