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# ITC544 Computer Organisation And Architecture 2

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• Course Code: ITC544
• University: Charles Sturt University
• Country: Australia

## Questions:

### Assignment Title: Data Representation & Digital Logic

#### Q1.

(a) Given a tiny computer that has a word size of 8 bits, what are the smallest negative numbers and the largest positive numbers that this computer can represent in each of the following representations?

I. One's complement
II. Two's complement
III. Signed magnitude
IV. Unsigned magnitude

(b) Convert the followings:

I. 0x5AB into Octal
II. 101101.101 into Decimal (Please notice that the number (101101.101) is in binary format and need to be converted to Decimal)
III. 12348 into Binary
IV. 679810 into Base 5 number
V. 976.6310 into Binary
VI. 1001001011 into Hexadecimal(Please notice that the number (1001001011) is in binary format and need to be converted to Hexadecimal )

VII. 10011110 (8-bit 2’s complement representation) to Decimal

#### Q2.

(a) Using basic Boolean algebra identities for Boolean variables X and Y, prove that X’(X+Y)+(XX+Y)(Y’+X)=Y+X. Please show all steps and mention the identities used.

(b) A subject has 4 assessments, such as Assignment, Blog, Discussion Forum and Quiz. In order to pass in the subject, a student must get as below:

• Assignment component must pass (50 or above)
• Any 2 more assessments must pass
• Fail otherwise

Construct a truth table and find the minimized Boolean function. Draw a circuit diagram for the Boolean function.

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