Reference no: EM13934779
1. Write a program in MIPS assembly that would ask user for number of Fibonaci numbers to be generated and will store it in $s0. The program will push that many number of Fibbonacci sequence into stack. Include complete program.
2. Write a program which defines total m and n integer numbers in pre-defined data area 'var_a' and 'var_b' in sorted order. The number m and n are stored in a location var_m and var_n. The program implements a merge sort between set_a and set _b and result of the sort (i.e. m+n unsigned integer in ascending sorted order) is stored in another predefined area 'var_c'. Include complete program.
3. Using 2's complement binary arithmetic
(a) Convert numbers a = 610 and b = -310 into 4 - bit two's compliment binaries.
(b) Find product of a and b using "paper and pencil" method, i.e. first calculating partial products and then performing summation of partial products. Assume that a and b are 4- bit two's compliment binaries. Show all necessary steps.
(c) Perform (i) zero- extension and (ii) sign- extension of numbers a and b to get 8- bit binaries. You should report 4 numbers.
4. Derive truth tables for the following Boolean functions.
(a) F(x, y, z) = (xy)' + z
(b) F(x, y, z) = (x'yz') + (xy'z)
5. Prove by Boolean algebraic manipulation that the following expressions are valid.
(a) x'y'z' + xy'z' + x'yz' + xyz' = z'
(b) (a'+c)(a'+d')(b+c)(b+d') = a'b + cd'
6. Using K-Map technique perform the following.
(a) Simplify the following function:
f (A, B, C, D) = Σ m (1, 2, 3, 4, 6, 7, 9, 11, 12, 13, 14, 15)
Show all the "prime-implicants" and "Essential prime implicants"
(b) Find a minimum SOP expression for:
f (w, x, y, z) = Σ m (0, 5, 10, 15) + d(2, 7, 8, 13)
Show all the "prime-implicants" and "Essential prime implicants"
7. Design and implement a digital circuit which will detect a 4 bit single digit numbers. Implement the circuit with NAND only logic gate. You need to show the schematic diagram for the final logic circuit along with all the steps to derive the logic equation of the implemented circuit.
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What is molecular reasons for this functional difference
: Diagram the pathway of Glycolysis from glucose to pyruvate, giving structures and names of all pathway intermediates (enzyme mechanisms are not required) and names of enzymes (no abbreviations). Indicate where ADP, ATP, Pi, NAD+, or NADH is a subs..
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Analyze the role of professional regulation
: Analyze the role of professional regulation, the standard of care, and codes of ethics in healthcare providers' accountability to self, their profession, their patients, and the public
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Scientific knowledge relating to altered health states
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Policy as result of failure to correct fire hazard
: Bill Blum insured his hardware store with a fire insurance policy for $88,000 at a cost of $.84 per $100. Ten months later his insurance company cancelled his policy as a result of failure to correct a fire hazard. The cost of the policy to Bill was:
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Using 2''s complement binary arithmetic
: Write a program in MIPS assembly that would ask user for number of Fibonaci numbers to be generated and will store it in $s0. The program will push that many number of Fibbonacci sequence into stack. Include complete program.
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Why is a pc based dbms like ms access often suggested
: Why is a PC based DBMS like MS Access often suggested as a good candidate
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The cost of the premium to howard
: Howard Hane had taken out a $130,000 fire insurance policy for his new restaurant at a rate of $.82 per $100. Nine months later, Howard canceled the policy and decided to move his store to a new location. The cost of the premium to Howard is (use the..
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Issuing a tax-exempt bond
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Write a program to evaluate the polynomial
: So far all the programs that we run on SPIM should be run on bare machine which has no user convenience. My slides on the 4th lecture notes show what settings you should choose. I am also attaching a screenshot here that shows the settings window.
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