79EF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 79EF 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 79EF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 79EF by 16⁰, multiply the second to last digit in 79EF by 16¹, multiply the third to last digit in 79EF by 16², multiply the fourth to last digit in 79EF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
9 × 16² = 2304
7 × 16³ = 28672

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:

15 + 224 + 2304 + 28672 = 31215

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.

31215 ÷ 2 = 15607 with 1 remainder
15607 ÷ 2 = 7803 with 1 remainder
7803 ÷ 2 = 3901 with 1 remainder
3901 ÷ 2 = 1950 with 1 remainder
1950 ÷ 2 = 975 with 0 remainder
975 ÷ 2 = 487 with 1 remainder
487 ÷ 2 = 243 with 1 remainder
243 ÷ 2 = 121 with 1 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 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 79EF hexadecimal to binary:

79EF hexadecimal = 111100111101111 binary

Hexadecimal to Binary Converter
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