E344 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E344 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 E344 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E344 by 16⁰, multiply the second to last digit in E344 by 16¹, multiply the third to last digit in E344 by 16², multiply the fourth to last digit in E344 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
4 × 16¹ = 64
3 × 16² = 768
E × 16³ = 57344

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:

4 + 64 + 768 + 57344 = 58180

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.

58180 ÷ 2 = 29090 with 0 remainder
29090 ÷ 2 = 14545 with 0 remainder
14545 ÷ 2 = 7272 with 1 remainder
7272 ÷ 2 = 3636 with 0 remainder
3636 ÷ 2 = 1818 with 0 remainder
1818 ÷ 2 = 909 with 0 remainder
909 ÷ 2 = 454 with 1 remainder
454 ÷ 2 = 227 with 0 remainder
227 ÷ 2 = 113 with 1 remainder
113 ÷ 2 = 56 with 1 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 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 E344 hexadecimal to binary:

E344 hexadecimal = 1110001101000100 binary

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E345 hexadecimal to binary
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