901F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 901F 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 901F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 901F by 16⁰, multiply the second to last digit in 901F by 16¹, multiply the third to last digit in 901F by 16², multiply the fourth to last digit in 901F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
1 × 16¹ = 16
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:

15 + 16 + 0 + 36864 = 36895

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.

36895 ÷ 2 = 18447 with 1 remainder
18447 ÷ 2 = 9223 with 1 remainder
9223 ÷ 2 = 4611 with 1 remainder
4611 ÷ 2 = 2305 with 1 remainder
2305 ÷ 2 = 1152 with 1 remainder
1152 ÷ 2 = 576 with 0 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 901F hexadecimal to binary:

901F hexadecimal = 1001000000011111 binary

Hexadecimal to Binary Converter
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