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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Q. How many minimum 2-input nor gates are needed to realize A+BC?

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