Chapter 6, Problem 1P

To determine

(a)

To evaluate:

The expression $6\times 4>32-3$ without using MATLAB then check the answer with MATLAB.

Answer to Problem 1P

Solution:

The value of the expression $6\times 4>32-3$ is $0$.

Explanation of Solution

The given expression is,

$6\times 4>32-3$

Assign $1$ if the comparison is correct otherwise assign $0$.

Simplify the above equation,

$\begin{array}{l}6\times 4>32-3\\ \Rightarrow 24>29\\ \Rightarrow 0\end{array}$

Write the MATLAB script to evaluate the expression $6\times 4>32-3$.

MATLAB Code:

%Evaluate the expression

6.*4>32-3

%Assign 1 if the comparison is correct otherwise assign 0.

Save the MATLAB script with name, Chapter6_56830_6_1Pa.m in the current folder. Execute the script by typing the script name at the command window to evaluate the expression $6\times 4>32-3$.

Result:

Conclusion:

Therefore, the value of the given expression is $0$.

To determine

(b)

To evaluate:

The expression $y=4\times 3-7<\frac{15}{3}>-1$ without using MATLAB then check the answer with MATLAB.

Answer to Problem 1P

Solution:

The value of the expression $y=4\times 3-7<\frac{15}{3}>-1$ is $1$.

Explanation of Solution

The given expression is,

$y=4\times 3-7<\frac{15}{3}>-1$

Assign $1$ if the comparison is correct otherwise assign $0$.

Simplify the above equation,

$\begin{array}{c}y=4\times 3-7<\frac{15}{3}>-1\\ \Rightarrow \left(5<5\right)>-1\\ \Rightarrow 0>-1\\ \Rightarrow 1\end{array}$

Write the MATLAB script to evaluate the expression $y=4\times 3-7<\frac{15}{3}>-1$.

MATLAB Code:

%Evaluate the expression

y = 4*3-7<15./3>-1

%Assign 1 if the comparison is correct otherwise assign 0.

Save the MATLAB script with name, Chapter6_56830_6_1Pb.m in the current folder. Execute the script by typing the script name at the command window to evaluate the expression $y=4\times 3-7<\frac{15}{3}>-1$.

Result:

Conclusion:

Therefore, the value of the given expression is $1$.

To determine

(c)

To evaluate:

The expression $y=2\times {(3<8/4+2)}^2<{\left(-2\right)}^3$ without using MATLAB then check the answer with MATLAB.

Answer to Problem 1P

Solution:

The value of the expression $y=2\times {(3<8/4+2)}^2<{\left(-2\right)}^3$ is $0$.

Explanation of Solution

The given expression is,

$y=2\times {(3<8/4+2)}^2<{\left(-2\right)}^3$

Assign $1$ if the comparison is correct otherwise assign $0$.

Simplify the above equation,

$\begin{array}{c}y=2\times {(}^3<{\left(-2\right)}^3\\ \Rightarrow 2\times \left(9<16\right)<{\left(-2\right)}^3\\ \Rightarrow \left(18<32\right)<-8\end{array}$

Simplify the above equation,

$\begin{array}{c}\Rightarrow 0<-8\\ \Rightarrow 0\end{array}$ Write the MATLAB script to evaluate the expression $y=2\times {(3<8/4+2)}^2<{\left(-2\right)}^3$.

MATLAB Code:

%Evaluate the expression

y = 2*(3<8/4+2).^2<-2.^3

%Assign 1 if the comparison is correct otherwise assign 0.

Save the MATLAB script with name, Chapter6_56830_6_1Pc.m in the current folder. Execute the script by typing the script name at the command window to evaluate the expression $y=2\times {(3<8/4+2)}^2<{\left(-2\right)}^3$.

Result:

Conclusion:

Therefore, the value of the given expression is $0$.

To determine

(d)

To evaluate:

The expression $\left(5+\sim 0\right)/3==3-\sim \left(10/5-2\right)$ without using MATLAB then check the answer with MATLAB.

Answer to Problem 1P

Solution:

The value of the expression $\left(5+\sim 0\right)/3==3-\sim \left(10/5-2\right)$ is $1$.

Explanation of Solution

The given expression is,

$\left(5+\sim 0\right)/3==3-\sim \left(10/5-2\right)$

The sign $~$ represents $\text{NOT}$ operation. Assign $0$ if $\text{NOT}$ operation contains non-zero term otherwise assign $1$.

Assign $1$ if the comparison is correct otherwise assign $0$.

Simplify the above equation,

$\begin{array}{l}\left(5+\sim 0\right)/3==3-\sim \left(10/5-2\right)\\ \Rightarrow 2==3-1\\ \Rightarrow 2==2\\ \Rightarrow 1\end{array}$

Write the MATLAB script to evaluate the expression $\left(5+\sim 0\right)/3==3-\sim \left(10/5-2\right)$.

MATLAB Code:

%Evaluate the expression

(5+~0)/3==3-~(10/5-2)

%Assign 1 if the comparison is correct otherwise assign 0.

Save the MATLAB script with name, Chapter6_56830_6_1Pd.m in the current folder. Execute the script by typing the script name at the command window to evaluate the expression $\left(5+\sim 0\right)/3==3-\sim \left(10/5-2\right)$.

Result:

Conclusion:

Therefore, the value of the given expression is $1$.