1)a) Describe two kinds of complements for each base-r system with suitable example.
(b) Describe switching Circuits and Binary signals with suitable example.
2)(a) Execute the subtraction with the binary numbers given below by using 2’s complement and complement by straight subtraction.
(i) 11010 – 1101
(ii) 11010 – 1000
(b) Find out the odd-parity bit generated when message consists of ten decimal digits in the 8,4,-2,-1 code.
3)(a) Write down the difference between canonical form and standard form? Describe which form is preferable when implementing the Boolean function with gates? Describe which form is obtained when reading a function from the Truth Table?
(b) Sum of all min-terms of a Boolean function of n variables is 1.
(i) Prove the above statement for n = 3
(ii) Propose a procedure for a general proof.
4) Simplify the given Boolean functions by means of tabulation method.
(i) F (A, B, C, D, E, F, G)=(20, 28, 38, 39, 52, 60, 102, 103, 127)
5)(a) Illustrate how full – adder can be converted to full- subtractor with addition of one invertor circuit.
(b) Execute the Boolean function F = AB’CD’ + A’BCD’ + A’BC’D by using exclusive OR and AND gates.