903E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 903E 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 903E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 903E by 16⁰, multiply the second to last digit in 903E by 16¹, multiply the third to last digit in 903E by 16², multiply the fourth to last digit in 903E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
3 × 16¹ = 48
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:

14 + 48 + 0 + 36864 = 36926

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.

36926 ÷ 2 = 18463 with 0 remainder
18463 ÷ 2 = 9231 with 1 remainder
9231 ÷ 2 = 4615 with 1 remainder
4615 ÷ 2 = 2307 with 1 remainder
2307 ÷ 2 = 1153 with 1 remainder
1153 ÷ 2 = 576 with 1 remainder
576 ÷ 2 = 288 with 0 remainder
288 ÷ 2 = 144 with 0 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 903E hexadecimal to binary:

903E hexadecimal = 1001000000111110 binary

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903F hexadecimal to binary
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