(a) Use an 8 bit binary representation for integer using signed 2’s complement notation. Use this representation to perform the following operations on decimal numbers:

(i) Add – 52 and 60

(ii) Subtract 20 – 100

Please indicate the overflow if it occurs.

(b) Convert the hexadecimal number F5B6D3 to binary and octal. (2
marks)

(c) Write your father’s name in ASCII using 8 bit code with
the leftmost bit always 0. Include a space

between names.

(d) Draw a logic diagram of a 2 to 4 line decoder with only NOR gate. Include an enable input E so that the circuit is enabled when E=1 and disabled when E=0. Also list the truth table.

(e) A sequential circuit has two D flip flops A and B, two inputs
x and y and one output z. Flip flops input equations and the circuit
output are as follows:

DA = x’y + xA

DB = x’B + xA

Z=B

(i) Draw the logic diagram of the table.

(ii) Tabulate the state table.

(f) Represent the number (55.5) 10 on a floating-point binary number
with 24 bits. The normalized fraction mantissa has 16 bits and the
exponent has 8 bits. (5 marks)

Q2: (a) Design a counter with the following repeated binary sequence:

0, 1, 2, 3, 4, 5, 6, 7, 8 using JK Flip Flop.

(b) Draw a pipeline configuration to carry out the following task:

(A_{i }+ B_{i} + C_{i} + D_{i}) (E_{i}
– F_{i}). List the contents of all the registers in
the pipeline for i = 1 through 6.

(c) Define the following terms, specify their use and mention the
characteristics of them:

(i) Pipeline (iv) RAID

(ii) Drive case (v) Von Neumann Computer

(iii) Latency time

(d) Compare and contrast between CD-ROM and DVD ROM.

Q3:(a) An 8-bit register contains the binary value 11100011. What is the register value after arithmetic shift right? Starting from the initial number 10011100 determine the register value after an arithmetic shift left and state whether there is an overflow?

(b) Simplify the following Boolean function in sum of products form
by means of a four variable K-map. Draw the logic diagram with (a)
OR-NAND gate (b) NOR gate.

F(a,b,c,d) = å (1, 3, 5, 6, 7, 9, 11, 14,
15)