What is the binary equivalent of the decimal number 65?

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The correct binary equivalent of the decimal number 65 is represented as 01000001. This can be understood by converting the decimal number into binary format.

The binary system is a base-2 numeral system, which uses only two digits: 0 and 1. To convert a decimal number to binary, one technique is to divide the number by 2 and keep track of the remainders. For 65, the division gives the following sequence:

  1. 65 divided by 2 = 32 with a remainder of 1

  2. 32 divided by 2 = 16 with a remainder of 0

  3. 16 divided by 2 = 8 with a remainder of 0

  4. 8 divided by 2 = 4 with a remainder of 0

  5. 4 divided by 2 = 2 with a remainder of 0

  6. 2 divided by 2 = 1 with a remainder of 0

  7. 1 divided by 2 = 0 with a remainder of 1

Reading the remainders from bottom to top gives the binary representation of 65, which is 1000001. However, this 7-digit binary number

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