5343 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5343 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 5343 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5343 by 16⁰, multiply the second to last digit in 5343 by 16¹, multiply the third to last digit in 5343 by 16², multiply the fourth to last digit in 5343 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
4 × 16¹ = 64
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:

3 + 64 + 768 + 20480 = 21315

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.

21315 ÷ 2 = 10657 with 1 remainder
10657 ÷ 2 = 5328 with 1 remainder
5328 ÷ 2 = 2664 with 0 remainder
2664 ÷ 2 = 1332 with 0 remainder
1332 ÷ 2 = 666 with 0 remainder
666 ÷ 2 = 333 with 0 remainder
333 ÷ 2 = 166 with 1 remainder
166 ÷ 2 = 83 with 0 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 5343 hexadecimal to binary:

5343 hexadecimal = 101001101000011 binary

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5344 hexadecimal to binary
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