A6E hexadecimal to binary

Here we will show you how to convert the hexadecimal number A6E 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 A6E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A6E by 16⁰, multiply the second to last digit in A6E by 16¹, multiply the third to last digit in A6E by 16², multiply the fourth to last digit in A6E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
6 × 16¹ = 96
A × 16² = 2560

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:

14 + 96 + 2560 = 2670

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.

2670 ÷ 2 = 1335 with 0 remainder
1335 ÷ 2 = 667 with 1 remainder
667 ÷ 2 = 333 with 1 remainder
333 ÷ 2 = 166 with 1 remainder
166 ÷ 2 = 83 with 0 remainder
83 ÷ 2 = 41 with 1 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 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 A6E hexadecimal to binary:

A6E hexadecimal = 101001101110 binary

Hexadecimal to Binary Converter
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A6F hexadecimal to binary
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