7900 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7900 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 7900 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7900 by 16⁰, multiply the second to last digit in 7900 by 16¹, multiply the third to last digit in 7900 by 16², multiply the fourth to last digit in 7900 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
0 × 16¹ = 0
9 × 16² = 2304
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:

0 + 0 + 2304 + 28672 = 30976

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.

30976 ÷ 2 = 15488 with 0 remainder
15488 ÷ 2 = 7744 with 0 remainder
7744 ÷ 2 = 3872 with 0 remainder
3872 ÷ 2 = 1936 with 0 remainder
1936 ÷ 2 = 968 with 0 remainder
968 ÷ 2 = 484 with 0 remainder
484 ÷ 2 = 242 with 0 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 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 7900 hexadecimal to binary:

7900 hexadecimal = 111100100000000 binary

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

7901 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.