4D9A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4D9A 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 4D9A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4D9A by 16⁰, multiply the second to last digit in 4D9A by 16¹, multiply the third to last digit in 4D9A by 16², multiply the fourth to last digit in 4D9A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
9 × 16¹ = 144
D × 16² = 3328
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:

10 + 144 + 3328 + 16384 = 19866

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.

19866 ÷ 2 = 9933 with 0 remainder
9933 ÷ 2 = 4966 with 1 remainder
4966 ÷ 2 = 2483 with 0 remainder
2483 ÷ 2 = 1241 with 1 remainder
1241 ÷ 2 = 620 with 1 remainder
620 ÷ 2 = 310 with 0 remainder
310 ÷ 2 = 155 with 0 remainder
155 ÷ 2 = 77 with 1 remainder
77 ÷ 2 = 38 with 1 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 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 4D9A hexadecimal to binary:

4D9A hexadecimal = 100110110011010 binary

Hexadecimal to Binary Converter
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4D9B hexadecimal to binary
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