2.1 Problem FormulationRecall that Binary subtraction appeals to binary addition only, thus it suffices to only translate the input of B =(B3, B2, B₁, Bo) into corresponding 2's complement form before feeding it into the 4-bit adder. Let us denote G =(G3, G2, G₁, Go) as the input of the 4-bit adder. Complete the truth-table:M B3 B2 B₁ Bo G3 G₂ G₁ Go0X X X X B3 B2 B₁ Bo00 0 011 10 0 0 000011100 10111 00111 0 1 0 010101|101 101 01111 1000110011 1010110 1 11 1 1001110111110111112.2 Logic MinimisationUsing any means of logic minimization, either K-map or Boolean algebra or even by observation, rewrite thefour Boolean functions of (G3, G2, G₁, Go) using the inputs (M, B3, B2, B1, Bo).2.3 DesignComplete the following schematic using external XOR gates only. Note that the A's and B's follow thespecification of the 74LS83 IC data sheet; and they do not necessarily mean our generic system input.A3A₂A₁AoB3B2B1Bo74LS83CinCoutS3S₂S₁So2 / 3 1.IntroductionIn this lab, we are going to design a more complicated combinational logic. The designed circuit will besimulated using the OrCAD capture and PSpice.4-bit adder/subtractorThe function of the circuit can be described by the equation:(A + B,if MAB,if MIn other words, this system is to add or subtract two 4-bit binary numbers A and B.YThe system will have 9 input pins:A = (A3, A2, A1, A0),B = (B3, B2, B₁, Bo), andM (mode selection).The system will have 5 output pins:S = (S3, S2, S1, So), andCo (carry out)--If the input M (Mode select) is 0, then the circuit will give the sum Y= A + B. If M is 1, then the circuit willperform the operation Y = A - B. The result of the operation in both cases will appear in the output S and theoutput carry (Cout).We assume A3, B3, and S3 are the most significant bits (MSB).0;1.In this section, you are only allowed to use the following components:4 x 2 input XOR gate (7486)1 x 4-bit binary adder (7483A)9 x input STIM1 Ports (one for each input pin)5 x output Hierarchical Ports (one for each output pin)

As per the guidelines we are supposed to answer only first question. Please repost the remaining as…

2.1 Problem Formulation Recall that Binary subtraction appeals to binary addition only, thus it suffices to only translate the input of B = (B3, B2, B1, B₁) into corresponding 2's complement form before feeding it into the 4-bit adder. Let us denote G (G3, G2, G₁, Go) as the input of the 4-bit adder. Complete the truth-table: M| B3 B₂ B₁ Bo G3 G₂ G₁ Go 0 X XXX B3 B₂ B₁ Bo 0000000 0 1

2.1 Problem Formulation Recall that Binary subtraction appeals to binary addition only, thus it suffices to only translate the input of B = (B3, B2, B1, B₁) into corresponding 2's complement form before feeding it into the 4-bit adder. Let us denote G (G3, G2, G₁, Go) as the input of the 4-bit adder. Complete the truth-table: M| B3 B₂ B₁ Bo G3 G₂ G₁ Go 0 X XXX B3 B₂ B₁ Bo 0000000 0 1

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

Can u help me
14. In this exercise, you are requested to build a circuit that inputs 3 binary variables A, B and C and outputs 2 binary values Z and T. Z=1 if A is different than B and T = 1 if B is different than C. a- Completing the truth table of a full adder. ABCZT b- Implement the circuit using the below decoder 3-to-8 Decoder
3) Boolean functions for the outputs c2(a₁,a0,b₁,bo), c₁(a₁,ao,b₁,bo) and co(a₁,ao,b₁,bo) shown by the below truth table will be implemented in Part 2. a. Find sum of product (SOP) representations of the Boolean functions c2(a₁,ao,b₁,bo), c₁(ai,ao,b₁,bo) and co(a₁,ao,b₁,bo) defined by the below truth table. b. Simplify the c2(ai,ao,b₁,bo), ci(ai,ao,b₁,bo) and co(ai,ao,b₁,bo) Boolean functions. a₁ ao bi bo C2 C₁ Co 0000000 0 1 0 0 1 010010 11011 00001 01010 11001 1 11100 000010 001011 010100 10 011101 110 0 0 0 1 1 110 01100 111 0 1 0 1 111 1 110 10 000 0 0 0 0 1 1 010 1 0 0 0 0 1 1
1 0 F(A, B, C) BC A 4 x 1 MUX used to implement a 3-input Boolean function is as shown above. The Boolean function F(A, B, C) implemented is:
2) Obtain the simplified Boolean expressions for output F and G in terms of the input variables in the circuit of Fig F B- C- G D-
Complete the truth table. Get the SOP and POS representation of the truth table in both canonical and standard form. Construct the logic circuit diagram and make sure to draw the logical circuit diagram in connected manner. A 0 0 0 0 1 1 1 1 Input B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 Output D 0 0 1 0 1 1 1 1 Minterms Term Maxterms Designation Term Designation M₂ mo M₁ m₁ m2 m3 m4 m5 m6 m7 M₂ M3 M4 M5 M6 M₂
Helpppp
A logic circuit realizing the function f has four inputs A,B,C, and D. The three inputs A,B, and c are the binary representation of the digits 0 through 7 with A being the most-significant bit. The input D is an odd-parity bit, i.e., the value of D such that A,B,C, and D always contain an odd number of 1's. (For example, the digit 1 is represented by ABC = 001 and D = 0, and the digit 3 is represented by ABCD = 0001.) The function f has a value 1 if the input digit is a prime number. (A number is prime if it is divisible only by itself and 1;1 is considered to be prime and 0 is not.) (a) List the minterms and don't-care minterms of f in algebraic form. (b) List the maxterms and don't-care minterms of f in algebraic form.
get the truth table, canonical form in maxterms and minterms and the shape of the output signs in the diagram
1) what are the minterms m1, m5, m7, for the 3-bit circuit with inputs A, B, C? 2) simplify the boolean equation y= (ABC+A'BC)(AC)
Given a 4-bit signed input P=P3P2P1P0 and a control input Z, use a 4-bit adder and any logicgates to design a digital circuit that does the following: ● Outputs P + 3, if the input Z = 0● Outputs P − 3, if the input Z = 1 You can ignore cases where an overflow* might occur after performing the addition or subtraction operation, as long as the circuit performs the signed binary arithmeticcorrectly.
What will be the value for CS.SS.S. if X = 1011, Y = 0110 and S 1? Your answer must be a 5 bit binary number. Y, Y, Y, Y, X, X, X, X, Cout 4-bit Cin parallel adder S, S, S. S. 4 2 1 Your answer