Microsoft interview Questions asked for a electrical engineering student

1. Given a rectangular (cuboidal for the puritans) cake with a rectangular piece removed (any size or orientation), how would you cut the remainder of the cake into two equal halves with one straight cut of a knife ?

2. You're given an array containing both positive and negative integers and required to find the sub-array with the largest sum (O(N) a la KBL).
Write a routine in C for the above.

3. Given an array of size N in which every number is between 1 and N, determine if there are any duplicates in it. You are allowed to destroy the array if you like.

4. Write a routine to draw a circle (x ** 2 + y ** 2 = r ** 2) without making use of any floating point computations at all.

5. Given only putchar (no sprintf, itoa, etc.) write a routine putlon the prints out an unsigned long in decimal.

6. Give a one-line C expression to test whether a number is a power of 2. [No loops allowed - it's a simple test.

7. Given an array of characters which form a sentence of words, give an efficient algorithm to reverse the order of the words (no characters) in it.

8. How many points are there on the globe where by walking one mile south, one mile east and one mile north you reach the place where you started.

9. Give a very good method to count the number of ones in a 32 bit number. (caution: looping through testing each bit is not a solution)

10. What are the different ways to say, the value of x can be either a 0 or a 1. Apparently the if then else solution has a jump when written
out in assembly.
if (x == 0)
y =x
There is a logical, arithmetic and a datastructure soln to the above

Logic design:
1. Draw the transistor level CMOS #input NAND or NOR gate.After drawing it lot of qestions on that ckt will be asked.

2. Transistor sizing for given rise time and fall time. How do you size it for equal rise and fall time.

3. Given a function whose inputs are dependent on its outputs. Design a sequential circuit.

4. Design a finite state machine to give a modulo 3 counter when x=0 and modulo 4 counter when x=1.

5. Given a boolean equation minimize it.

6. Given a boolean equation draw the transistor level minimum transistor circuit.

7. What is the function of a D-flipflop, whose inverted outputs are connected to its input ?

8. What will you do if you want to drive a large capacitance ?

Layout related questions:
1. asked me to layout the 3 input nand gate.

2. Later he asked me to modify it to consume as much less space as
we can.

3. He also asked me about the transistor sizing.

1. He asked me to draw the cross section of an inverter and asked me
to show all the capacitances on it and reason for those capacitances.

2. Describe the latchup effect.

3. More about the tristate buffers.

3. What will be the voltage at the output node of a triostate buffer
in its high impedence state. He gave a waveform for the input and
asked me to draw the output waveform for that.

4. Posed a lot of questions on charge sharing problems and keeper

5. Asked me to draw the Id Vds curves for mosfet. Asked me to
explain the regions and some couses for that curve like channel
width modulation.

6. He asked me about the electron migration effect and methods to
avoid it.

7. Asked me to draw the dynamic logic of a particular gate and then
posed lots of tricky questions from the previous discussion.

8. He asked me to draw the 6 transistor contemporary sram cell and asked
me to explain how the reading and writing is done in it.

9. Something about trip point.
Computer Architecture Questions:
1. Explain what is DMA?
2. what is pipelining?

3. what are superscalar machines and vliw machines?

4. what is cache?

5. what is cache coherency and how is it eliminated?

6. what is write back and write through caches?

7. what are different pipelining hazards and how are they eliminated.

8. what are different stages of a pipe?

9. eplain more about branch prediction in controlling the control hazards

10. Give examples of data hazards with pseudo codes.

11. Caluculating the number of sets given its way and size in a cache?

12. How is a block found in a cache?

13. scoreboard analysis.

14. What is miss penalty and give your own ideas to eliminate it.

15. How do you improve the cache performance.

16. Different addressing modes.

17. Computer arithmetic with two's complements.

18. About hardware and software interrupts.

19. What is bus contention and how do you eliminate it.

20. What is aliasing?

21) What is the difference between a latch and a flip flop?

22) What is the race around condition? How can it be overcome?

23) What is the purpose of cache? How is it used?

24) What are the types of memory management

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