2704 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2704 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 2704 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2704 by 16⁰, multiply the second to last digit in 2704 by 16¹, multiply the third to last digit in 2704 by 16², multiply the fourth to last digit in 2704 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
0 × 16¹ = 0
7 × 16² = 1792
2 × 16³ = 8192

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 + 8192 = 9988

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.

9988 ÷ 2 = 4994 with 0 remainder
4994 ÷ 2 = 2497 with 0 remainder
2497 ÷ 2 = 1248 with 1 remainder
1248 ÷ 2 = 624 with 0 remainder
624 ÷ 2 = 312 with 0 remainder
312 ÷ 2 = 156 with 0 remainder
156 ÷ 2 = 78 with 0 remainder
78 ÷ 2 = 39 with 0 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 2704 hexadecimal to binary:

2704 hexadecimal = 10011100000100 binary

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2705 hexadecimal to binary
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