
Here we will show you how to convert the hexadecimal number 4E6 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 4E6 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 4E6 by 16⁰, multiply the second to last digit in 4E6 by 16¹, multiply the third to last digit in 4E6 by 16², multiply the fourth to last digit in 4E6 by 16³, and so on, until all the digits are used.
6 × 16⁰ = 6
E × 16¹ = 224
4 × 16² = 1024
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:
6 + 224 + 1024 = 1254
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.
1254 ÷ 2 = 627 with 0 remainder
627 ÷ 2 = 313 with 1 remainder
313 ÷ 2 = 156 with 1 remainder
156 ÷ 2 = 78 with 0 remainder
78 ÷ 2 = 39 with 0 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 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 4E6 hexadecimal to binary:
4E6 hexadecimal = 10011100110 binary
Hexadecimal to Binary Converter
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