78A8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 78A8 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 78A8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 78A8 by 16⁰, multiply the second to last digit in 78A8 by 16¹, multiply the third to last digit in 78A8 by 16², multiply the fourth to last digit in 78A8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
A × 16¹ = 160
8 × 16² = 2048
7 × 16³ = 28672

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 + 160 + 2048 + 28672 = 30888

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.

30888 ÷ 2 = 15444 with 0 remainder
15444 ÷ 2 = 7722 with 0 remainder
7722 ÷ 2 = 3861 with 0 remainder
3861 ÷ 2 = 1930 with 1 remainder
1930 ÷ 2 = 965 with 0 remainder
965 ÷ 2 = 482 with 1 remainder
482 ÷ 2 = 241 with 0 remainder
241 ÷ 2 = 120 with 1 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 78A8 hexadecimal to binary:

78A8 hexadecimal = 111100010101000 binary

Hexadecimal to Binary Converter
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78A9 hexadecimal to binary
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