Binary Arithmetic and Algorithms Quiz

Which of the following methods is used for adding two signed binary numbers? (CO2)

• Two's complement

• One's complement

• Signed magnitude representation

• Excess-3 representation

In signed binary subtraction, which of the following is true for two's complement representation? (CO2)

• The subtraction is performed by adding the two's complement of the number to be subtracted

• The subtraction is done by direct subtraction of the two numbers

• The two numbers are added without any modifications

• The operation is the same as unsigned subtraction

What is the primary advantage of the carry look-ahead adder over the ripple carry adder? (CO2)

• It reduces the number of logic gates required for addition

• It allows for faster addition by reducing carry propagation delay

• It uses fewer bits in the addition process

• It eliminates the need for a clock signal

Which of the following is a key advantage of Booth's algorithm in binary multiplication? (CO2)

• It can handle both positive and negative numbers efficiently

• It is simpler than traditional multiplication algorithms

• It minimizes the number of partial products

• It performs multiplication without using a multiplier

In Booth's algorithm, the multiplier is processed in pairs of bits. What is the result of a pair of bits '01'? (CO2)

• Add the multiplicand to the partial sum

• Subtract the multiplicand from the partial sum

• Do nothing

• Perform a logical AND operation

Which of the following describes the restoring division method? (CO2)

• After each subtraction, the remainder is restored to its original value if the result was negative

• The quotient is calculated by directly shifting and subtracting

• No restoring is done after a subtraction operation

• The division operation is done in parallel for both numerator and denominator

In the non-restoring division method, how is the remainder handled after a subtraction if the result is negative? (CO2)

• The remainder is reset to zero

• The remainder is negated

• The remainder is preserved and the next cycle continues

• The remainder is discarded

Which part of the IEEE 754 standard specifies the number of bits used to represent a floating point number? (CO2)

• Mantissa

• Exponent

• Sign bit

• Precision

How many bits are used in the single-precision representation of a floating point number in IEEE 754? (CO2)

• 64 bits

• 32 bits

• 16 bits

• 8 bits

Which of the following is true for a floating point number in IEEE 754 format? (CO2)

• The exponent is stored using sign and magnitude representation

• The mantissa includes an implicit leading 1 for normalized values

• The mantissa is stored in two's complement form

• The exponent is always positive