164E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 164E 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 164E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 164E by 16⁰, multiply the second to last digit in 164E by 16¹, multiply the third to last digit in 164E by 16², multiply the fourth to last digit in 164E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
4 × 16¹ = 64
6 × 16² = 1536
1 × 16³ = 4096

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 + 64 + 1536 + 4096 = 5710

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.

5710 ÷ 2 = 2855 with 0 remainder
2855 ÷ 2 = 1427 with 1 remainder
1427 ÷ 2 = 713 with 1 remainder
713 ÷ 2 = 356 with 1 remainder
356 ÷ 2 = 178 with 0 remainder
178 ÷ 2 = 89 with 0 remainder
89 ÷ 2 = 44 with 1 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 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 164E hexadecimal to binary:

164E hexadecimal = 1011001001110 binary

Hexadecimal to Binary Converter
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164F hexadecimal to binary
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