5214 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5214 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 5214 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5214 by 16⁰, multiply the second to last digit in 5214 by 16¹, multiply the third to last digit in 5214 by 16², multiply the fourth to last digit in 5214 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
1 × 16¹ = 16
2 × 16² = 512
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:

4 + 16 + 512 + 20480 = 21012

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.

21012 ÷ 2 = 10506 with 0 remainder
10506 ÷ 2 = 5253 with 0 remainder
5253 ÷ 2 = 2626 with 1 remainder
2626 ÷ 2 = 1313 with 0 remainder
1313 ÷ 2 = 656 with 1 remainder
656 ÷ 2 = 328 with 0 remainder
328 ÷ 2 = 164 with 0 remainder
164 ÷ 2 = 82 with 0 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 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 5214 hexadecimal to binary:

5214 hexadecimal = 101001000010100 binary

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5215 hexadecimal to binary
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