42D8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 42D8 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 42D8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 42D8 by 16⁰, multiply the second to last digit in 42D8 by 16¹, multiply the third to last digit in 42D8 by 16², multiply the fourth to last digit in 42D8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
D × 16¹ = 208
2 × 16² = 512
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:

8 + 208 + 512 + 16384 = 17112

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.

17112 ÷ 2 = 8556 with 0 remainder
8556 ÷ 2 = 4278 with 0 remainder
4278 ÷ 2 = 2139 with 0 remainder
2139 ÷ 2 = 1069 with 1 remainder
1069 ÷ 2 = 534 with 1 remainder
534 ÷ 2 = 267 with 0 remainder
267 ÷ 2 = 133 with 1 remainder
133 ÷ 2 = 66 with 1 remainder
66 ÷ 2 = 33 with 0 remainder
33 ÷ 2 = 16 with 1 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 42D8 hexadecimal to binary:

42D8 hexadecimal = 100001011011000 binary

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42D9 hexadecimal to binary
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