563D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 563D 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 563D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 563D by 16⁰, multiply the second to last digit in 563D by 16¹, multiply the third to last digit in 563D by 16², multiply the fourth to last digit in 563D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
3 × 16¹ = 48
6 × 16² = 1536
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:

13 + 48 + 1536 + 20480 = 22077

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.

22077 ÷ 2 = 11038 with 1 remainder
11038 ÷ 2 = 5519 with 0 remainder
5519 ÷ 2 = 2759 with 1 remainder
2759 ÷ 2 = 1379 with 1 remainder
1379 ÷ 2 = 689 with 1 remainder
689 ÷ 2 = 344 with 1 remainder
344 ÷ 2 = 172 with 0 remainder
172 ÷ 2 = 86 with 0 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 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 563D hexadecimal to binary:

563D hexadecimal = 101011000111101 binary

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563E hexadecimal to binary
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