Question

1. Represent the following numbers in one’s complement form
(i) + 7 (ii) – 8
2. Solve the following using the 8 bit 1’s complement arithmetic.
(i) Subtract 14 from 25
(ii) Add -25 to +14

3. Using K-map, simplify the following expression to (a) sum-of-products and (b) products-
of-sums:

x'z' + y'z' + yz' + xy
4. Implement the function F(A,B,C) = A’B’C+ABC+A’BC’+AB’C’ using two 2:1 MUX
5. Consider the minimization of the following functions and find its essential prime Implicants:
a. F (A, B, C, D) = ∑ m (0, 1 ,6, 7, 8, 9, 13, 14, 15)
b. F (A, B, C, D) = ∑ m (6, 7, 8, 9) + ∑ d (10, 11, 12, 13, 14, 15)
6. Simplify the following expressions to Sum of Products
(a) ABC′+AB'D+BCD to SOP form
(b) AC'D'+C'D+AB'+ABCD to POS form
7. Design a two-bit multiplier using decoder.
8. What is CLA adder? Define the terms 'carry propagate' and 'carry generate'. The
propagation delay of EX-OR gate is 10ns and that of OR and AND gate is 5ns. Find the
propagation delay of a CLA Adder.
9. Write your full name in
(i) ASCII code (ii) EBCDIC code
10. Represent the decimal number 2231 in (i) BCD, (ii) excess-3 code, (c) 2421 code, and (d)
6311 code.

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Answer 1

Answer:

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