ASSIGNMENT - ASSIGNMENT#1 Name Hemanth Naidu Student id...

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ASSIGNMENT#1 Name: Hemanth Naidu Student id: 111-00-1275 E-mail id:[email protected] CHAPTER 1 1. Consider an arbitrary number system with the independent digits as 0, 1 and X. What is the radix of this number system? List the first 10 numbers in this number system. The radix of the proposed number system is ‘3’ The first 10 number system in this number system would be 0,1,X,10,11,1X,X0,X1,XX and 100 Question 1.6 a) 11 bits The largest binary integer that can be obtained with 11 bits is “ 11 11 11 11 111” Decimal equivalent=2 10 x1+2 9 x1+2 8 x1+2 7 x1+2 6 x1+2 5 x1+2 4 x1+2 3 x1+2 2 x1+2 1 x1+2 0 x1 = 1024+512+256+128+64+32+16+8+4+2+1 = 2047 b) 24 bits The largest binary integer that can be obtained with 24 bits is “ 11 11 11 11 11 11 11 11 11 11 11 11”
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Decimal equivalent=2 24 x1+2 23 x1+2 22 x1+2 21 x1+2 20 x1+2 19 x1+2 18 x1+2 17 x1+2 16 x1+2 15 x1+ 2 14 x1+2 13 x1+2 12 x1+2 11 x1+2 10 x1+2 9 x1+2 8 x1+2 7 x1+2 6 x1+2 5 x1+2 4 x1+ 2 3 x1+2 2 x1+2 1 x1+2 0 x1 =33554431.
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ASSIGNMENT - ASSIGNMENT#1 Name Hemanth Naidu Student id...

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