974C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 974C 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 974C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 974C by 16⁰, multiply the second to last digit in 974C by 16¹, multiply the third to last digit in 974C by 16², multiply the fourth to last digit in 974C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
4 × 16¹ = 64
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 + 64 + 1792 + 36864 = 38732

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.

38732 ÷ 2 = 19366 with 0 remainder
19366 ÷ 2 = 9683 with 0 remainder
9683 ÷ 2 = 4841 with 1 remainder
4841 ÷ 2 = 2420 with 1 remainder
2420 ÷ 2 = 1210 with 0 remainder
1210 ÷ 2 = 605 with 0 remainder
605 ÷ 2 = 302 with 1 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 974C hexadecimal to binary:

974C hexadecimal = 1001011101001100 binary

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