UNIT-VIII
1.Express the number in IEEE 32-bit floating-point format
a. 0 1000 0111 1000 0000 0000 0000 0000 000
b. 0 0000 1000 1000 0000 0000 0000 0000 000
c. 0 0000 1000 1100 0000 0000 0000 0000 000
d. 0 1000 0111 1100 0000 0000 0000 0000 000
2.Express the number -1/32 in IEEE 32-bit floating point format
a. 1 0111 1010 0000 0000 0000 0000 0000 000
b. 1 0000 0001 0000 0000 0000 0000 0000 000
c. 1 0000 0001 1000 0000 0000 0000 0000 000
d. 1 0111 1010 1000 0000 0000 0000 0000 000
3.Use IEEE single-precision floating-point numbers to compute the (32) X(16) .
a. 0 0000 0111 0000 0000 0000 0000 0000 000
b. 0 1000 1000 0000 0000 0000 0000 0000 000
c. 0 0111 0111 0000 0000 0000 0000 0000 000
d. 0 1000 1000 1000 0000 0000 0000 0000 000
4.Use IEEE single-precision floating-point number to compute (32) ÷ (16) .
a. 0 0000 0000 1000 0000 0000 0000 0000 000
b. 0 0000 0001 0000 0000 0000 0000 0000 000
c. 0 1000 0000 0000 0000 0000 0000 0000 000
d. 0 1000 0000 1000 0000 0000 0000 0000 000
5.Use IEEE single-precision floating-point numbers to compute (147.5) +(0.25) .
a. 0 1000 0110 0010 0111 1000 0000 0000 000
b. 0 1000 0110 0010 0111 0000 0000 0000 000
c. 0 0111 1101 0010 0111 1000 0000 0000 000
d. 0 0111 1101 0010 0111 0000 0000 0000 000
6.To perform multiplication of two signed 2's complemented numbers using Booths
algorithm, when the multiplier bit is identical to the previous multiplier bit
a. The multiplicand is subtracted from partial product
b. The multiplicand is added to the partial product
c. The multiplicand is multiplied with partial product
d. The partial product does not change
7.Which of the following statement(s) is(are) correct?
a. No overflow can occur in the addition operation of binary numberts
b. Division operation may never result in a quotient with an overflow in binary
division
c. An overflow can be detected in addition whenever the carry into the sign bit position
and the carry out of the sign bit position are not equal in binary addition
d. Over flow can occur in the multiplication operation of binary numbers
8.Which of the following statement(s) is(are) in correct?
a. A divide overflow condition occurs if the high-order bits of the dividend constitute a number
greater than or equal to the divisor
b. Multiplication of two n-digit numbers in base r gives a product no more than 2n digits in length
c. An overflow canbe defected in addition whenever the carry into the sign bit position and the
carry out of the sign bit position are not equal in binary addition.
d. Binary division operation may never result in a quotient overflow.
9.Which of the following statement(s) is(are) correct?
a. Booth's algorithm treats both positive and negative 2's complement n-bit operands uniformly
b. Booth's algorithm treats both positive and negative 2's complement n-bit operands uniformly
&There can be no mantissa overflow after a multiplication operation in floating point representation
c. There can be no mantissa overflow after a multiplication operation in floating point
representation
d. Booth's algorithm is for unsigned multiplication only
10.What is the sum of in BCD?
a. 0000 0001 1000
b. 0000 1100 1000
c. 0000 0010 1000
d. 0001 0001 1000
11.In performing floating-point addition, or subtractions , if two exponents are not equal
then
a. mantissa having larger exponent is shifted to the left
b. mantissa having larger exponent is shifted to the right
c. mantissa having smaller exponent is shifted to the left
d. mantissa having smaller exponent is shifted to the right
12.What value is represented by the following IEEE single precision floating-point
number
1 0111 1010 1000 0000 0000 0000 0000 0000 000
a. -84
b. -0.03125
c. -.0.046875
d. -0.46875
13.Multiplication of two floating point numbers requires
a. Addition of mantissas and multiplication of exponents
b. Addition of exponents and multiplication of mantissas
c. Multiplication mantissas only
d. Addition of exponents only
14.Division of two floating point numbers requires
a. Subtraction of mantises and division of exponents
b. Subtraction of exponents and division of mantissas
c. Subtraction of exponents only
d. Division of mantissas only
15.What is the signed binary product of in binary?
a. 1101110001
b. 0010001111
c. 0100010001
d. 1000010001
16.Which of the following statement(s) is(are) correct?
a. For a fixed format, a larger exponent base gives a greater range of expressible values
at the expense of less precision.
b. For a fixed format, a larger exponent base gives a greater range of expressible values and good
precision.
c. For a fixed format, a larger exponent base gives good precision but lesser range of expressible
values.
d. Precision or range of expressible numbers does not depend on exponent.
17.In floating point arithmetic operation, for each arithmetic operation
a. the results will be normalized
b. the results will not be normalized
c. the results will be in BCD
d. the result will be in 2s complement form
18.In decimal multiplication the sequence counter (SC) is set to
a. number of bits in multiplier
b. number digits in multiplier
c. number of bits in multiplicand
d. number digits in multiplicand
19.In Decimal Arithmetic operations decimal number are stored in
a. 1s complement form
b. 2s compliment form
c. BCD form
d. Signed magnitude form
20.Decimal arithmetic operations use
a. Half adders
b. Full adders
c. BCD adders
d. Parallel adders
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