What is the range of decimals that 8-bit two’s complement can represent? What is the range of decimals that 12-bit two’s complement can represent? Please explain why. 5. How much data can we store on a 4 K-Byte memory chip?

Building Common Ground and Trust Using Evidence

2.2 Exercises
For questions 1 – 3, answer each one for the case of a two’s complement number and an unsigned number, indicating if it cannot be answered with a specific representation.
1. What is the largest integer that can be represented with 8 bits? How many bits do
you need to represent the largest integer + 1?
2. How do you represent the numbers 8, -8, 200, and -200 ?
3. Is it possible to use 8 bits to represent the number 277? Is it possible to use 8 bits to
represent the number -277?  explain why.
4. What is the range of decimals that 8-bit two’s complement can represent? What is the range of decimals that 12-bit two’s complement can represent? explain why.
5. How much data can we store on a 4 K-Byte memory chip?

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