1
GATE CSE 2018
+2
-0.6
Consider the unsigned $$8$$-bit fixed point binary number representation below $${b_7}\,\,{b_6}\,\,{b_5}\,\,{b_4}\,\,{b_3}\,\,.\,\,{b_2}\,\,{b_1}\,\,{b_0}$$\$
where the position of the binary point is between $${b_3}$$ and $${b_2}$$. Assume $${b_7}$$ is the most significant bit. Some of the decimal numbers listed below cannot be represented exactly in the above representation:
$$\,\,\,\,\,\,\,\,\,\,\,\,\,$$ $$(i)$$ $$31.500$$ $$\,\,\,\,\,\,\,\,\,\,\,\,\,$$ $$(ii)$$ $$0.875$$ $$\,\,\,\,\,\,\,\,\,\,\,\,\,$$ $$(iii)$$ $$12.100$$ $$\,\,\,\,\,\,\,\,\,\,\,\,\,$$ (iv) $$3.001$$

Which one of the following statements is true?

A
None of $$(i), (ii), (iii), (iv)$$ can be exactly represented
B
Only $$(ii)$$ cannot be exactly represented
C
Only $$(iii)$$ and $$(iv)$$ cannot be exactly represented
D
Only $$(i)$$ and $$(ii)$$ cannot be exactly represented
2
GATE CSE 2015 Set 3
Numerical
+2
-0
Consider the equation $${\left( {43} \right)_x} = {\left( {y3} \right)_8}$$ where $$x$$ and $$y$$ are unknown. The number of possible solutions is ______________
3
GATE CSE 2004
+2
-0.6
Let $$A=1111$$ $$1010$$ and $$B=0000$$ $$1010$$ be two $$8$$-bit $$2's$$ complement numbers. Their product in $$2's$$ complement is
A
$$1100$$ $$0100$$
B
$$1001$$ $$1100$$
C
$$1010$$ $$0101$$
D
$$1101$$ $$0101$$
4
GATE CSE 2001
+2
-0.6
The $$2's$$ complement representation of $${\left( { - 539} \right)_{10}}$$ in hexadecimal is
A
$$ABE$$
B
$$DBC$$
C
$$DE5$$
D
$$9E7$$
GATE CSE Subjects
EXAM MAP
Medical
NEET