Question

Problem 4 a) Design a 4 to 1 line multiplexer .Show all your work b) Design a half adder circuit ( truth table, equations, logic circuit)

Answer 1

R.) aceigu !! Multiplexer À multiplexet is a combinational circuit that has maximum 2" data inpuds, 'n' selection lines and single Deput. One these data inputs will be connected to the output based on value of selection lines. 4X4 MUX T3 Gepuests Io 41 MUX y (output) I To S. selection lines Selection Lines Output si so у Io (स IR Iz CS Scanned with CamScanner

Boolean function for y y= 5; 5. Io + 5, SI, + 5, so Ig + $,$. Iz selection lines here, autput depends on the values of To will be output when S; So = 0,0 Il will be output when oil S, SO - s, so will de I a output when 1,0 Iz will be output when Siso = 1,1 (b.) Half-Adder; Helf- Addere is a combinationcel circuit that adds two binary digits called as augend and addend and and produces two outputs as sum and Carrey. Sum 15 ) Half Adder B Gurry (C) CS Scanned with CamScanner

Truth Table of Nelf Adder Input output A B Sum Carrey o o O o O O Logiul Eupression! ĀBTA sum = s A OB : 0 Ex-OR Carrey A.B Cirmit! A B Eu-OR Sum L. AND Carey CS Scanned with CamScanner

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