
Here we will show you how to convert the hexadecimal number 9650 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 9650 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 9650 by 16⁰, multiply the second to last digit in 9650 by 16¹, multiply the third to last digit in 9650 by 16², multiply the fourth to last digit in 9650 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
5 × 16¹ = 80
6 × 16² = 1536
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 + 1536 + 36864 = 38480
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.
38480 ÷ 2 = 19240 with 0 remainder
19240 ÷ 2 = 9620 with 0 remainder
9620 ÷ 2 = 4810 with 0 remainder
4810 ÷ 2 = 2405 with 0 remainder
2405 ÷ 2 = 1202 with 1 remainder
1202 ÷ 2 = 601 with 0 remainder
601 ÷ 2 = 300 with 1 remainder
300 ÷ 2 = 150 with 0 remainder
150 ÷ 2 = 75 with 0 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 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 9650 hexadecimal to binary:
9650 hexadecimal = 1001011001010000 binary
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9651 hexadecimal to binary
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