150F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 150F 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 150F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 150F by 16⁰, multiply the second to last digit in 150F by 16¹, multiply the third to last digit in 150F by 16², multiply the fourth to last digit in 150F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
0 × 16¹ = 0
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:

15 + 0 + 1280 + 4096 = 5391

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.

5391 ÷ 2 = 2695 with 1 remainder
2695 ÷ 2 = 1347 with 1 remainder
1347 ÷ 2 = 673 with 1 remainder
673 ÷ 2 = 336 with 1 remainder
336 ÷ 2 = 168 with 0 remainder
168 ÷ 2 = 84 with 0 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 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 150F hexadecimal to binary:

150F hexadecimal = 1010100001111 binary

Hexadecimal to Binary Converter
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