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This exam covers key concepts in computer architecture, including binary arithmetic, floating-point representation, and circuit design. Understanding the operations of various algorithms and components like ALUs and buse…
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Explain the IEEE-754 standard for floating point representation. Express (214.175)10 in all the IEEE-754 models.
IEEE-754 defines formats for floating point representation; (214.175)10 can be expressed in single and double precision formats.
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Describe the derivation procedure of Look Ahead Carry Adder by an example with the help of a block diagram.
The Look Ahead Carry Adder uses generate and propagate signals to compute carries in parallel, improving speed.
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Explain floating point representation and its components. Explain floating point arithmetic operations.
Floating point representation consists of sign, exponent, and mantissa; operations include addition, subtraction, multiplication, and division.
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Perform floating point addition using IEEE 754 format for (5.75)10 + (-2.5)10.
The result of the addition is calculated using the normalized IEEE 754 formats for both numbers.
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Show the multiplication process using the Booth algorithm, when the following binary numbers, (-3) X (-3) are multiplied.
Booth's algorithm multiplies using shifts and adds based on the sign of the multiplier.
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Design a 4-bit combinational incremental circuit using four full adder circuits.
The design involves connecting four full adders to increment a 4-bit binary number.
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Explain 2-bit by 2-bit Array multiplier. Draw the flowchart to divide two numbers in signed magnitude form.
A 2-bit by 2-bit Array multiplier uses an array of AND gates and adders to perform multiplication.
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Explain the design of an Arithmetic and Logic Unit. Describe various arithmetic and logical operations performed by ALU.
An ALU performs arithmetic operations like addition and subtraction, and logical operations like AND and OR.
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Perform the division process of 0111 by 0011.
The division process results in a quotient of 0011 and a remainder of 0000.
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Perform 2's complement subtraction of a smaller number (11011) from a larger number (11100).
The result is 00001.
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Register A holds the binary value 1111010. What is the register value after the arithmetic shift right?
The value after shift right is 11111010.
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Starting from the initial number 10011101, determine the register value after the arithmetic shift left, and state whether there is an overflow.
The value is 00111010, and there is no overflow.
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What is the restoring method in the division algorithm?
It is a method of division that restores the dividend if the subtraction results in a negative value.
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Perform the following operation on signed numbers using 2's complement method: (46)10 + (-27)10.
The result is (19)10 in 2's complement.
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What is a System Bus? Discuss about its types.
A system bus is a communication system that transfers data between components; types include data bus, address bus, and control bus.
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