F173 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F173 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 F173 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F173 by 16⁰, multiply the second to last digit in F173 by 16¹, multiply the third to last digit in F173 by 16², multiply the fourth to last digit in F173 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
7 × 16¹ = 112
1 × 16² = 256
F × 16³ = 61440

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:

3 + 112 + 256 + 61440 = 61811

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.

61811 ÷ 2 = 30905 with 1 remainder
30905 ÷ 2 = 15452 with 1 remainder
15452 ÷ 2 = 7726 with 0 remainder
7726 ÷ 2 = 3863 with 0 remainder
3863 ÷ 2 = 1931 with 1 remainder
1931 ÷ 2 = 965 with 1 remainder
965 ÷ 2 = 482 with 1 remainder
482 ÷ 2 = 241 with 0 remainder
241 ÷ 2 = 120 with 1 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 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 F173 hexadecimal to binary:

F173 hexadecimal = 1111000101110011 binary

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F174 hexadecimal to binary
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