Simplify the following Boolean function using four variable K-map. F(A, B, C, D) = Σ (0, 1, 2, 5, 8, 9, 10) (b) Draw the logic diagram with AND-OR-NOT gates. (c) Draw the logic diagram with NAND gates. (d) Draw the logic diagram with NOR gates using Digital Logic in computer architecture

Just answer three, four and that's OK

Simplify the expression using deMorgan's Theorem and draw the logic circuit for the simplified expressions.

computer science, digital logic.

Apply Boolean algebra simplification rules to Simplify the Boolean expression F = A'B + BC' + A'BC. Draw the circuit diagram of the simplified term using minimum number of gates.

1. Simplify the following logic equation: F = ab'c + abcd' + ab'cd' + acd Also draw the circuit before and after simplifications, and comment on savings on number of gates. % savings (number of gates required before modification – number of gates required with simplest form)* 100/(number of gates required after modification)

Excersize 1: Sketch a schematic of the circuit described by the following VHDL code. Simplify the schematic so that it shows a minimum number of gates. library IEEE; use IEEE.STD_LOGIC_1164.all; entity exercisel is port (a, b, c: in Y, 2: STD LOGIC; out STD LOGIC); end; architecture synth of exercisel is begin y <= (a and b and c) or (a and not b and c); z <= (a and b) or (not a and not b); end; (a and b and not c) or

Show the logic diagram for the three-variable expression (a⊕b)c'+(b’a+c(a+b))'+(ac)’ and construct the truth table for it.

Note: - You are attempting question 4 out of 12 Derive the hazard free Boolean expression for given logic function. F(W,X,Y.Z)= m(0,4,5,10,11,13,14,15) (а) АС + ВСD + ACD (b) АС + ВCD + ACD+АВС+ АBD (c) АС + ACD+ ABC + ABD (d) ABC + ABD Answer

Use the laws of Boolean algebra to simplify (A+B)(A'+B')