D34E hexadecimal to binary

Here we will show you how to convert the hexadecimal number D34E 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 D34E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D34E by 16⁰, multiply the second to last digit in D34E by 16¹, multiply the third to last digit in D34E by 16², multiply the fourth to last digit in D34E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
4 × 16¹ = 64
3 × 16² = 768
D × 16³ = 53248

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 + 64 + 768 + 53248 = 54094

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.

54094 ÷ 2 = 27047 with 0 remainder
27047 ÷ 2 = 13523 with 1 remainder
13523 ÷ 2 = 6761 with 1 remainder
6761 ÷ 2 = 3380 with 1 remainder
3380 ÷ 2 = 1690 with 0 remainder
1690 ÷ 2 = 845 with 0 remainder
845 ÷ 2 = 422 with 1 remainder
422 ÷ 2 = 211 with 0 remainder
211 ÷ 2 = 105 with 1 remainder
105 ÷ 2 = 52 with 1 remainder
52 ÷ 2 = 26 with 0 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 D34E hexadecimal to binary:

D34E hexadecimal = 1101001101001110 binary

Hexadecimal to Binary Converter
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D34F hexadecimal to binary
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