a) How many bits is needed to distinctly address 226KB in a byte addressable
Memory?
b) Compute the 1110102 + 1100102 in signed magnitude form.
d) Compute ADBE16 - 5AF416 using 2’s complement arithmetic
A2
a) Compute the value of 6510-8610 using 8-bit sign magnitude in binary
b) Compute the value of 7562768+E7BAD16-E5ACF16 in 15’s complement
c) Compute the value of 7510-4510 using 7-bit 2’s complement sign magnitude
d) Compute 65710+34510+86510 in BCD leaving your final answer in decimal
e) Express F(X,Y,Z,W)= Σm ( 0,2,8,10) as a sum of Minterms and construct the logic
circuit diagram for the minimal SOP
A3
a) Convert the following word problem into a logic working and design a circuit diagram
for the resultant Boolean function. The light bulb (L) is ON if switch A (A) is OFF and
switch B (B) is ON and either switch B (B) is OFF, or switch (C) is ON.

b) The computation of the weight of a new genome for DNA sequencing at Zizi research
lab was done based on a decimal system scheme. The computation of the new genome involves choosing a two (2)-digit number such that the ones (unit) digit of the number exceeds the tens (10) digit by a 3 and the product of the number and the sum of its digits amounts to 175.
i) Compute the weight of the new genome in decimal scheme.
ii) The DNA sequencing operates in Hexadecimal scheme, hence compute the final weight of (i) above in Hexadecimal scheme
A4
a) Explain the significance of the GPU in the in the design of modern computer systems
b) Is it possible of designing CMOS with ROM technology? Support your claim
c) How does the DIMM memory technology offer better performance over the SIMM memory technology
d) Explain how the memory hierarchy helps in solving the design constraint of computers’ memory
e) Explain the difference between the SCSI and SAS storage interface technologies and
state how their mode of transmission impact performance