4A12 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4A12 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 4A12 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4A12 by 16⁰, multiply the second to last digit in 4A12 by 16¹, multiply the third to last digit in 4A12 by 16², multiply the fourth to last digit in 4A12 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
1 × 16¹ = 16
A × 16² = 2560
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:

2 + 16 + 2560 + 16384 = 18962

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.

18962 ÷ 2 = 9481 with 0 remainder
9481 ÷ 2 = 4740 with 1 remainder
4740 ÷ 2 = 2370 with 0 remainder
2370 ÷ 2 = 1185 with 0 remainder
1185 ÷ 2 = 592 with 1 remainder
592 ÷ 2 = 296 with 0 remainder
296 ÷ 2 = 148 with 0 remainder
148 ÷ 2 = 74 with 0 remainder
74 ÷ 2 = 37 with 0 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 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 4A12 hexadecimal to binary:

4A12 hexadecimal = 100101000010010 binary

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4A13 hexadecimal to binary
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