3. Using arithmetic shifting, perform the following operations assuming numbers are represented in two's complement representations....

 

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3. Using arithmetic shifting, perform the following operations assuming numbers are represented in two's complement representations. Indicate for each operation whether there is overflow or not with a justification. (a) (1 point) Multiply the value 0010101 by 8 (b) (1 point) Divide the value 10011001 by 4 4. Assume a floating-point representation on 14-bits including a sign bit, 5 bits for the exponent with a bias of 15, and a normalized significand on 8 bits (in the format 0.1xxx..., where the 0. is implied). (a) (1 point) Represent the number -20.25 in this format. (b) (1 point) Represent the number 0.15 in this format. 3. Using arithmetic shifting, perform the following operations assuming numbers are represented in two's complement representations. Indicate for each operation whether there is overflow or not with a justification. (a) (1 point) Multiply the value 0010101 by 8 (b) (1 point) Divide the value 10011001 by 4 4. Assume a floating-point representation on 14-bits including a sign bit, 5 bits for the exponent with a bias of 15, and a normalized significand on 8 bits (in the format 0.1xxx..., where the 0. is implied). (a) (1 point) Represent the number -20.25 in this format. (b) (1 point) Represent the number 0.15 in this format.

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