9274 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 9274 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 9274 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 9274 by 16⁰, multiply the second to last digit in 9274 by 16¹, multiply the third to last digit in 9274 by 16², multiply the fourth to last digit in 9274 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
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:

4 + 112 + 512 + 36864 = 37492

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.

37492 ÷ 2 = 18746 with 0 remainder
18746 ÷ 2 = 9373 with 0 remainder
9373 ÷ 2 = 4686 with 1 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 9274 hexadecimal to binary:

9274 hexadecimal = 1001001001110100 binary

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9275 hexadecimal to binary
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