D18A hexadecimal to binary

Here we will show you how to convert the hexadecimal number D18A 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 D18A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D18A by 16⁰, multiply the second to last digit in D18A by 16¹, multiply the third to last digit in D18A by 16², multiply the fourth to last digit in D18A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
8 × 16¹ = 128
1 × 16² = 256
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 + 128 + 256 + 53248 = 53642

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.

53642 ÷ 2 = 26821 with 0 remainder
26821 ÷ 2 = 13410 with 1 remainder
13410 ÷ 2 = 6705 with 0 remainder
6705 ÷ 2 = 3352 with 1 remainder
3352 ÷ 2 = 1676 with 0 remainder
1676 ÷ 2 = 838 with 0 remainder
838 ÷ 2 = 419 with 0 remainder
419 ÷ 2 = 209 with 1 remainder
209 ÷ 2 = 104 with 1 remainder
104 ÷ 2 = 52 with 0 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 D18A hexadecimal to binary:

D18A hexadecimal = 1101000110001010 binary

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D18B hexadecimal to binary
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