EB77 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EB77 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 EB77 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EB77 by 16⁰, multiply the second to last digit in EB77 by 16¹, multiply the third to last digit in EB77 by 16², multiply the fourth to last digit in EB77 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
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:

7 + 112 + 2816 + 57344 = 60279

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.

60279 ÷ 2 = 30139 with 1 remainder
30139 ÷ 2 = 15069 with 1 remainder
15069 ÷ 2 = 7534 with 1 remainder
7534 ÷ 2 = 3767 with 0 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 EB77 hexadecimal to binary:

EB77 hexadecimal = 1110101101110111 binary

Hexadecimal to Binary Converter
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