
Here we will show you how to convert the hexadecimal number 36F 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 36F from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 36F by 16⁰, multiply the second to last digit in 36F by 16¹, multiply the third to last digit in 36F by 16², multiply the fourth to last digit in 36F by 16³, and so on, until all the digits are used.
F × 16⁰ = 15
6 × 16¹ = 96
3 × 16² = 768
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 + 96 + 768 = 879
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.
879 ÷ 2 = 439 with 1 remainder
439 ÷ 2 = 219 with 1 remainder
219 ÷ 2 = 109 with 1 remainder
109 ÷ 2 = 54 with 1 remainder
54 ÷ 2 = 27 with 0 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 36F hexadecimal to binary:
36F hexadecimal = 1101101111 binary
Hexadecimal to Binary Converter
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