Computer Architecture and Organization

a) If the register RS1 contains (0050)_h and RS2 contains (0505)_h and the mux control signal C=1_b, what is the contents of the RD register after the clock?

b) Assume that a string, X consists of 3 bits. Develop a truth table and write four logic functions f, g, h, and j that are true if and only if X contains only one 0 X contains an even number of 0s X when interpreted as an unsigned binary number is less than 4 X when interpreted as a signed (twos complement) number is negative

c) Show a truth table for a 2-to-1 multiplexor (inputs a, b, and s(elector), output c ). Develop an equation for the output c using a K-map.

RS1 RS2 16 16 mux 16 RD