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.
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• The font color should be preferably black and font size 12 Times New Roman.

#### Marks: 20

##### 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

##### Sol:
ABCAÅBA/C/
(A/ + C/)
(A/+B)(A/ + C/Å(A/+B)
(AÅB).((A/ + C/Å(A/+B))
0000111100
0010101100
0101111100
0111101100
1001011010
1011000000
1100011100
1110000111
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