EB7E hexadecimal to binary

Here we will show you how to convert the hexadecimal number EB7E 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 EB7E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EB7E by 16⁰, multiply the second to last digit in EB7E by 16¹, multiply the third to last digit in EB7E by 16², multiply the fourth to last digit in EB7E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
7 × 16¹ = 112
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:

14 + 112 + 2816 + 57344 = 60286

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.

60286 ÷ 2 = 30143 with 0 remainder
30143 ÷ 2 = 15071 with 1 remainder
15071 ÷ 2 = 7535 with 1 remainder
7535 ÷ 2 = 3767 with 1 remainder
3767 ÷ 2 = 1883 with 1 remainder
1883 ÷ 2 = 941 with 1 remainder
941 ÷ 2 = 470 with 1 remainder
470 ÷ 2 = 235 with 0 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 EB7E hexadecimal to binary:

EB7E hexadecimal = 1110101101111110 binary

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

EB7F hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.