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Assume unsigned binary numbers and the existence of a logical right shift operation represented by the symbol >>. The >> operation moves bits to the right by a given number of positions. The vacant high-order bits are zeroed, while the low-order bits are discarded. For example, 1100 >> 2 will produce the result 0011, and 100111 >> 3 will produce 000100. Explain how you can use a logical right shift operation to divide a number by a power of two.

Are you asking how 1100 >> 2 is the same as 12/4? Just think about it for a second. In binary each digit represents a power of two. The power is the same as the digit place. So if say the number is 10000 = 16 = 2^4, the one is in the 4th digit, you shift that number by 1 it becomes 01000 = 8 = 2^3. By reducing the power you are dividing the number by 2 each time.

>>6735301 Binary is a base two number system, by right shifting the bits you are essentially dividing that number by two^(number of right shifts). Kind of like in base 10 when you move the significant digit to the right you get a division by 10. 100 becomes 010 which is 10, or a division by 10^1.

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