B40E hexadecimal to binary

Here we will show you how to convert the hexadecimal number B40E 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 B40E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B40E by 16⁰, multiply the second to last digit in B40E by 16¹, multiply the third to last digit in B40E by 16², multiply the fourth to last digit in B40E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
0 × 16¹ = 0
4 × 16² = 1024
B × 16³ = 45056

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 + 0 + 1024 + 45056 = 46094

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.

46094 ÷ 2 = 23047 with 0 remainder
23047 ÷ 2 = 11523 with 1 remainder
11523 ÷ 2 = 5761 with 1 remainder
5761 ÷ 2 = 2880 with 1 remainder
2880 ÷ 2 = 1440 with 0 remainder
1440 ÷ 2 = 720 with 0 remainder
720 ÷ 2 = 360 with 0 remainder
360 ÷ 2 = 180 with 0 remainder
180 ÷ 2 = 90 with 0 remainder
90 ÷ 2 = 45 with 0 remainder
45 ÷ 2 = 22 with 1 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 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 B40E hexadecimal to binary:

B40E hexadecimal = 1011010000001110 binary

Hexadecimal to Binary Converter
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B40F hexadecimal to binary
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