.
: .
:
1
, , .
10=485 | 2=111100101 | 8=745 | 16=1E5 |
10=970 | 2=1111001010 | 8=1712 | 16=3CA |
10=0,93 | 2=0,1110 | 8=0,7341 | 16=0,EE14 |
10=426,375 | 2=110101000,011000 | 8=650,30 | 16=1A8,60 |
2
q=2n , , , .
1. 8 , 16, 10
2=0,100011 | 8=0,432 |
10=0,546875 | 16=0,8D |
2. 2 , 16, 10
8=345,77 | 2=011100101,11111100 |
10=229,984375 | 16=0E5, |
3. 8 , 2, 10
16=A24,9 | 8=5044,762 |
10= | 2=101000100100,111110010 |
4.1
. |
. |
:
1)
2)
3)
4)
5)
6)
7)
A | B | C | D | C&D | &C&D | & & | &D | A v B | f | |||
f(A;;;D)= v B v & C & D v & & v & & D
|
|
: .
. |
. |
.
: .
:
1)
2)
3)
f(A;;;D)= v B v &C&D v & & v & &D= v B v &C&D v & &(D v )=
=A v B v (C v C&D) =A v B v &C
X v Y=Y v X | X * Y=Y * X | |
X v (Y v X)(X v Y) v Z | (X * Y) * Z=X * (Y * Z) | |
X * (Y v X)=X * Y v X * Z | X v Y * Z=(X v Y)* (X v Z) | |
= * | = v | |
X v X=X | X * X = X | |
X v X * Y=X | X * (X v Y)=X | |
(X * Y) v () = Y | (X v Y) * ()=Y | |
X v =1 | X * =0 | |
X v 0=X; X v 1=1 | X*1=X; X*0=0 | |
=X |
A | B | C | D | f(A;;;D) | A v B v &C |
. |
. |
: .
4.3
.
: .
:
1) .
2) .
3) (4.1) .
4) .
A | B | C | D | f(ABCD) | ||
&D | ||||||
A v B v v D | ||||||
&C&D | ||||||
&D | ||||||
&B&C& | ||||||
&D | ||||||
A&B&C&D |
. |
. |
|
|
f(A;B;C;D)C=
&B&C&
A&B&
f(A;B;C;D)= A v B v v D
: .
. |
. |
: .
:
1) .
2) .
3) .
4) .
5) .
A | B | C | D | f(A;B;C;D) |
f(A;B;C;D)=A v &B v v
f(A;B;C;D)=A v B v v D
: .
. |
. |
- -.
: - -.
:
1.1) .
1.2) .
2) ()
3) .
4) .
5) ( ).
A | B | C | D | f(A;B;C;D) |
f(A;B;C;D)=A v &B v v
f(A;B;C;D)=A v B v v D
|
|
f(A;B;C;D)= A v &B v v =
& lB & & =
l( lB)l()l(
f(A;B;C;D)= A v B v v D= A v B v v D=
AlBl lD= A B D