
Here we will show you how to convert the hexadecimal number 9E7 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 9E7 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 9E7 by 16⁰, multiply the second to last digit in 9E7 by 16¹, multiply the third to last digit in 9E7 by 16², multiply the fourth to last digit in 9E7 by 16³, and so on, until all the digits are used.
7 × 16⁰ = 7
E × 16¹ = 224
9 × 16² = 2304
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:
7 + 224 + 2304 = 2535
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.
2535 ÷ 2 = 1267 with 1 remainder
1267 ÷ 2 = 633 with 1 remainder
633 ÷ 2 = 316 with 1 remainder
316 ÷ 2 = 158 with 0 remainder
158 ÷ 2 = 79 with 0 remainder
79 ÷ 2 = 39 with 1 remainder
39 ÷ 2 = 19 with 1 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 9E7 hexadecimal to binary:
9E7 hexadecimal = 100111100111 binary
Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.
9E8 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.
Copyright | Privacy Policy | Disclaimer | Contact