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Computer Organisation

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Submitted By bikash01
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1. Analyse the von Neumann architecture, which is the basis for most digital computers today, with respect to the von Neumann bottleneck. [5 marks]

2. What are the limitations of Moore’s Law? Why can’t this law hold forever? Explain [4 marks]
Intel Founder Gordon Moore stated “The density of Transistors in an integrated circuit will double every year” There are physical and financial limitations. At the current rate of miniaturaturization, it would take about 500 years to put the entire solar system on a chip! Clearly, the limit lies somewhere between here and there. Cost may be the ultimate constraint. Rock’s Law, proposed by early Intel capitalist Arthur Rock is a corollary to Moore’s law. “The cost of Capital equipment to build semiconductors will double every year”
3. Using a "word" of 4 bits, list all of the possible signed binary numbers and their decimal equivalents that are representable in: [6 marks]
a. Signed magnitude
b. One's complement
c. Two's complement Signed Magnitude | One’s Complement | Two’s Complement | Decimal Equivalent | 0111 | 0111 | 0111 | +7 | 0110 | 0110 | 0110 | +6 | 0101 | 0101 | 0101 | +5 | 0100 | 0100 | 0100 | +4 | 0011 | 0011 | 0011 | +3 | 0010 | 0010 | 0010 | +2 | 0001 | 0001 | 0001 | +1 | 0000 | 0000 | 0000 | 0 | 1000 | 1111 | 0000 | 0 | 1001 | 1110 | 1111 | -1 | 1010 | 1101 | 1110 | -2 | 1011 | 1100 | 1101 | -3 | 1100 | 1011 | 1100 | -4 | 1101 | 1010 | 1011 | -5 | 1110 | 1001 | 1010 | -6 | 1111 | 1000 | 1001 | -7 |

4. Given the 8-bit binary number: 1 0 0 1 1 1 0 1. What decimal number does this represent if the computer uses: [5 marks]
a. signed-magnitude representation
b. signed-2's complement.
Solution:
Given; A 8-bit binary number 10011101 Find; a) Signed-magnitude representation b) Signed-2’s complement Known; In a signed binary representation the MSB is the sign

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