VU VICKY Virtual University Assignment Solution, Past Papers, Handouts and other material

Objective:

• To understand Number System
• Number System conversion
• To develop a truth table for logic operation.

Note: 

It should be clear that your assignment will not get any credit (zero marks) if:

• The assignment is submitted after the due date.
• The submitted assignment is other than .doc or .docx file.
• The submitted assignment does NOT open or file is corrupted.
• Please avoid submitting copied assignments; otherwise, such a case would be referred to the discipline committee.
• The font color should be preferably black and font size 12 Times New Roman.

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Questions:

 

Marks: 20

 

Question #1: 

Convert the following decimal numbers into equivalent binary numbers and then convert the binary answer back into equivalent decimal. Show all the steps of conversions:  3242

 

Sol:

I - Decimal to Binary Numbers: 3242

2	3242	Remainder
2	1621	0
2	810	1
2	405	0
2	202	1
2	101	0
2	50	1
2	25	0
2	12	1
2	6	0
2	3	0
	1	1

Remainders from Bottom to top: (110010101010)2 

II - Binary to Decimal Numbers: (110010101010)2

(110010101010)2 = 1x211 + 1x210 + 0x29 + 0x28 + 1x27 + 0x26 + 1x25 + 0x24 + 1x23 + 0x22 + 1x21 + 0x20

= 1x2048 + 1x1024 + 0x512 + 0x256 + 1x128 + 0x64 + 1x32 + 0x16 + 1x8 + 0x4 + 1x2 + 0x2

= 2048 + 1024 + 0 + 0 + 128 + 0 + 32 + 0 + 8 + 0 + 2 + 0

(110010101010)2= (3242)10

Question #2: 

Solve the given Boolean Expression by using truth table. (AÅB) . ((A/ + C/) Å (A/+B))

 

Sol:

A	B	C	AÅB	A/	C/	(A/ + C/)	(A/+B)	(A/ + C/) Å(A/+B)	(AÅB).((A/ + C/) Å(A/+B))
0	0	0	0	1	1	1	1	0	0
0	0	1	0	1	0	1	1	0	0
0	1	0	1	1	1	1	1	0	0
0	1	1	1	1	0	1	1	0	0
1	0	0	1	0	1	1	0	1	0
1	0	1	1	0	0	0	0	0	0
1	1	0	0	0	1	1	1	0	0
1	1	1	0	0	0	0	1	1	1

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