Q. In a two-level memory hierarchy, the access time of the memory is 12 nanoseconds and the access time of the main memory is 1.5 microseconds. The hit ratio is 0.98. What is the average access time of the two-level memory system?

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Q. Consider the following organization of main memory and cache memory.

Main memory: 64k ×16
Cache memory: 256 × 16

Memory is word addressable and block size of 8 words. Determine the size of tag field if the direct mapping is used for transforming data from main memory to cache memory.

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Q. A computer system has 4k – word cache organized in a block – set-associative manner, with 4 blocks per set, 64 words per block, memory is word addressable. The number of bits in the SET and WORD fields of the main memory address format is

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Q. Booth's coding in 8 bits for the decimal number −57 is:

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Q. What is the equivalent decimal representation for the following radix representation?

(34.44)₈

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Q. Find x & y values if the following equality is valid.

( X567 )₈ + ( 2YX5 )₈ = ( 71YX )₈

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Q. How many digits are required to represent 126 bit binary number in decimal?

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Q. Assuming all numbers are in 2’s complement representation, which of the following numbers is divisible by 11111011?

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Q. What is the result of evaluating the following two expressions using three-digit floating point arithmetic with rounding?

(113.+−111.)+7.51
113.+(−111.+7.51)

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Q. (1217)₈ is equivalent to

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Q. P is a 16 – bit signed integer. The 2’s complement representation of P is (F87B)₁₆. The 2’s complement representation of 8 * p is

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Q. Find the radix 5 representation for the following decimal representation:
(39)₁₀ = ( ) ₅

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Q. Find the value of radix r, with the following equality is matached.

√(21)ᵣ = (11)ᵣ

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Q. How many bits are needed to represent 20 digit decimal number in binary?

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Q. Consider the following subtraction and Identify the correct answer.

(C012.25)₄ – (10111001110.101)₈

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Q. Let A = 11111010 and B = 00001010 be two 8 – bit 2's complement numbers. Their product in 2's complement is

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Q. The range of integers that can be represented by an n – bit 2's complement number system is

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Q. The switching expression corresponding to f(A, B,C, D) = Σ (1, 4, 5, 9, 11,12) is

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Q. What is the maximum number of different Boolean functions involving n boolean variables?

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Q. How many Boolean functions are possible with 2 trinary variables?

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