Some one plase help me with following expresssions.

  • Thread starter pli777
  • Start date
In summary, the conversation discusses simplifying boolean expressions and implementing them using boolean operators. It includes examples of expressions such as z=abc+abc'+ab'c, x=(a'+b)(a+b+d)d', and x=b'c+ac+ab', and suggests applying de morgan's theorems to simplify them. The individual seeking help is reminded to try some of the expressions themselves before asking for assistance.
  • #1
pli777
2
0
some one plase help me with following expresssions.
1 simplify the following expressions
1. z=abc+abc'+ab'c
2. x=(a'+b)(a+b+d)d'

2. apply de morgan's therems and simplify

1. z=(a(a+c')')'d
2. z=abc+ab'(a'c')'
3. z=(a+b=b'cd')'+b'cd'
4. z+a'c(a'bd)'+(a'bc'd'+ab'c)'

3. implement the following boolean expressions using and,or,not

1. x=b'c+ac+ab'
2. x=(a'+b'+c)+ab
 
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  • #2
These are all boolean expressions, and a' meand not a, (a+b) is a or b, and ab= a and b?

you must try at least some of them yourself and show your work. If you have no idea what to do with all 8 expressions, it will be very hard to help you.
 
  • #3
'c
3. x=(a'+b)(a'+c)(b'+c)

1. x=(b'c)+(ac)+(ab')
2. x=((a'+b')+(c))+(ab'c)
3. x=((a'+b)+(a'+c)+(b'+c))
 

1. What are expressions?

Expressions are mathematical or logical statements that are used to perform calculations or evaluate conditions. They can include numbers, variables, operators, and functions.

2. How do I simplify expressions?

To simplify expressions, you can follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Start by evaluating any parentheses, then simplify any exponents, and finally perform any remaining multiplication, division, addition, and subtraction in that order.

3. What is the difference between an expression and an equation?

An expression is a mathematical statement that does not have an equal sign and cannot be solved. On the other hand, an equation is a mathematical statement that has an equal sign and can be solved for a specific variable.

4. How do I know which operation to use in an expression?

The operation to use in an expression depends on the type of calculation you want to perform. Addition and subtraction are used to combine or separate numbers, while multiplication and division are used to create equal groups or find a part of a whole. Exponents are used to indicate repeated multiplication, and parentheses are used to specify the order of operations.

5. Can expressions be used in real-life situations?

Yes, expressions can be used in various real-life situations, such as calculating prices with discounts and sales tax, determining the amount of medication to administer based on body weight, or evaluating the profitability of a business based on sales and expenses. They are also commonly used in computer programming to perform calculations and make decisions.

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