1F40 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1F40 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 1F40 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1F40 by 16⁰, multiply the second to last digit in 1F40 by 16¹, multiply the third to last digit in 1F40 by 16², multiply the fourth to last digit in 1F40 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
4 × 16¹ = 64
F × 16² = 3840
1 × 16³ = 4096

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:

0 + 64 + 3840 + 4096 = 8000

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.

8000 ÷ 2 = 4000 with 0 remainder
4000 ÷ 2 = 2000 with 0 remainder
2000 ÷ 2 = 1000 with 0 remainder
1000 ÷ 2 = 500 with 0 remainder
500 ÷ 2 = 250 with 0 remainder
250 ÷ 2 = 125 with 0 remainder
125 ÷ 2 = 62 with 1 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 1F40 hexadecimal to binary:

1F40 hexadecimal = 1111101000000 binary

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1F41 hexadecimal to binary
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