1EBC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1EBC 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 1EBC from hexadecimal to binary are explained below.

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

C × 16⁰ = 12
B × 16¹ = 176
E × 16² = 3584
1 × 16³ = 4096

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 + 176 + 3584 + 4096 = 7868

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.

7868 ÷ 2 = 3934 with 0 remainder
3934 ÷ 2 = 1967 with 0 remainder
1967 ÷ 2 = 983 with 1 remainder
983 ÷ 2 = 491 with 1 remainder
491 ÷ 2 = 245 with 1 remainder
245 ÷ 2 = 122 with 1 remainder
122 ÷ 2 = 61 with 0 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 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 1EBC hexadecimal to binary:

1EBC hexadecimal = 1111010111100 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

1EBD hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.