Solve (0*2^2+1*2^1+1*2^-1+1*2^0)

$$(0 \times { 2 }^{ 2 } +1 \times { 2 }^{ 1 } +1 \times { 2 }^{ -1 } +1 \times { 2 }^{ 0 } )$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$0\times 4+1\times 2^{1}+1\times 2^{-1}+1\times 2^{0}$$

Multiply 0 and 4 to get 0.

$$0+1\times 2^{1}+1\times 2^{-1}+1\times 2^{0}$$

Calculate 2 to the power of 1 and get 2.

$$0+1\times 2+1\times 2^{-1}+1\times 2^{0}$$

Multiply 1 and 2 to get 2.

$$0+2+1\times 2^{-1}+1\times 2^{0}$$

Add 0 and 2 to get 2.

$$2+1\times 2^{-1}+1\times 2^{0}$$

Calculate 2 to the power of -1 and get \frac{1}{2}.

$$2+1\times \frac{1}{2}+1\times 2^{0}$$

Multiply 1 and \frac{1}{2} to get \frac{1}{2}.

$$2+\frac{1}{2}+1\times 2^{0}$$

Add 2 and \frac{1}{2} to get \frac{5}{2}.

$$\frac{5}{2}+1\times 2^{0}$$

Calculate 2 to the power of 0 and get 1.

$$\frac{5}{2}+1\times 1$$

Multiply 1 and 1 to get 1.

$$\frac{5}{2}+1$$

Add \frac{5}{2} and 1 to get \frac{7}{2}.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$