172 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 172 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 172 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 172 by 16⁰, multiply the second to last digit in 172 by 16¹, multiply the third to last digit in 172 by 16², multiply the fourth to last digit in 172 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
7 × 16¹ = 112
1 × 16² = 256

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:

2 + 112 + 256 = 370

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.

370 ÷ 2 = 185 with 0 remainder
185 ÷ 2 = 92 with 1 remainder
92 ÷ 2 = 46 with 0 remainder
46 ÷ 2 = 23 with 0 remainder
23 ÷ 2 = 11 with 1 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 172 hexadecimal to binary:

172 hexadecimal = 101110010 binary

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173 hexadecimal to binary
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