A $16$-bit microprocessor has twenty address lines ($A_{0}$ to $A_{19}$) and $16$ data lines. The higher eight significant lines of the data bus of the processor are tied to the $8$-data lines of a $16$ Kbyte memory that can store one byte in each of its $\text{16K}$ address locations.The memory chip should map onto contiguous memory locations and occupy only $16$ Kbyte of memory space. Which of the following statement$\text{(s)}$ is/are correct with respect to the above design?
- If the $16$ Kbyte of memory chip is mapped with a starting address of $\text{80000H}$, then the ending address will be $\text{83FFFH}$
- The active high chip-select needed to map the $16$ Kbyte memory with.a starting address at $\text{F0000H}$ is given by the logic expression $\left ( A_{19} \cdot A_{18} \cdot A_{17} \cdot A_{16}\right )$
- The $16$ Kbyte memory cannot be mapped with contiguous address locations with a starting address as $\text{0F000H}$ using only $A_{19}$ to $A_{14}$ for generating chip select
- The above chip cannot be interfaced as the width of the data bus of the processor and the memory chip differs