708E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 708E 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 708E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 708E by 16⁰, multiply the second to last digit in 708E by 16¹, multiply the third to last digit in 708E by 16², multiply the fourth to last digit in 708E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
8 × 16¹ = 128
0 × 16² = 0
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:

14 + 128 + 0 + 28672 = 28814

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.

28814 ÷ 2 = 14407 with 0 remainder
14407 ÷ 2 = 7203 with 1 remainder
7203 ÷ 2 = 3601 with 1 remainder
3601 ÷ 2 = 1800 with 1 remainder
1800 ÷ 2 = 900 with 0 remainder
900 ÷ 2 = 450 with 0 remainder
450 ÷ 2 = 225 with 0 remainder
225 ÷ 2 = 112 with 1 remainder
112 ÷ 2 = 56 with 0 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 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 708E hexadecimal to binary:

708E hexadecimal = 111000010001110 binary

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708F hexadecimal to binary
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