Solve 2*8^1+1*8^0+1*8^-2+1*8^-1

$$2 \times { 8 }^{ 1 } +1 \times { 8 }^{ 0 } +1 \times { 8 }^{ -2 } +1 \times { 8 }^{ -1 }$$

Evaluate

$$\frac{1097}{64}=17.140625$$

Solution Steps

Calculate 8 to the power of 1 and get 8.

$$2\times 8+1\times 8^{0}+1\times 8^{-2}+1\times 8^{-1}$$

Multiply 2 and 8 to get 16.

$$16+1\times 8^{0}+1\times 8^{-2}+1\times 8^{-1}$$

Calculate 8 to the power of 0 and get 1.

$$16+1\times 1+1\times 8^{-2}+1\times 8^{-1}$$

Multiply 1 and 1 to get 1.

$$16+1+1\times 8^{-2}+1\times 8^{-1}$$

Add 16 and 1 to get 17.

$$17+1\times 8^{-2}+1\times 8^{-1}$$

Calculate 8 to the power of -2 and get \frac{1}{64}.

$$17+1\times \frac{1}{64}+1\times 8^{-1}$$

Multiply 1 and \frac{1}{64} to get \frac{1}{64}.

$$17+\frac{1}{64}+1\times 8^{-1}$$

Add 17 and \frac{1}{64} to get \frac{1089}{64}.

$$\frac{1089}{64}+1\times 8^{-1}$$

Calculate 8 to the power of -1 and get \frac{1}{8}.

$$\frac{1089}{64}+1\times \frac{1}{8}$$

Multiply 1 and \frac{1}{8} to get \frac{1}{8}.

$$\frac{1089}{64}+\frac{1}{8}$$

Add \frac{1089}{64} and \frac{1}{8} to get \frac{1097}{64}.

$$\frac{1097}{64}$$

Factor

$$\frac{1097}{2 ^ {6}} = 17\frac{9}{64} = 17.140625$$