7D16 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7D16 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 7D16 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7D16 by 16⁰, multiply the second to last digit in 7D16 by 16¹, multiply the third to last digit in 7D16 by 16², multiply the fourth to last digit in 7D16 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
1 × 16¹ = 16
D × 16² = 3328
7 × 16³ = 28672

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:

6 + 16 + 3328 + 28672 = 32022

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.

32022 ÷ 2 = 16011 with 0 remainder
16011 ÷ 2 = 8005 with 1 remainder
8005 ÷ 2 = 4002 with 1 remainder
4002 ÷ 2 = 2001 with 0 remainder
2001 ÷ 2 = 1000 with 1 remainder
1000 ÷ 2 = 500 with 0 remainder
500 ÷ 2 = 250 with 0 remainder
250 ÷ 2 = 125 with 0 remainder
125 ÷ 2 = 62 with 1 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 7D16 hexadecimal to binary:

7D16 hexadecimal = 111110100010110 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

7D17 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.