1
GATE CSE 2023
MCQ (Single Correct Answer)
+2
-0.67

Consider the IEEE-754 single precision floating point numbers P=0xC1800000 and Q=0x3F5C2EF4.

Which one of the following corresponds to the product of these numbers (i.e., P $$\times$$ Q), represented in the IEEE-754 single precision format?

A
0x404C2EF4
B
0x405C2EF4
C
0xC15C2EF4
D
0xC14C2EF4
2
GATE CSE 2022
MCQ (Single Correct Answer)
+2
-0.67

Consider three floating point numbers A, B and C stored in registers RA, RB and RC, respectively as per IEEE-754 single precision floating point format. The 32-bit content stored in these registers (in hexadecimal form) are as follows.

GATE CSE 2022 Digital Logic - Number Systems Question 9 English

Which one of the following is FALSE?

A
A + C = 0
B
C = A + B
C
B = 3C
D
(B $$-$$ C) > 0
3
GATE CSE 2020
MCQ (Single Correct Answer)
+2
-0.67
Consider three registers R1, R2 and R3 that store numbers in IEEE-754 single precision floating point format. Assume that R1 and R2 contain the values (in hexadecimal notation) 0x42200000 and 0xC1200000, respectively.
If R3 = $${{R1} \over {R2}}$$, what is the value stored in R3?
A
0x40800000
B
0x40800000
C
0xC8500000
D
0xC0800000
4
GATE CSE 2018
MCQ (Single Correct Answer)
+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
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