502F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 502F 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 502F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 502F by 16⁰, multiply the second to last digit in 502F by 16¹, multiply the third to last digit in 502F by 16², multiply the fourth to last digit in 502F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
2 × 16¹ = 32
0 × 16² = 0
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:

15 + 32 + 0 + 20480 = 20527

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.

20527 ÷ 2 = 10263 with 1 remainder
10263 ÷ 2 = 5131 with 1 remainder
5131 ÷ 2 = 2565 with 1 remainder
2565 ÷ 2 = 1282 with 1 remainder
1282 ÷ 2 = 641 with 0 remainder
641 ÷ 2 = 320 with 1 remainder
320 ÷ 2 = 160 with 0 remainder
160 ÷ 2 = 80 with 0 remainder
80 ÷ 2 = 40 with 0 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 502F hexadecimal to binary:

502F hexadecimal = 101000000101111 binary

Hexadecimal to Binary Converter
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