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Nptel Digital Circuits - Week 2 Solutions


 








ANSWER : C

The minterms of AB +ACD are:

a)

ABCD + ABCD + ABCD + ABCD + ABCD

b)

ABCD + ABCD + ABCD + ABCD + ABCD

c)

ABCD + ABCD + ABCD + ABCD + ABCD

d)

ABCD + ABCD + ABCD + ABCD + ABCD



Find the sum of 1210 and 1.2510 using the revised 14-bit simple floating point model.

a) 0 10100 11000000

b) 0 10100 00010100

c) 0 10100 11010100

d) 0 11000 11000110


Express the Boolean expression (A+B)(A+C) in Standard Sum of Products (SOP) form or Canonical SOP form.

a) (A+B+C).(A+B'+C')(A+B+C)

b) (A+B+C).(A+B+C')(A+B'+C)

c) (A+B+C').(A+B+C')(A+B'+C')

d) (A+B+C). (A+B+C') (A'+B'+C')


Decimal equivalent of the single-precision floating point number (11000000101000...00) is

a) -5.05

b) -5.02

c) -5.0

d) -5.1


A floating point (FP) number is said to be normalized, if the most significant bit of the mantissa is.................

a) 1

b) 0

c) -1

d) 2


Using the Boolean algebra, what is the simplified form of the given expression AB + ABC+ AB(D+E)?

a) AB

b) ABCD

c) A

d) ABC


Which of the following expression is in the Sum Of Products (SOP) form?

a) (A+B) (C+D)

b) (A) - B (CD)

c) (A-C)(B+D)

d) AB + CD


Which of the following expression is in the Sum Of Products (SOP) form?

a) (A+B) (C+D)

b) (A) - B (CD)

c) (A-C)(B+D)

d) AB + CD


Give the following binary number in 32-bit (single precision) IEEE -754 format:

00111110011011010000000000000000

The decimal value closest to this floating-point number is

a) 1.45 *101

b) 1.45 * 10-1

c) 2.31 * 10-1

d) 2.31* 101


Express (32) 10 in the simplified 14-bit floating-point model.

a) 00011010000000

b) 00010111000000

c) 01001100000000

d) 01001010001000


f(a,b,c,d) = IIM(0,1,2,4,5,6,8,9,10) is max term representation of a boolean function F(a,b,c,d). Find the min term representation?

a) Em(3,7,11,12,13,14,15)

b) Em(3,7,11,12,14,15)

c) Em(3,7,10,11,12,13,14,15)

d) Em(3,7,11,12,13,14,)


For the given Boolean function F (x, y, z) = (0, 2, 4, 5, 6) simplified output will be

a) F = Z+XY

b) F = Z+XY

c) F= Z+XY

d) F=Z+XY


A+ A B+ABC + ABCD simplifies to

(a) A +B

(b) A + B

(c) A. B

(d) A


What is the decimal value of the floating-point number C1D00000 (hexadecimal notation)? (Assume 32-bit, single precision floating point IEEE representation)

(a) 28

(b)-15

(c) -26

(d) 28

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