EAF4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EAF4 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 EAF4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EAF4 by 16⁰, multiply the second to last digit in EAF4 by 16¹, multiply the third to last digit in EAF4 by 16², multiply the fourth to last digit in EAF4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
F × 16¹ = 240
A × 16² = 2560
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:

4 + 240 + 2560 + 57344 = 60148

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.

60148 ÷ 2 = 30074 with 0 remainder
30074 ÷ 2 = 15037 with 0 remainder
15037 ÷ 2 = 7518 with 1 remainder
7518 ÷ 2 = 3759 with 0 remainder
3759 ÷ 2 = 1879 with 1 remainder
1879 ÷ 2 = 939 with 1 remainder
939 ÷ 2 = 469 with 1 remainder
469 ÷ 2 = 234 with 1 remainder
234 ÷ 2 = 117 with 0 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 EAF4 hexadecimal to binary:

EAF4 hexadecimal = 1110101011110100 binary

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