# GATE (Graduate Aptitude Test in Engineering) Electronics: Questions 58 - 60 of 1076

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## Question 58

Boolean Algebra, Minimization of Functions

Appeared in Year: 2004

### Question

MCQ▾

A Boolean function of two variables x and y is defined as follows:

Assuming complements of x and y are not available, a minimum cost solution for realizing using only 2-input NOR gates and 2- input OR gates (each having unit cost) would have a total cost of

### Choices

Choice (4)Response

a.

3 unit

b.

1 unit

c.

4 unit

d.

2 unit

## Question 59

Appeared in Year: 2008

### Question

MCQ▾

An 8085 executes the following instructions 2710 LXI H, 30Ao H 2713 DAD H 2414 PCHL All address and constants are in Hex. Let PC be the contents of the program counter and HL be the contents of the HL register pair just after executing PCHL. Which of the following statements is correct?

### Choices

Choice (4)Response

a.

PC = 30AoH

HL = 2715H

b.

PC = 6140H

HL = 2715H

c.

PC = 6140H

HL = 6140H

d.

PC = 2715H

HL = 30AoH

## Question 60

Appeared in Year: 2006

### Question

MCQ▾

A new Binary Coded Pentary (BCP) number system is proposed in which every digit of a base-5 number is represented by its corresponding 3-bit binary code. For example, the base-5 number 24 will be represented by its BCP code 010100. In this numbering system, the BCP code 10001001101 corresponds of the following number is base-5 system

### Choices

Choice (4)Response

a.

1324

b.

423

c.

2201

d.

4231

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