Draw any circuits using LogiSim Software,

Question#1:

1. Design a circuit to recognize (i.e. generate a high = True = 1 signal) for the beq opcode.
2. Design a circuit to recognize (i.e. generate a high = True = 1 signal) for the lw opcode.
3. Assume that X consists of 3 bits, x2 x1 x0. Write four boolean logic expressions that are true if and only if

a) X contains only one 0

b) X contains an even number of 0s

c) X when interpreted as an unsigned binary number is less than 4

d) X when interpreted as a twos complement number is negative

Question#2:

Implement a switching network that has two data inputs (A and B), two data outputs (C and D), and a control input (S). If S equals 1, the network is in pass-through mode, and C should equal A, and D should equal B. If S equals 0, the network is in crossing mode, and C should equal B, and D should equal A.