
Here we will show you how to convert the hexadecimal number 760 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 760 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 760 by 16⁰, multiply the second to last digit in 760 by 16¹, multiply the third to last digit in 760 by 16², multiply the fourth to last digit in 760 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
6 × 16¹ = 96
7 × 16² = 1792
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 + 96 + 1792 = 1888
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.
1888 ÷ 2 = 944 with 0 remainder
944 ÷ 2 = 472 with 0 remainder
472 ÷ 2 = 236 with 0 remainder
236 ÷ 2 = 118 with 0 remainder
118 ÷ 2 = 59 with 0 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 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 760 hexadecimal to binary:
760 hexadecimal = 11101100000 binary
Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.
761 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.
Copyright | Privacy Policy | Disclaimer | Contact