5258 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5258 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 5258 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5258 by 16⁰, multiply the second to last digit in 5258 by 16¹, multiply the third to last digit in 5258 by 16², multiply the fourth to last digit in 5258 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
5 × 16¹ = 80
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:

8 + 80 + 512 + 20480 = 21080

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.

21080 ÷ 2 = 10540 with 0 remainder
10540 ÷ 2 = 5270 with 0 remainder
5270 ÷ 2 = 2635 with 0 remainder
2635 ÷ 2 = 1317 with 1 remainder
1317 ÷ 2 = 658 with 1 remainder
658 ÷ 2 = 329 with 0 remainder
329 ÷ 2 = 164 with 1 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 5258 hexadecimal to binary:

5258 hexadecimal = 101001001011000 binary

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5259 hexadecimal to binary
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