###### GATE 2006

October 23, 2023###### LPP

October 23, 2023# Number-Systems

Question 6 |

The octal representation of an integer is (342)_{8}. If this were to be treated as an eight-bit integer is an 8085 based computer, its decimal equivalent is

226 | |

-98 | |

76 | |

-30 |

Question 6 Explanation:

(342)

If this can be treated as 8 bit integer, then the first becomes sign bit i.e., ‘1’ then the number is negative.

8085 uses 2’s complement then

⇒ -30

_{8}= (011 100 010)_{2}= (1110 0010)_{2}If this can be treated as 8 bit integer, then the first becomes sign bit i.e., ‘1’ then the number is negative.

8085 uses 2’s complement then

⇒ -30

Correct Answer: D

Question 6 Explanation:

(342)

If this can be treated as 8 bit integer, then the first becomes sign bit i.e., ‘1’ then the number is negative.

8085 uses 2’s complement then

⇒ -30

_{8}= (011 100 010)_{2}= (1110 0010)_{2}If this can be treated as 8 bit integer, then the first becomes sign bit i.e., ‘1’ then the number is negative.

8085 uses 2’s complement then

⇒ -30

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