D978 hexadecimal to binary

Here we will show you how to convert the hexadecimal number D978 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 D978 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D978 by 16⁰, multiply the second to last digit in D978 by 16¹, multiply the third to last digit in D978 by 16², multiply the fourth to last digit in D978 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
7 × 16¹ = 112
9 × 16² = 2304
D × 16³ = 53248

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:

8 + 112 + 2304 + 53248 = 55672

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.

55672 ÷ 2 = 27836 with 0 remainder
27836 ÷ 2 = 13918 with 0 remainder
13918 ÷ 2 = 6959 with 0 remainder
6959 ÷ 2 = 3479 with 1 remainder
3479 ÷ 2 = 1739 with 1 remainder
1739 ÷ 2 = 869 with 1 remainder
869 ÷ 2 = 434 with 1 remainder
434 ÷ 2 = 217 with 0 remainder
217 ÷ 2 = 108 with 1 remainder
108 ÷ 2 = 54 with 0 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 D978 hexadecimal to binary:

D978 hexadecimal = 1101100101111000 binary

Hexadecimal to Binary Converter
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D979 hexadecimal to binary
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