
Here we will show you how to convert the hexadecimal number 9272 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 9272 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 9272 by 16⁰, multiply the second to last digit in 9272 by 16¹, multiply the third to last digit in 9272 by 16², multiply the fourth to last digit in 9272 by 16³, and so on, until all the digits are used.
2 × 16⁰ = 2
7 × 16¹ = 112
2 × 16² = 512
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:
2 + 112 + 512 + 36864 = 37490
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.
37490 ÷ 2 = 18745 with 0 remainder
18745 ÷ 2 = 9372 with 1 remainder
9372 ÷ 2 = 4686 with 0 remainder
4686 ÷ 2 = 2343 with 0 remainder
2343 ÷ 2 = 1171 with 1 remainder
1171 ÷ 2 = 585 with 1 remainder
585 ÷ 2 = 292 with 1 remainder
292 ÷ 2 = 146 with 0 remainder
146 ÷ 2 = 73 with 0 remainder
73 ÷ 2 = 36 with 1 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 9272 hexadecimal to binary:
9272 hexadecimal = 1001001001110010 binary
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9273 hexadecimal to binary
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