6. The octal number 326.4 is equivalent to

- Option : C
- Explanation : To solve this question we will apply traditional approach:

(326.4)_{8}= 8^{2}* 3 + 8^{1}* 2 + 8^{0}* 6 . 8^{-1}* 4 = ( 214.5)_{10}is decimal representation.

For hexadecimal representation group binary sequence of (214.5) = (011010110.100)2 into group of 4.

i.e. 0 1101 0110. 1000 (0 can be padded after decimal) this is equivalent to- (D6.8)_{16}.

So, option (C) is correct.

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7. Which of the following is the most efficient to perform arithmetic operations on the numbers?

- Option : C
- Explanation :

Sign's magnitude is only for sign convention (MSB is 1 then no is negative and if 0 then no is positive).

Main difference is that while adding numbers using 1′ s complement, we first do binary addition, then add in an end-around carry value.

But, 2′ s complement has only one value for zero, and doesn’t require carry values.

9’s complement of a decimal number is the subtraction of it’s each digits from 9.

Like 1’s complement, 9’s complement is used to subtract a number using addition.

2's complement representation is unambiguous for 0 (i.e., only positive 0), but Sign-magnitude, 1’s complement and 9’s complement are ambiguous representation for 0 (i.e., both positive and negative 0).

So, option (C) is correct.

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- Option : A
- Explanation :

F is EXCLUSIVE-OR between X and Y. So, option (A) is correct.

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List I | List II |

a. Controlled Inverter | i. a circuit that can add 3 bits |

b. Full adder | ii. a circuit that can add two binary numbers |

c. Half adder | iii. a circuit that transmits a binary word or its 1's complement |

d. Binary adder | iv. a logic circuit that adds 2 bits |

a | b | c | d | |

(1) | iii | ii | iv | i |

(2) | ii | iv | i | iii |

(3) | iii | iv | i | ii |

(4) | iii | i | iv | ii |

- Option : D
- Explanation :

Controlled Inverter is a circuit that transmits a binary word or its 1’s complement. Full adder is a circuit that can add 3 bits. Half adder is a logic circuit that adds 2 bits. Binary adder is a circuit that can add two binary numbers. So, option (D) is correct.

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