5*(4^2-2^15)/(2*4^8) eching

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

Baholash

$$-\frac{10235}{8192}=-1,249389648$$

Yechim qadamlari

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

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

15 daraja ko‘rsatkichini 2 ga hisoblang va 32768 ni qiymatni oling.

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

-32752 olish uchun 16 dan 32768 ni ayirish.

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

8 daraja ko‘rsatkichini 4 ga hisoblang va 65536 ni qiymatni oling.

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

131072 hosil qilish uchun 2 va 65536 ni ko'paytirish.

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

\frac{-32752}{131072} ulushini 16 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

5\left(-\frac{2047}{8192}\right) ni yagona kasrga aylantiring.

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

-10235 hosil qilish uchun 5 va -2047 ni ko'paytirish.

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

\frac{-10235}{8192} kasri manfiy belgini olib tashlash bilan -\frac{10235}{8192} sifatida qayta yozilishi mumkin.

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

Omil

$$-\frac{10235}{8192} = -1\frac{2043}{8192} = -1,2493896484375$$