E704 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E704 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 E704 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E704 by 16⁰, multiply the second to last digit in E704 by 16¹, multiply the third to last digit in E704 by 16², multiply the fourth to last digit in E704 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
0 × 16¹ = 0
7 × 16² = 1792
E × 16³ = 57344

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:

4 + 0 + 1792 + 57344 = 59140

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.

59140 ÷ 2 = 29570 with 0 remainder
29570 ÷ 2 = 14785 with 0 remainder
14785 ÷ 2 = 7392 with 1 remainder
7392 ÷ 2 = 3696 with 0 remainder
3696 ÷ 2 = 1848 with 0 remainder
1848 ÷ 2 = 924 with 0 remainder
924 ÷ 2 = 462 with 0 remainder
462 ÷ 2 = 231 with 0 remainder
231 ÷ 2 = 115 with 1 remainder
115 ÷ 2 = 57 with 1 remainder
57 ÷ 2 = 28 with 1 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 E704 hexadecimal to binary:

E704 hexadecimal = 1110011100000100 binary

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E705 hexadecimal to binary
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