1D8C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1D8C 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 1D8C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1D8C by 16⁰, multiply the second to last digit in 1D8C by 16¹, multiply the third to last digit in 1D8C by 16², multiply the fourth to last digit in 1D8C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
8 × 16¹ = 128
D × 16² = 3328
1 × 16³ = 4096

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:

12 + 128 + 3328 + 4096 = 7564

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.

7564 ÷ 2 = 3782 with 0 remainder
3782 ÷ 2 = 1891 with 0 remainder
1891 ÷ 2 = 945 with 1 remainder
945 ÷ 2 = 472 with 1 remainder
472 ÷ 2 = 236 with 0 remainder
236 ÷ 2 = 118 with 0 remainder
118 ÷ 2 = 59 with 0 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 1D8C hexadecimal to binary:

1D8C hexadecimal = 1110110001100 binary

Hexadecimal to Binary Converter
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1D8D hexadecimal to binary
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