90E2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 90E2 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 90E2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 90E2 by 16⁰, multiply the second to last digit in 90E2 by 16¹, multiply the third to last digit in 90E2 by 16², multiply the fourth to last digit in 90E2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
E × 16¹ = 224
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:

2 + 224 + 0 + 36864 = 37090

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.

37090 ÷ 2 = 18545 with 0 remainder
18545 ÷ 2 = 9272 with 1 remainder
9272 ÷ 2 = 4636 with 0 remainder
4636 ÷ 2 = 2318 with 0 remainder
2318 ÷ 2 = 1159 with 0 remainder
1159 ÷ 2 = 579 with 1 remainder
579 ÷ 2 = 289 with 1 remainder
289 ÷ 2 = 144 with 1 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 90E2 hexadecimal to binary:

90E2 hexadecimal = 1001000011100010 binary

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