Objective:
 To understand Number System
 Number System conversion
 To develop a truth table for logic operation.
Note:
 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.
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 
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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