4F7F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4F7F 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 4F7F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4F7F by 16⁰, multiply the second to last digit in 4F7F by 16¹, multiply the third to last digit in 4F7F by 16², multiply the fourth to last digit in 4F7F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
7 × 16¹ = 112
F × 16² = 3840
4 × 16³ = 16384

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 + 112 + 3840 + 16384 = 20351

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.

20351 ÷ 2 = 10175 with 1 remainder
10175 ÷ 2 = 5087 with 1 remainder
5087 ÷ 2 = 2543 with 1 remainder
2543 ÷ 2 = 1271 with 1 remainder
1271 ÷ 2 = 635 with 1 remainder
635 ÷ 2 = 317 with 1 remainder
317 ÷ 2 = 158 with 1 remainder
158 ÷ 2 = 79 with 0 remainder
79 ÷ 2 = 39 with 1 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 4F7F hexadecimal to binary:

4F7F hexadecimal = 100111101111111 binary

Hexadecimal to Binary Converter
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