4D7F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4D7F 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 4D7F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4D7F by 16⁰, multiply the second to last digit in 4D7F by 16¹, multiply the third to last digit in 4D7F by 16², multiply the fourth to last digit in 4D7F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
7 × 16¹ = 112
D × 16² = 3328
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 + 3328 + 16384 = 19839

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.

19839 ÷ 2 = 9919 with 1 remainder
9919 ÷ 2 = 4959 with 1 remainder
4959 ÷ 2 = 2479 with 1 remainder
2479 ÷ 2 = 1239 with 1 remainder
1239 ÷ 2 = 619 with 1 remainder
619 ÷ 2 = 309 with 1 remainder
309 ÷ 2 = 154 with 1 remainder
154 ÷ 2 = 77 with 0 remainder
77 ÷ 2 = 38 with 1 remainder
38 ÷ 2 = 19 with 0 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 4D7F hexadecimal to binary:

4D7F hexadecimal = 100110101111111 binary

Hexadecimal to Binary Converter
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