Given a binary number X = 10010101010101001111, find the binary representation of the integer part of X / 2 (X divided by 2).
Question
Given a binary number X = 10010101010101001111, find the binary representation of the integer part of X / 2 (X divided by 2).
Solution 1
The binary representation of the integer part of X / 2 is obtained by shifting the bits of X one position to the right. This is equivalent to dividing the number by 2 in binary.
So, if X = 10010101010101001111, then X / 2 = 1001010101010100111.
The last digit (1) is removed in the division by 2.
Solution 2
The binary representation of the integer part of X / 2 is obtained by shifting the bits of X one position to the right. This is equivalent to dividing the number by 2 in binary.
So, if X = 10010101010101001111, then X / 2 = 1001010101010100111.
The last digit (1) is removed because binary division by 2 is equivalent to removing the least significant bit.
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