GATE CS 2021 : National Champion Quiz- 5 (App update required to attempt this test)

Consider two different machines, with two different instruction sets, both of which have a clock rate of 200 MHz. The following measurements are recorded on the two machines running a given set of benchmark programs :

Find the absolute difference of execution time of both the machines. _______ (in seconds)

A certain processor deploys a single-level cache. The cache block size is 8 words and the word size is 4 bytes. The memory system uses a 60-MHz clock. To service a cache miss, the memory controller first takes 1 cycle to accept the starting address of the block, it then takes 3 cycles to fetch all the eight words of the block, and finally transmits the words of the requested block at the rate of 1 word per cycle. The maximum bandwidth for the memory system when the program running on the processor issues a series of read operations is __________× 10⁶ bytes/sec.

Consider the following data path diagram.

Consider an instruction: The following steps are used to execute it over the given data path. Assume that PC is incremented appropriately. The Subscripts r and w indicate read and write operations, respectively.

1) R2_r, TEMP1_r, ALU_add, TEMP2_w 2. R1_r, TEMP1_w

3) PC_r, MAR_w, MEM_r 4. TEMP2_r, R0_w

5) MDR_r, IR_w

Which one of the following is the correct order of execution of the above steps?

Consider a 8-Byte long PC relative JMP instruction stored in word addressable memory of word size 16 bit. If starting address of the instruction is 434 in decimal, and -21 is present in the address field of the instruction. What is the branch address______.

In Flynn’s classification of computers, the vectors and array classes of machines belong to?

A machine has 24 bit instruction format. It has 32 - registers and each of which is 32 bit long. It needs to support 49 instructions. Each instruction has two register operands and one immediate operand . If the immediate operand is signed integer, the minimum value of immediate operand is ...........

Eigen value of inverse of matrix A is

The eigen vectors of the matrix is (are)

(i) (a, 0, )

(ii) (, 0, 0)

(iii) (0, 1, 1)

(iv) (0, , 0)

Suppose Y is distributed uniformly in the open interval (1, 6). The probability that the polynomial 3x² + 6xy + 3Y + 6 has only real roots is (rounded off to 1 decimal place) ________.

suppose there is two players Ram and Shyam who are throwing a pair of dice alternatively. Ram will win the game if he throws 6 before Shyam throws 5 and Shyam wins if he throws 5 before Ram throws 6. If Ram begins the play then probability of wining game by Ram is

The value of Lim_x->∞ 1⁵+2⁵+ …….+ n⁵/n⁶ is ____.(up to 3 decimal places)

Consider a function f(x) = √x²-9 in [3,5]. Which of the following is incorrect