Answer to Question #242777 in Electrical Engineering for Kushal

Question #242777
A common bus system which is capable of transferring 2 bits at time with number of
registers are 4 each register is of 2 bit? Draw circuit diagram for this and also define how many
multiplexers are required and what will be the size of multiplexer with truth table Also explain
how to gather data from this bus back into register [10 marks]
Expert's answer

We understand that the Boolean expression for this 4-to-1 Multiplexer with inputs A to D and data select lines a, b can be represented as:

Q = abA + abB + abC + abD


We 4 registers of 2 bits, the most recommended multiplexer is a 4-to-1:

In the representation below, at any one instant in time only ONE of the four analogue switches is closed, connecting only one of the input lines A to D to the single output at Q. As to which switch is closed depends upon the addressing input code on lines “a” and “b“.

Therefore, to select input B to the output at Q, the binary input address would need to be “a” = logic “1” and “b” = logic “0”. 

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