Ask question

Ask question

All categories

3 years ago

10

Algebraically prove identities involving the exclusive-OR operation: (a) x ⊕ 0 = x (b) x ⊕ 1 = x′ (c) x ⊕ x = 0 (d) x ⊕ x′ = 1 (

e) x ⊕ y = y ⊕ x (f ) (x ⊕ y) ⊕ z = x ⊕ (y ⊕ z) (g) (x ⊕ y)′ = x′ ⊕ y = x ⊕ y′

1 answer:

zubka84 [21]3 years ago

3 0

Answer:

Explanation:

By Logical Identities formula, the simplifications and prove is as shown in the attached file.

You might be interested in

An aircraft component is fabricated from an aluminum alloy that has a plane strain fracture toughness of 40MPa. It has been dete

Nataly [62]

Answer:

Yes, fracture will occur

Explanation:

Half length of internal crack will be 4mm/2=2mm=0.002m

To find the dimensionless parameter, we use critical stress crack propagation equation

$\sigma_c=\frac {K}{Y \sqrt {a\pi}}$ and making Y the subject

$Y=\frac {K}{\sigma_c \sqrt {a\pi}}$

Where Y is the dimensionless parameter, a is half length of crack, K is plane strain fracture toughness, $\sigma_c$ is critical stress required for initiating crack propagation. Substituting the figures given in question we obtain

$Y=\frac {K}{\sigma_c \sqrt {a\pi}}= \frac {40}{300\sqrt {(0.002*\pi)}}=1.682$

When the maximum internal crack length is 6mm, half the length of internal crack is 6mm/2=3mm=0.003m

$\sigma_c=\frac {K}{Y \sqrt {a\pi}}$ and making K the subject

$K=\sigma_c Y \sqrt {a\pi}$ and substituting 260 MPa for $\sigma_c$ while a is taken as 0.003m and Y is already known

$K=260*1.682*\sqrt {0.003*\pi}=42.455 Mpa$

Therefore, fracture toughness at critical stress when maximum internal crack is 6mm is 42.455 Mpa and since it’s greater than 40 Mpa, fracture occurs to the material

6 0

3 years ago

Why do we need an architect?explain briefly by focusing on its various sectors.

lara [203]

Answer:

An architect will help you determine exactly what you need and come up with inventive ideas to solve even the most complex design problems. Think of us as professional 3D problem solvers! An architect can and should lift your project out of the ordinary.

Explanation:

What are the 3 main functions of an architect?

Design: Architects must design, plan, and develop concepts to create construction plans and technical documents. These are based on client requirements and ideas. Research: Architects must learn about the different building codes, safety regulations, construction innovations and city laws that affect their designs

What are the 7 types of architecture?

There are several main types of architects who focus on different types of structures and designs.

...

Commercial Architects

Office buildings / skyscrapers.

Hotels.

Bridges.

Schools.

Museums.

Government buildings.

Multi-unit residential buildings.

Pretty much any type of building that's not a residential home.

8 0

2 years ago

Why doesn't glue stick to the inside of the bottle?

Galina-37 [17]

Answer:

Explanation:

When white is inside a , there's not enough air inside the to cause the water to

to make the sticky. Basically, the protects the from the air and keeps the runny.

6 0

3 years ago

8. When supplying heated air for a building, one often chooses to mix in some fresh outside air with air that has been heated fr

Afina-wow [57]

Answer:

Check the explanation

Explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

5 0

3 years ago

If you need to write a function that will compute the cost of some candy, where each piece costs 25 cents, which would be an app

masya89 [10]

The best answer would be

D. Int calculateCost(int count);

6 0

3 years ago