972C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 972C 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 972C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 972C by 16⁰, multiply the second to last digit in 972C by 16¹, multiply the third to last digit in 972C by 16², multiply the fourth to last digit in 972C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
2 × 16¹ = 32
7 × 16² = 1792
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 + 32 + 1792 + 36864 = 38700

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.

38700 ÷ 2 = 19350 with 0 remainder
19350 ÷ 2 = 9675 with 0 remainder
9675 ÷ 2 = 4837 with 1 remainder
4837 ÷ 2 = 2418 with 1 remainder
2418 ÷ 2 = 1209 with 0 remainder
1209 ÷ 2 = 604 with 1 remainder
604 ÷ 2 = 302 with 0 remainder
302 ÷ 2 = 151 with 0 remainder
151 ÷ 2 = 75 with 1 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 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 972C hexadecimal to binary:

972C hexadecimal = 1001011100101100 binary

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