Reg No.:

00000CS 203121902

Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

Third semester B.Tech examinations (S) September 2020

Course Code: 03

Course Name: SWITCHING THEORY AND LOGIC DESIGN

Max. Marks: 100

1 (a)
(b)

2 (a)
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3 (a)
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4 (a)
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5 (a)
(b)

PARTA
Answer all questions, each carries 3 marks.

Pages: 2

Express each decimal number as an 8-bit number in the 2’s complement form

i) +101 ii) ‏5ھ‎
‎Given V(224), =(13);, then what 15 the value of r?
If (73), =(54)+ then what are the possible values of x and y?
The 16-bit 2's complement representation of an integer is

1111 1111 1111 0101. What is its decimal representation?

What is the result of the operation (10111) *(1110)) in hexadecimal.
Perform (110101)) -(111111)) by using 2's complement method.
Prove the Boolean identities using laws of Boolean algebra
1) xt+x'y=x+y 11) ಎಇ ಜೂ"
Express the following functions:
i) FI=AB+BD' in sum of Minterms form.
11) F2A=AB+B’C in product of Maxterms form.
PART ‏جا‎
‎Answer any two full questions, each carries 9 marks.

The value of a float type variable is represented using the single-precision 32-bit

floating point format IEEE-754 standard that uses 1 bit for sign, 8 bits for biased

exponent and 23 bits for mantissa. A float type variable X is assigned the

decimal value of -14.25. What is the representation of X in hexadecimal

notation?
The following bit pattern represents a floating point number in

IEEE 754 single precision format

1 10000011 101000000000000000000000. What is the value of the number in

decimal form?

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Duration: 3 Hours

Marks
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