53E8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 53E8 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 53E8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 53E8 by 16⁰, multiply the second to last digit in 53E8 by 16¹, multiply the third to last digit in 53E8 by 16², multiply the fourth to last digit in 53E8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
E × 16¹ = 224
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:

8 + 224 + 768 + 20480 = 21480

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.

21480 ÷ 2 = 10740 with 0 remainder
10740 ÷ 2 = 5370 with 0 remainder
5370 ÷ 2 = 2685 with 0 remainder
2685 ÷ 2 = 1342 with 1 remainder
1342 ÷ 2 = 671 with 0 remainder
671 ÷ 2 = 335 with 1 remainder
335 ÷ 2 = 167 with 1 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 53E8 hexadecimal to binary:

53E8 hexadecimal = 101001111101000 binary

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53E9 hexadecimal to binary
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