2EFA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2EFA 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 2EFA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2EFA by 16⁰, multiply the second to last digit in 2EFA by 16¹, multiply the third to last digit in 2EFA by 16², multiply the fourth to last digit in 2EFA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
F × 16¹ = 240
E × 16² = 3584
2 × 16³ = 8192

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:

10 + 240 + 3584 + 8192 = 12026

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.

12026 ÷ 2 = 6013 with 0 remainder
6013 ÷ 2 = 3006 with 1 remainder
3006 ÷ 2 = 1503 with 0 remainder
1503 ÷ 2 = 751 with 1 remainder
751 ÷ 2 = 375 with 1 remainder
375 ÷ 2 = 187 with 1 remainder
187 ÷ 2 = 93 with 1 remainder
93 ÷ 2 = 46 with 1 remainder
46 ÷ 2 = 23 with 0 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 2EFA hexadecimal to binary:

2EFA hexadecimal = 10111011111010 binary

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

2EFB hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.