1) Design a combinational circuit with three inputs x, y, z, and three outputs a, b, and
c. When the binary input is 0, 1,2, or 3, the binary output is 1 greater than the
input. When the binary input is 4, 5, 6, or 7, the binary output is one less than the
input. (10 Marks)
2) Design a 4bits combinational circuit 2's complementer (the output generates the
2's complement of the input binary number).(10 Marks)
3) show that the characteristic equation for the complement output of a JK flip flop
is (10 Marks)
$Q'(t+1) = J'Q' + KQ$
4) A sequential circuit with two D flip flops A and B, two inputs x and y and one
output z is specified by the following next state and output equation (10 Marks)
$A(t+1) = x'y + xA$
$B(t+1) = x'B + xA$
$z = B$
a) Draw the logic diagram of the circuit
b) List the state table for the sequential circuit
c) Draw the corresponding state diagram
