Solve (1*2^6+1*2^5+0*2^4+1*2^3+1*{2}^2+0*{2}^1+1*2)

$$(1 \times { 2 }^{ 6 } +1 \times { 2 }^{ 5 } +0 \times { 2 }^{ 4 } +1 \times { 2 }^{ 3 } +1 \times { 2 }^{ 2 } +0 \times { 2 }^{ 1 } +1 \times 2)$$

Evaluate

$$110$$

Solution Steps

Calculate 2 to the power of 6 and get 64.

$$1\times 64+1\times 2^{5}+0\times 2^{4}+1\times 2^{3}+1\times 2^{2}+0\times 2^{1}+1\times 2$$

Multiply 1 and 64 to get 64.

$$64+1\times 2^{5}+0\times 2^{4}+1\times 2^{3}+1\times 2^{2}+0\times 2^{1}+1\times 2$$

Calculate 2 to the power of 5 and get 32.

$$64+1\times 32+0\times 2^{4}+1\times 2^{3}+1\times 2^{2}+0\times 2^{1}+1\times 2$$

Multiply 1 and 32 to get 32.

$$64+32+0\times 2^{4}+1\times 2^{3}+1\times 2^{2}+0\times 2^{1}+1\times 2$$

Add 64 and 32 to get 96.

$$96+0\times 2^{4}+1\times 2^{3}+1\times 2^{2}+0\times 2^{1}+1\times 2$$

Calculate 2 to the power of 4 and get 16.

$$96+0\times 16+1\times 2^{3}+1\times 2^{2}+0\times 2^{1}+1\times 2$$

Multiply 0 and 16 to get 0.

$$96+0+1\times 2^{3}+1\times 2^{2}+0\times 2^{1}+1\times 2$$

Add 96 and 0 to get 96.

$$96+1\times 2^{3}+1\times 2^{2}+0\times 2^{1}+1\times 2$$

Calculate 2 to the power of 3 and get 8.

$$96+1\times 8+1\times 2^{2}+0\times 2^{1}+1\times 2$$

Multiply 1 and 8 to get 8.

$$96+8+1\times 2^{2}+0\times 2^{1}+1\times 2$$

Add 96 and 8 to get 104.

$$104+1\times 2^{2}+0\times 2^{1}+1\times 2$$

Calculate 2 to the power of 2 and get 4.

$$104+1\times 4+0\times 2^{1}+1\times 2$$

Multiply 1 and 4 to get 4.

$$104+4+0\times 2^{1}+1\times 2$$

Add 104 and 4 to get 108.

$$108+0\times 2^{1}+1\times 2$$

Calculate 2 to the power of 1 and get 2.

$$108+0\times 2+1\times 2$$

Multiply 0 and 2 to get 0.

$$108+0+1\times 2$$

Add 108 and 0 to get 108.

$$108+1\times 2$$

Multiply 1 and 2 to get 2.

$$108+2$$

Add 108 and 2 to get 110.

$$110$$

Factor

$$2\times 5\times 11$$