Question

Q/ Design a full adder using 2-input XOR, AND, and OR gates. Show all the steps including the truth table, output expressions/equations, simplifications etc.

Answer #1

Design Half-adder and Full-adder circuits using truth tables.
Use only 2-input NAND gates

Design a 1-bit Full adder using one 3-bit majority encoder and a
set of NAND gates

Design a circuit that computes F = 4.5A (4.5 times A) using a
full adder. Input A is a 4-bit number (A3A2A1A0) and A is an even
number. A3 is the MSB.

Design a Single cell 1 bit Carry propagate (or Ripple Carry
Adder) full adder.
a. Generate the truth table
b. Using K-map or Boolean algebra, determine the logical
expression for Carry out (C-out) and Sum (S) Outputs
C. Draw the circuit diagram of the outputs in step b

My question: what is the truth table for full-comparator??
Full question: Design a comparator circuit for binary numbers
using only NAND gates. It should take as input two numbers
represented in standard binary, X and Y, and produce two outputs, G
and L, which indicate that X is Greater than or Less than Y,
respectively. If both outputs are zero, it indicates that the
values are equal. Design a half-comparator, full-comparator, and a
full four-bit comparator. With nothing more than...

Q1)Design a 3-bit full adder by using a 8x3 Decoder.,
Q2)Design a digital circuit by using a 8x1 multiplexer
implementing the following Boolean equation.F(A, B, C, D) =∑(2, 3,
5, 7, 8, 9, 12, 13, 14, 15)

Using Moore machine approach design a sequence detector with one
input and one output. When input
sequence 010 occurs the output becomes 1 and remains 1 until the
sequence 010 occurs again in which case the
output returns to 0. The output remains 0 until, 010 occurs the
third time, and so on. Your design should be
able to handle overlapping sequences, i.e., input sequence
11001010100 should produce the output 00000110011.
Draw the state diagram and implement your detector using...

Design 2 bits counter that count down by using T flip flop when
input x =1 and counts up
when x=0. Find the following
1. Derive the state table
2. Derive the K‐map simplifications.
3. Draw the logic diagram

In this problem we’ll explore the fact that all logical circuits
can be implemented using just NAND gates.
i. Let’s denote p NAND q as p ? q. Write a logical expression
for the three circuits corresponding to AND, OR, and NOT.
ii. ( Validate your three logical expressions with three truth
tables. For clarity and full credit, show each variable and
distinct statement in a separate column, culminating in your final
formula. For instance, if we wanted a table...

Design a 4-bit adder-subtractor circuit using the 4-bit binary
Full adders (74LS83) and any necessary additional logic gates. The
circuit has a mode input bit, M, that controls its operation.
Specifically, when M=0, the circuit becomes a 4-bit adder, and when
M=1, the circuit becomes a 4-bit subtractor that performs the
operation A plus the 2’s complement of B.Where A and B are two
4-bits binary numbers. That is,
* When M=0, we perform A+B, and we assume that
both...

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