Whakaoti i te 5*(4^2-2^15)/(2*4^8)

$$5 \times \frac { ( { 4 }^{ 2 } - { 2 }^{ 15 } ) } { (2 \times { 4 }^{ 8 } ) }$$

Aromātai

$$-\frac{10235}{8192}=-1.249389648$$

Ngā Upane Otinga

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$5\times \frac{16-2^{15}}{2\times 4^{8}}$$

Tātaihia te 2 mā te pū o 15, kia riro ko 32768.

$$5\times \frac{16-32768}{2\times 4^{8}}$$

Tangohia te 32768 i te 16, ka -32752.

$$5\times \frac{-32752}{2\times 4^{8}}$$

Tātaihia te 4 mā te pū o 8, kia riro ko 65536.

$$5\times \frac{-32752}{2\times 65536}$$

Whakareatia te 2 ki te 65536, ka 131072.

$$5\times \frac{-32752}{131072}$$

Whakahekea te hautanga \frac{-32752}{131072} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 16.

$$5\left(-\frac{2047}{8192}\right)$$

Tuhia te 5\left(-\frac{2047}{8192}\right) hei hautanga kotahi.

$$\frac{5\left(-2047\right)}{8192}$$

Whakareatia te 5 ki te -2047, ka -10235.

$$\frac{-10235}{8192}$$

Ka taea te hautanga \frac{-10235}{8192} te tuhi anō ko -\frac{10235}{8192} mā te tango i te tohu tōraro.

$$-\frac{10235}{8192}$$

Tauwehe

$$-\frac{10235}{8192} = -1\frac{2043}{8192} = -1.2493896484375$$