GATE CSE
Computer Organization
Computer Arithmetic
Previous Years Questions

## Marks 1

The decimal value $$0.5$$ in $$IEEE$$ single precision floating point representation has
In the $$IEEE$$ floating point representation the hexadecimal value $$0\, \times \,00000000$$ corresponds to
What is the result of evaluating the following two expressions using three $$-$$ digit floating point arithmetic with rounding? \eqalign{ & \l... In2’s$$complement addition, the overflow An$$N$$-bit carry look ahead adder, where$$N$$is a multiple of$$4,$$employs$${\rm I}cs74181$$($$4$$bit$$ALU$$) and$$74182$$($$4$$bit c... Both’s algorithm for integer multiplication gives worst performance when the multiplier pattern is ## Marks 2 The value of a float type variable is represented using the single-precision$$32$$-bit floating point format of$$IEEE-754$$standard that uses$$1$$... In a look$$-$$ahead carry generator, the carry generate function$${G_i}$$and the carry propagate function$${P_i}$$for inputs,$${A_i}$$and$${B...
Given two three bit number $${a_2}{a_1}{a_0}$$ and $${b_2}{b_1}{b_0}$$ and $$c,$$ the carry in the function that represents the carry generate functi...
The data given below. Solve the problems and choose the correct answer. Mantissa is a pure fraction in sign - magnitude form. The decimal number $$... The data given below. Solve the problems and choose the correct answer. The normalized representation for the above format is specified as follows....$$A4$$-bit carry look ahead adder, which adds two$$4$$-bit numbers, is designed using$$AND,OR,NOT,NAND,NOR$$gates only. As... The following is a scheme for floating point number representation using$$16$$bits. Let$$s, e,$$and$$m$$be the numbers represented in binary i... Sign extension is the step in The number of full and half-adders required to add 16-bit numbers is: Booth’s coding in$$8$$bits for the decimal number –$$57$$is: Consider the following floating point number representation The exponent is in$$2’s complement representation and mantissa is in the sign magnitu...

## Marks 5

State the Both's algorithm for multiplication of two numbers, Draw a block diagram for the implementation of the Booth's algorithm for determining the...
EXAM MAP
Joint Entrance Examination