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Write 170 in binary form.

Answer :

Final answer:

To convert the decimal number 170 to binary, divide the number by 2 repeatedly, recording the remainders. When you read the remainders in reverse order, you get the binary representation. Thus, 170 in binary form is 10101010.


Explanation:

Converting 170 to Binary

To convert the decimal number 170 into binary form, we can use the method of successive division by 2. The binary system is a base-2 number system that represents numeric values using two symbols: 0 and 1.

Steps for Conversion

  1. Divide the number by 2 and record the remainder.
  2. Continue dividing the quotient by 2 until you reach 0.
  3. The binary equivalent is read from the bottom remainder to the top.

Example Calculation

Let's apply this to the number 170:

  • 170 ÷ 2 = 85, remainder 0
  • 85 ÷ 2 = 42, remainder 1
  • 42 ÷ 2 = 21, remainder 0
  • 21 ÷ 2 = 10, remainder 1
  • 10 ÷ 2 = 5, remainder 0
  • 5 ÷ 2 = 2, remainder 1
  • 2 ÷ 2 = 1, remainder 0
  • 1 ÷ 2 = 0, remainder 1

Now, reading the remainders from bottom to top, we get 10101010. Therefore, 170 in binary form is 10101010.


Learn more about Binary Conversion here:

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