989C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 989C 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 989C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 989C by 16⁰, multiply the second to last digit in 989C by 16¹, multiply the third to last digit in 989C by 16², multiply the fourth to last digit in 989C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
9 × 16¹ = 144
8 × 16² = 2048
9 × 16³ = 36864

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 + 144 + 2048 + 36864 = 39068

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.

39068 ÷ 2 = 19534 with 0 remainder
19534 ÷ 2 = 9767 with 0 remainder
9767 ÷ 2 = 4883 with 1 remainder
4883 ÷ 2 = 2441 with 1 remainder
2441 ÷ 2 = 1220 with 1 remainder
1220 ÷ 2 = 610 with 0 remainder
610 ÷ 2 = 305 with 0 remainder
305 ÷ 2 = 152 with 1 remainder
152 ÷ 2 = 76 with 0 remainder
76 ÷ 2 = 38 with 0 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 989C hexadecimal to binary:

989C hexadecimal = 1001100010011100 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

989D hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.