EC0F hexadecimal to binary

Here we will show you how to convert the hexadecimal number EC0F 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 EC0F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EC0F by 16⁰, multiply the second to last digit in EC0F by 16¹, multiply the third to last digit in EC0F by 16², multiply the fourth to last digit in EC0F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
0 × 16¹ = 0
C × 16² = 3072
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:

15 + 0 + 3072 + 57344 = 60431

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.

60431 ÷ 2 = 30215 with 1 remainder
30215 ÷ 2 = 15107 with 1 remainder
15107 ÷ 2 = 7553 with 1 remainder
7553 ÷ 2 = 3776 with 1 remainder
3776 ÷ 2 = 1888 with 0 remainder
1888 ÷ 2 = 944 with 0 remainder
944 ÷ 2 = 472 with 0 remainder
472 ÷ 2 = 236 with 0 remainder
236 ÷ 2 = 118 with 0 remainder
118 ÷ 2 = 59 with 0 remainder
59 ÷ 2 = 29 with 1 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 EC0F hexadecimal to binary:

EC0F hexadecimal = 1110110000001111 binary

Hexadecimal to Binary Converter
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