EBC2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EBC2 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 EBC2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EBC2 by 16⁰, multiply the second to last digit in EBC2 by 16¹, multiply the third to last digit in EBC2 by 16², multiply the fourth to last digit in EBC2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
C × 16¹ = 192
B × 16² = 2816
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:

2 + 192 + 2816 + 57344 = 60354

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.

60354 ÷ 2 = 30177 with 0 remainder
30177 ÷ 2 = 15088 with 1 remainder
15088 ÷ 2 = 7544 with 0 remainder
7544 ÷ 2 = 3772 with 0 remainder
3772 ÷ 2 = 1886 with 0 remainder
1886 ÷ 2 = 943 with 0 remainder
943 ÷ 2 = 471 with 1 remainder
471 ÷ 2 = 235 with 1 remainder
235 ÷ 2 = 117 with 1 remainder
117 ÷ 2 = 58 with 1 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 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 EBC2 hexadecimal to binary:

EBC2 hexadecimal = 1110101111000010 binary

Hexadecimal to Binary Converter
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