курсовик 11

11. Деление чисел в форматах с фиксированной и плавающей запятой

1) A=0,01011

B=-0,10101

[A]_об^м=00,01011

[В]_об^м=11,01010

|A|<|B|,B0

[A]_об^м=11,10100

[В]_об^м=00,10101

Sg C=1

CM	РгC	Примечания
11,10100 11,01001 00,10101 11,11110 11,11101 00,10101 00,10010 11,01010 11,11100 11,11001 00,10101 00,01110 + 1 00,01111 11,01010 11,11001 11,10011 00,10101 00,01000 + 1 00,01001 11,01010 11,10011 11,00111 00,10101 11,11100	00000 0000- 00001 0001- 00010 0010- 00100 0100- 01000 1000- 10001	[CM]=[A]об^м;[РгB]=[B] об^м;[РгC]=0 [РгC]; [CM] [CM]= [CM]+ [РгB] C1=1 [РгC]; [CM] [CM]= [CM]+ [РгB] C2=0 Восст-е ост.: [CM]= [CM]+ [РгB] [РгC]; [CM] [CM]= [CM]+ [РгB] C3=0 Восст-е ост.: [CM]= [CM]+ [РгB] [РгC]; [CM] [CM]= [CM]+ [РгB] C4=0 Восст-е ост.: [CM]= [CM]+ [РгB] [РгC]; [CM] [CM]= [CM]+ [РгB] C5=1

Ответ: С=-0,01110

2) A=-0,01101

B=-0,11110

[A]_д^м=11,10011

[В]_д^м=11,00010

[В]_д^м=00,11110

|A|<|B|,B0

Sg C=0

CM	РгC	Примечания
11,10011 11,00110 00,11110 00,00100 00,01000 00,11110 01,00110 10,01100 00,11110 11,01010 10,10100 00,11110 11,10010 11,00100 00,11110 00,00010	00000 0000- 00000 0000- 00000 0000- 00001 0001- 00011 0011- 00110	[CM]=[A]д^м;[РгB]=[B] д^м;[РгC]=0 [РгC]; [CM] [CM]= [CM]+ [РгB] Sg A Sg A1; C1=0 [РгC]; [CM] [CM]= [CM]+ [РгB] Sg A Sg A2; C2=0 [РгC]; [CM] [CM]= [CM]+ [РгB] Sg A= Sg A3; C3=1 [РгC]; [CM] [CM]= [CM]+ [РгB] Sg A= Sg A4; C4=1 [РгC]; [CM] [CM]= [CM]+ [РгB] Sg A Sg A5; C5=0

Ответ: С=0,00110

3) A=0,100012³

B=0,111102^-2

|m_а|<|m_в|

[m_а]_д^м=00,10001 [р_a]_д=0,011

[m_в]_д^м=00,11110 [р_в]_д=1,110

[m_а]_д^м=11,01111 [m_в]_д^м=11,00010

CMМ	Рг mс	Примечания
11,01111 00,11110 00,01101 00,11010 11,00010 11,11100 11,11000 00,11110 00,10110 01,01100 11,00010 00,01110 00,11100 11,00010 1,11110	00000 0000- 00000 0000- 0000,1 000,1- 000,10 00,10- 00,100 0,100- 0,1001	[CMМ]=[mа]д^м;[Рг mс]=0;[Рг mв]= [mв]д^м [CMМ]= [CMМ]+[Рг mв]; [Рг mc]; c0=0; [CMM]; [Рг mc]; [CMМ]= [CMМ]+ [Рг mв] c1=1; [CMM]; [Рг mc]; [CMМ]= [CMМ]+ [Рг mв] c2=0; [CMM]; [Рг mc]; [CMМ]= [CMМ]+ [Рг mв] c3=0; [CMM]; [Рг mc]; [CMМ]= [CMМ]+ [Рг mв] c4=1

[СМП]:=[РгР_a]+[РгР_в]

0,011

+

1,110

0,001 Sg C=0

Ответ: С=0,10012¹

4) A=0,101112^-3

B=-0,111102^-2

|m_а|<|m_в|

[m_а]_об^м=00,10111 [р_a]_об=1,100

[m_в]_об^м=11,00001 [р_в]_об=1,101

Sg C=1

CMМ	Рг mс	Примечания
00,10111 01,01110 11,00001 00,01111 + 1 00,10000 01,00000 11,00001 00,00001 + 1 00,00010 00,00100 11,00001 11,00101 10,01011 00,11110 11,01001 10,10011 00,11110 11,10001	00000 0000- 00001 0001- 00011 0011- 00110 0110- 01100 1100- 11000	[CMМ]=[mа]об^м;[Рг mс]=0;[Рг mв]= [mв]об^м [CMМ]; [Рг mc]; [CMМ]= [CMМ]+ [Рг mв] c1=1; [CMM]; [Рг mc]; [CMМ]= [CMМ]+ [Рг mв] c2=1; [CMM]; [Рг mc]; [CMМ]= [CMМ]+ [Рг mв] c3=0; [CMM]; [Рг mc]; [CMМ]= [CMМ]+ [Рг mв] c4=0; [CMM]; [Рг mc]; [CMМ]= [CMМ]+ [Рг mв] c5=0;

[СМП]:=[РгР_a]+[РгР_в]

1,100

+

1,101

1,001

+ 1

1,010

Ответ: С=-0,001112^-5