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Task
Answer the following questions:
1. Identify the following statements as TRUE or FALSE. Give brief explanation for each of them.
a. An AND operator in Boolean algebra is the same as an OR operation with its inputs complemented.b. In Boolean Algebra, the following is always true (regardless of the values for Boolean variables A and B): (A'+ B)'= BA'c. In Boolean Algebra, the following is always true (regardless of the value of Boolean variable X): X+X+X+X+...+X=Xd. Two's complement system can accommodate more values compared to one's complement representation for same number of bits used.e. A signed-magnitude integer representation includes more negative numbers than it does positive ones.f. MARIE system's data registers can hold values up to 65536.
2. Identify the following register transfer statements as legal or not legal for the data-path used in MARIE. If it is not legal, rewrite it as a sequence of micro-operations to perform the indicated task.a. IR ← MARb. MBR ← M[PC]c. AC ← AC + PCd. MAR ← PC
3. Given the 8-bit binary number: 1 0 0 1 1 1 0 1What decimal number does this represent if the computer uses:a. 8 bit signed-magnitude representationb. 8 bit unsigned binary representationc. 8 bit signed-2's complement representation
4. Decipher the following MARIE machine language instructions (write the assembly language equivalent).a. 0010000000000111b. 1001000000001011
Criteria HD (85%-100%) Comprehension of concepts of data representation and essential parts of computers and their functionalities Explanations are comprehensive and correctly interpret all components required by eac question. All statements were identified correctly as true/false, or legal/illegal and explanations were provided accurately. Using appropriate methods of implementation Accurately implements appropriate methods to arrive at accurate answers. All steps are shown and all calculations ar correct.
1. Please compose the answers in a document file (doc or docx format). Please do not submit in pdf formats. Please upload the document in the Turnitin within deadline. 2. The first page (cover page) of the document file should have the following information clearly mentioned: a. Your full name b. Your Student ID c. Subject Code (ITC161) d. Assessment item number and name (Assignment 2: Problem solving) 3. Each page should have page numbers in “page x of y” format (including the cover page). 4. You DO NOT need to provide any references for any of the questions.
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