
Here we will show you how to convert the hexadecimal number 9050 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 9050 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 9050 by 16⁰, multiply the second to last digit in 9050 by 16¹, multiply the third to last digit in 9050 by 16², multiply the fourth to last digit in 9050 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
5 × 16¹ = 80
0 × 16² = 0
9 × 16³ = 36864
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 + 80 + 0 + 36864 = 36944
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.
36944 ÷ 2 = 18472 with 0 remainder
18472 ÷ 2 = 9236 with 0 remainder
9236 ÷ 2 = 4618 with 0 remainder
4618 ÷ 2 = 2309 with 0 remainder
2309 ÷ 2 = 1154 with 1 remainder
1154 ÷ 2 = 577 with 0 remainder
577 ÷ 2 = 288 with 1 remainder
288 ÷ 2 = 144 with 0 remainder
144 ÷ 2 = 72 with 0 remainder
72 ÷ 2 = 36 with 0 remainder
36 ÷ 2 = 18 with 0 remainder
18 ÷ 2 = 9 with 0 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 9050 hexadecimal to binary:
9050 hexadecimal = 1001000001010000 binary
Hexadecimal to Binary Converter
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9051 hexadecimal to binary
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