1)
двухканальная, значит k = 2
глубина кодирования i = 24 бит
частота дискретизации f = 48000 Гц
время t= 60 сек
МБ = 8 * 1024 * 1024 бит
отсюда
![\frac{2 * 24 * 48000 * 60}{2^{23} } = \frac{2 * 2^{3} * 3 * 1000 * 2^{4}*3 * 2^{2}*15 }{2^{23}} = \frac{3*3*15* 1000}{2^{13}} = \frac{9*15}{2^3} = \frac{2 * 24 * 48000 * 60}{2^{23} } = \frac{2 * 2^{3} * 3 * 1000 * 2^{4}*3 * 2^{2}*15 }{2^{23}} = \frac{3*3*15* 1000}{2^{13}} = \frac{9*15}{2^3} =](https://tex.z-dn.net/?f=+%5Cfrac%7B2+%2A+24+%2A+48000+%2A+60%7D%7B2%5E%7B23%7D+%7D+%3D++%5Cfrac%7B2+%2A+2%5E%7B3%7D+%2A+3+%2A+1000+%2A+2%5E%7B4%7D%2A3+%2A+2%5E%7B2%7D%2A15+%7D%7B2%5E%7B23%7D%7D+%3D++%5Cfrac%7B3%2A3%2A15%2A+1000%7D%7B2%5E%7B13%7D%7D+%3D++%5Cfrac%7B9%2A15%7D%7B2%5E3%7D+%3D+)
15
ответ: 1
2)
Из формулы I = i * f * k *t выражаем t =
![\frac{I}{i*f*b} = \frac{3*2^{23}}{24 * 16000 * 1} = \frac{3* 2^{23}}{3 * 2^3 * 2^{10} * 2^{4}} = 2^{6} \frac{I}{i*f*b} = \frac{3*2^{23}}{24 * 16000 * 1} = \frac{3* 2^{23}}{3 * 2^3 * 2^{10} * 2^{4}} = 2^{6}](https://tex.z-dn.net/?f=+%5Cfrac%7BI%7D%7Bi%2Af%2Ab%7D+%3D++%5Cfrac%7B3%2A2%5E%7B23%7D%7D%7B24+%2A+16000+%2A+1%7D+%3D++%5Cfrac%7B3%2A+2%5E%7B23%7D%7D%7B3+%2A+2%5E3+%2A+2%5E%7B10%7D+%2A+2%5E%7B4%7D%7D+%3D+++2%5E%7B6%7D)
64
Ответ: 2
3)
64 уровня дискретизации(N = 2^i) <==> 6 бит на символ, моно k = 1;
t = 384, f = 128 Гц
I = i * k * f * t
I =
![\frac{6*1*128*384}{8*1024} = \frac{3 * 2 * 2^{7} * 2^7 *3}{2^3 * 2^{10}} = 4*3*3 = 36 \frac{6*1*128*384}{8*1024} = \frac{3 * 2 * 2^{7} * 2^7 *3}{2^3 * 2^{10}} = 4*3*3 = 36](https://tex.z-dn.net/?f=+%5Cfrac%7B6%2A1%2A128%2A384%7D%7B8%2A1024%7D+%3D++%5Cfrac%7B3+%2A+2+%2A+2%5E%7B7%7D+%2A+2%5E7+%2A3%7D%7B2%5E3+%2A+2%5E%7B10%7D%7D+%3D+4%2A3%2A3+%3D+36++)
Байт
Ответ:2