5381 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5381 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 5381 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5381 by 16⁰, multiply the second to last digit in 5381 by 16¹, multiply the third to last digit in 5381 by 16², multiply the fourth to last digit in 5381 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
8 × 16¹ = 128
3 × 16² = 768
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:

1 + 128 + 768 + 20480 = 21377

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.

21377 ÷ 2 = 10688 with 1 remainder
10688 ÷ 2 = 5344 with 0 remainder
5344 ÷ 2 = 2672 with 0 remainder
2672 ÷ 2 = 1336 with 0 remainder
1336 ÷ 2 = 668 with 0 remainder
668 ÷ 2 = 334 with 0 remainder
334 ÷ 2 = 167 with 0 remainder
167 ÷ 2 = 83 with 1 remainder
83 ÷ 2 = 41 with 1 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 5381 hexadecimal to binary:

5381 hexadecimal = 101001110000001 binary

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5382 hexadecimal to binary
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