893C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 893C 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 893C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 893C by 16⁰, multiply the second to last digit in 893C by 16¹, multiply the third to last digit in 893C by 16², multiply the fourth to last digit in 893C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
3 × 16¹ = 48
9 × 16² = 2304
8 × 16³ = 32768

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 + 48 + 2304 + 32768 = 35132

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.

35132 ÷ 2 = 17566 with 0 remainder
17566 ÷ 2 = 8783 with 0 remainder
8783 ÷ 2 = 4391 with 1 remainder
4391 ÷ 2 = 2195 with 1 remainder
2195 ÷ 2 = 1097 with 1 remainder
1097 ÷ 2 = 548 with 1 remainder
548 ÷ 2 = 274 with 0 remainder
274 ÷ 2 = 137 with 0 remainder
137 ÷ 2 = 68 with 1 remainder
68 ÷ 2 = 34 with 0 remainder
34 ÷ 2 = 17 with 0 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 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 893C hexadecimal to binary:

893C hexadecimal = 1000100100111100 binary

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