D24A hexadecimal to binary

Here we will show you how to convert the hexadecimal number D24A 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 D24A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D24A by 16⁰, multiply the second to last digit in D24A by 16¹, multiply the third to last digit in D24A by 16², multiply the fourth to last digit in D24A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
4 × 16¹ = 64
2 × 16² = 512
D × 16³ = 53248

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 + 64 + 512 + 53248 = 53834

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.

53834 ÷ 2 = 26917 with 0 remainder
26917 ÷ 2 = 13458 with 1 remainder
13458 ÷ 2 = 6729 with 0 remainder
6729 ÷ 2 = 3364 with 1 remainder
3364 ÷ 2 = 1682 with 0 remainder
1682 ÷ 2 = 841 with 0 remainder
841 ÷ 2 = 420 with 1 remainder
420 ÷ 2 = 210 with 0 remainder
210 ÷ 2 = 105 with 0 remainder
105 ÷ 2 = 52 with 1 remainder
52 ÷ 2 = 26 with 0 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 D24A hexadecimal to binary:

D24A hexadecimal = 1101001001001010 binary

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D24B hexadecimal to binary
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