1
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
The data given below. Solve the problems and choose the correct answer. GATE CSE 2005 Computer Organization - Computer Arithmetic Question 3 English

The normalized representation for the above format is specified as follows. The mantissa has an implicit preceding the binary (radix) point. Assume that only $$0's$$ are padded in while shifting a field. The normalized representation of the above $$\left( {0.239 \times {2^{13}}} \right)$$ is

A
$$0A$$ $$20$$
B
$$11$$ $$34$$
C
$$4D$$ $$D0$$
D
$$4A$$ $$E8$$
2
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
$$A$$ $$4$$-bit carry look ahead adder, which adds two $$4$$-bit numbers, is designed using $$AND,$$ $$OR,$$ $$NOT,$$ $$NAND,$$ $$NOR$$ gates only. Assuming that all the inputs are available in both complemented and uncomplemented forms and the delay of each gate is one time unit, what is the overall propagation delay of the adder? Assume that the carry network has been implemented using two-level $$AND$$-$$OR$$ logic.
A
$$4$$ times units
B
$$6$$ time units
C
$$10$$ time units
D
$$12$$ time units
3
GATE CSE 2003
MCQ (Single Correct Answer)
+2
-0.6
The following is a scheme for floating point number representation using $$16$$ bits. GATE CSE 2003 Computer Organization - Computer Arithmetic Question 8 English

Let $$s, e,$$ and $$m$$ be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. Then the floating point number represented is

$$\left\{ {\matrix{ {{{\left( { - 1} \right)}^s}\left( {1 + m \times {2^{ - 9}}} \right){2^{e - 31}},} & {if\,the\,{\mathop{\rm exponent}\nolimits} \, \ne \,111111} \cr {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0} & {otherwise\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \cr } } \right.$$

What is the maximum difference between two successive real numbers representable in this system?

A
$${2^{ - 40}}$$
B
$${2^{ - 9}}$$
C
$${2^{ 22}}$$
D
$${2^{ 31}}$$
4
GATE CSE 2002
MCQ (Single Correct Answer)
+2
-0.6
Sign extension is the step in
A
Floating point multiplication
B
Signed $$16$$ bit integer addition
C
Arithmetic left shift
D
Converting a signed integer from one size to another
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