5717 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5717 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 5717 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5717 by 16⁰, multiply the second to last digit in 5717 by 16¹, multiply the third to last digit in 5717 by 16², multiply the fourth to last digit in 5717 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
1 × 16¹ = 16
7 × 16² = 1792
5 × 16³ = 20480

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:

7 + 16 + 1792 + 20480 = 22295

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.

22295 ÷ 2 = 11147 with 1 remainder
11147 ÷ 2 = 5573 with 1 remainder
5573 ÷ 2 = 2786 with 1 remainder
2786 ÷ 2 = 1393 with 0 remainder
1393 ÷ 2 = 696 with 1 remainder
696 ÷ 2 = 348 with 0 remainder
348 ÷ 2 = 174 with 0 remainder
174 ÷ 2 = 87 with 0 remainder
87 ÷ 2 = 43 with 1 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 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 5717 hexadecimal to binary:

5717 hexadecimal = 101011100010111 binary

Hexadecimal to Binary Converter
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5718 hexadecimal to binary
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