AD7F hexadecimal to binary

Here we will show you how to convert the hexadecimal number AD7F 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 AD7F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AD7F by 16⁰, multiply the second to last digit in AD7F by 16¹, multiply the third to last digit in AD7F by 16², multiply the fourth to last digit in AD7F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
7 × 16¹ = 112
D × 16² = 3328
A × 16³ = 40960

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 + 40960 = 44415

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.

44415 ÷ 2 = 22207 with 1 remainder
22207 ÷ 2 = 11103 with 1 remainder
11103 ÷ 2 = 5551 with 1 remainder
5551 ÷ 2 = 2775 with 1 remainder
2775 ÷ 2 = 1387 with 1 remainder
1387 ÷ 2 = 693 with 1 remainder
693 ÷ 2 = 346 with 1 remainder
346 ÷ 2 = 173 with 0 remainder
173 ÷ 2 = 86 with 1 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 AD7F hexadecimal to binary:

AD7F hexadecimal = 1010110101111111 binary

Hexadecimal to Binary Converter
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