906E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 906E 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 906E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 906E by 16⁰, multiply the second to last digit in 906E by 16¹, multiply the third to last digit in 906E by 16², multiply the fourth to last digit in 906E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
6 × 16¹ = 96
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 + 96 + 0 + 36864 = 36974

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.

36974 ÷ 2 = 18487 with 0 remainder
18487 ÷ 2 = 9243 with 1 remainder
9243 ÷ 2 = 4621 with 1 remainder
4621 ÷ 2 = 2310 with 1 remainder
2310 ÷ 2 = 1155 with 0 remainder
1155 ÷ 2 = 577 with 1 remainder
577 ÷ 2 = 288 with 1 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 906E hexadecimal to binary:

906E hexadecimal = 1001000001101110 binary

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906F hexadecimal to binary
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