Suppose you have a 4x1 multiplexer (MUX) whose inputs are shown below in a single row of a truth table. The inputs i0 - 13 are data inputs and so and s1 are selector bits. What Boolean value will the data output, d, be for this row? 13 12 11 10 s1 s0 d 1101 0 2 3

Can someone please help me with the multiplication part? How can I create the multiplier circuit using logic gate?

You are asked to design a circuit to detect if an overflow occurs when subtracting two integers represented in two's complement: Z= X - Y. Let Sz, Sx, and Sy be the sign bit for Z, X, and Y respectively, and they are fed as input to the circuit. Let O be the output bit of the circuit, whose value is 1 if an overflow happens, and 0 if otherwise. a) Build the truth table for O as a Boolean function of Sx, Sy, and Sz. b) Write the canonical expression (sum-of-product) for the Boolean function defined in the part a. c) Implement the Boolean expression defined in part b with a circuit by using AND, OR, and NOT gates. Draw the wiring diagram.

For the truth table above where wx input is down and the y input is across, which one of these is a simplified expression? F(w,x,y)=w+x F(w,x,y)=w'(w+x+y') F(w,x,y)=y+w+x F(w,x,y)=w'+w+x F(w,x,y)=w'+xy'