9100 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9100 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 9100 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9100 by 16⁰, multiply the second to last digit in 9100 by 16¹, multiply the third to last digit in 9100 by 16², multiply the fourth to last digit in 9100 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
0 × 16¹ = 0
1 × 16² = 256
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 + 0 + 256 + 36864 = 37120

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.

37120 ÷ 2 = 18560 with 0 remainder
18560 ÷ 2 = 9280 with 0 remainder
9280 ÷ 2 = 4640 with 0 remainder
4640 ÷ 2 = 2320 with 0 remainder
2320 ÷ 2 = 1160 with 0 remainder
1160 ÷ 2 = 580 with 0 remainder
580 ÷ 2 = 290 with 0 remainder
290 ÷ 2 = 145 with 0 remainder
145 ÷ 2 = 72 with 1 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 9100 hexadecimal to binary:

9100 hexadecimal = 1001000100000000 binary

Hexadecimal to Binary Converter
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