write VHDL code to implement a 4-bit adder of figure below. The circuit has two inputs (a, b) and one output (sum). All signals are of type SIGNED. a (3:0) + sum (4:0) b (3:0)

Design a 2-bit comparator. The comparator input has two 2-bit numbers A and B. A consists of 2 bits a1 and a0. B consists of 2 bits b1 and b0. The comparator has three outputs Z2, Z1, Z0. a. Show the truth table for this comparator. b. Write the logic equation for Z2 that are true if only if A < B c. Write the logic equation for Z1 that are true if only if A > B d. Write the logic equation for Z0 that are true if only if A = B e. Show the logic design for this comparator using the minimum number of AND, OR, and Inverters. f. Verify your design using Logisim.

Example/ Draw a 4-bit adder and show the inputs and outputs of all logic circuit for input numbers. A3 A2A₁A0-1001 and B3B2B₁BO: 01|| using logic gates detecting circuit

Write a Boolean expression for a NOR gate. F(A, B) = Write the Boolean expression for a four-input NOR gate. F(A, B, C, D) = To implement a 1-bit adder, write a Boolean expression for the Carry function. CarryOut(A, B, C;) = Input: A, B Carry in: C 2 pts 2 pts 2 pts

boolean expression: P = not((not(a.b) + c) + a.c)  (c) Show that P (the Boolean expression above) is equivalent to the Boolean expression Q = a · b · not(c) and draw the corresponding circuit.

please solve asap

Design a circuit using a Multiplexer, (((USING A MULTIPLEXER NOT A DECODER))) that has two inputs X, and S, where X represents an 8-bit BCD number,S is a sign bit. The circuit has one output Y, which is the Binary representation of thesigned-magnitude BCD number. A negative output is represented in the Binary 2’scomplement form.