Given a binary number X = 11110110101010001111, find the binary representation of the integer part of X / 8 (X divided by 8).
Question
Given a binary number
X = 11110110101010001111, find the binary representation of the integer part of
X / 8 (X divided by 8).
Solution
To find the binary representation of the integer part of X / 8, we simply need to perform a right shift of 3 places on X. This is because dividing by 2^n in binary is equivalent to right shifting n places. Here, n is 3 because we are dividing by 8, which is 2^3.
So, we start with X = 11110110101010001111.
After right shifting 3 places, we get: 1111011010101000.
So, the binary representation of the integer part of X / 8 is 1111011010101000.
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