
Here we will show you how to convert the hexadecimal number E32C 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 E32C from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in E32C by 16⁰, multiply the second to last digit in E32C by 16¹, multiply the third to last digit in E32C by 16², multiply the fourth to last digit in E32C by 16³, and so on, until all the digits are used.
C × 16⁰ = 12
2 × 16¹ = 32
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:
12 + 32 + 768 + 57344 = 58156
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.
58156 ÷ 2 = 29078 with 0 remainder
29078 ÷ 2 = 14539 with 0 remainder
14539 ÷ 2 = 7269 with 1 remainder
7269 ÷ 2 = 3634 with 1 remainder
3634 ÷ 2 = 1817 with 0 remainder
1817 ÷ 2 = 908 with 1 remainder
908 ÷ 2 = 454 with 0 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 E32C hexadecimal to binary:
E32C hexadecimal = 1110001100101100 binary
Hexadecimal to Binary Converter
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E32D hexadecimal to binary
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