EBCD hexadecimal to binary

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

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

D × 16⁰ = 13
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:

13 + 192 + 2816 + 57344 = 60365

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.

60365 ÷ 2 = 30182 with 1 remainder
30182 ÷ 2 = 15091 with 0 remainder
15091 ÷ 2 = 7545 with 1 remainder
7545 ÷ 2 = 3772 with 1 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 EBCD hexadecimal to binary:

EBCD hexadecimal = 1110101111001101 binary

Hexadecimal to Binary Converter
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