158E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 158E 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 158E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 158E by 16⁰, multiply the second to last digit in 158E by 16¹, multiply the third to last digit in 158E by 16², multiply the fourth to last digit in 158E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
8 × 16¹ = 128
5 × 16² = 1280
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 + 128 + 1280 + 4096 = 5518

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.

5518 ÷ 2 = 2759 with 0 remainder
2759 ÷ 2 = 1379 with 1 remainder
1379 ÷ 2 = 689 with 1 remainder
689 ÷ 2 = 344 with 1 remainder
344 ÷ 2 = 172 with 0 remainder
172 ÷ 2 = 86 with 0 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 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 158E hexadecimal to binary:

158E hexadecimal = 1010110001110 binary

Hexadecimal to Binary Converter
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158F hexadecimal to binary
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