5140 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5140 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 5140 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5140 by 16⁰, multiply the second to last digit in 5140 by 16¹, multiply the third to last digit in 5140 by 16², multiply the fourth to last digit in 5140 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
4 × 16¹ = 64
1 × 16² = 256
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:

0 + 64 + 256 + 20480 = 20800

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.

20800 ÷ 2 = 10400 with 0 remainder
10400 ÷ 2 = 5200 with 0 remainder
5200 ÷ 2 = 2600 with 0 remainder
2600 ÷ 2 = 1300 with 0 remainder
1300 ÷ 2 = 650 with 0 remainder
650 ÷ 2 = 325 with 0 remainder
325 ÷ 2 = 162 with 1 remainder
162 ÷ 2 = 81 with 0 remainder
81 ÷ 2 = 40 with 1 remainder
40 ÷ 2 = 20 with 0 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 5140 hexadecimal to binary:

5140 hexadecimal = 101000101000000 binary

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5141 hexadecimal to binary
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