4EF6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4EF6 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 4EF6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4EF6 by 16⁰, multiply the second to last digit in 4EF6 by 16¹, multiply the third to last digit in 4EF6 by 16², multiply the fourth to last digit in 4EF6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
F × 16¹ = 240
E × 16² = 3584
4 × 16³ = 16384

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:

6 + 240 + 3584 + 16384 = 20214

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.

20214 ÷ 2 = 10107 with 0 remainder
10107 ÷ 2 = 5053 with 1 remainder
5053 ÷ 2 = 2526 with 1 remainder
2526 ÷ 2 = 1263 with 0 remainder
1263 ÷ 2 = 631 with 1 remainder
631 ÷ 2 = 315 with 1 remainder
315 ÷ 2 = 157 with 1 remainder
157 ÷ 2 = 78 with 1 remainder
78 ÷ 2 = 39 with 0 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 4EF6 hexadecimal to binary:

4EF6 hexadecimal = 100111011110110 binary

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4EF7 hexadecimal to binary
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