
Here we will show you how to convert the hexadecimal number E68B 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 E68B from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in E68B by 16⁰, multiply the second to last digit in E68B by 16¹, multiply the third to last digit in E68B by 16², multiply the fourth to last digit in E68B by 16³, and so on, until all the digits are used.
B × 16⁰ = 11
8 × 16¹ = 128
6 × 16² = 1536
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:
11 + 128 + 1536 + 57344 = 59019
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.
59019 ÷ 2 = 29509 with 1 remainder
29509 ÷ 2 = 14754 with 1 remainder
14754 ÷ 2 = 7377 with 0 remainder
7377 ÷ 2 = 3688 with 1 remainder
3688 ÷ 2 = 1844 with 0 remainder
1844 ÷ 2 = 922 with 0 remainder
922 ÷ 2 = 461 with 0 remainder
461 ÷ 2 = 230 with 1 remainder
230 ÷ 2 = 115 with 0 remainder
115 ÷ 2 = 57 with 1 remainder
57 ÷ 2 = 28 with 1 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 E68B hexadecimal to binary:
E68B hexadecimal = 1110011010001011 binary
Hexadecimal to Binary Converter
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