7016 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7016 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 7016 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7016 by 16⁰, multiply the second to last digit in 7016 by 16¹, multiply the third to last digit in 7016 by 16², multiply the fourth to last digit in 7016 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
1 × 16¹ = 16
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:

6 + 16 + 0 + 28672 = 28694

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.

28694 ÷ 2 = 14347 with 0 remainder
14347 ÷ 2 = 7173 with 1 remainder
7173 ÷ 2 = 3586 with 1 remainder
3586 ÷ 2 = 1793 with 0 remainder
1793 ÷ 2 = 896 with 1 remainder
896 ÷ 2 = 448 with 0 remainder
448 ÷ 2 = 224 with 0 remainder
224 ÷ 2 = 112 with 0 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 7016 hexadecimal to binary:

7016 hexadecimal = 111000000010110 binary

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7017 hexadecimal to binary
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