708A hexadecimal to binary

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

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

A × 16⁰ = 10
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:

10 + 128 + 0 + 28672 = 28810

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.

28810 ÷ 2 = 14405 with 0 remainder
14405 ÷ 2 = 7202 with 1 remainder
7202 ÷ 2 = 3601 with 0 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 708A hexadecimal to binary:

708A hexadecimal = 111000010001010 binary

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708B hexadecimal to binary
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