-
-
: ..., . .
..., . .
. .
: .;
..., ..
, , . . .
2204 , 0611 5515 -
.
. - . . .
, . . :
XVI=X+V+I=10+5+1=1610
IX=X-I=10-1=910
- . :
x(q) = a n-1 q n-1 + a n-2 q n-2+ ... + a 1q1 + a0q0 + a-1q-1 +...+amqm
:
x(q) - q;
a i - i- ;
n - ;
m - .
q, , , , - , .
, () . .
2,8,16 - , , .
.
:
|
|
- ;
- ;
- q1 q2.
?
?
, .
q, q , , 0, , q. q , , .
, 1, 2,..., 8, 9, A(10), B(11), C(12), D(13), E(14), F(15).
q q ( ) , . q . q, ( ) k+1. (k+1)- k- .
: 9510 :
) :
1 | |||||||
:9510 = 10111112 |
) :
:9510 = 1378 | |||
) :
F | |||
:9510 = 5F16 |
0, , 0.
: 0.95 , 2, 8, 16, :
) : ) : ) :
F | ||||||||
|
|
: 0.9510 = 0.1111012 = 0.758 = 0.F316
q .
: 123.58 .
123.5810 =12310 + 0.5810 = 1738 + 0.458 = 173.458
q (1). (1) , .
: : )111011.011, )154.31, )2.3 .
111011.0112 = 1*25 +1*24 +1*23 +0*22 +1*21 +1*20 +0*2-1 +1*2-2 +1*2-3 =
=32 +16+8+2+1+1/4+1/8=59.37510
154.318 = 1*82 +5*81 +4*80 +3*8-1 +1*8-2 = 64+ 40+ 4+ 3/8+ 1/64 =
=108.39062510
2.316 = *162 +2*161 +*160 +3*16-1 +*16-2 = 3840+32+11+3/16+12/256 = 3883.23437510
q1 q2 .
, .
- , : 23 - 24 - .
, - .
:
1
2
A | |
B | |
C | |
D | |
E | |
F |
() () . () , , . () - , . () , , . (), . () () .
() () . . .
|
|
:
) | 1101110011.01101012 | = | 011. | = | 1563.3248 | |||||||||||||
) | 2076.3058 = | 6, | = | 10000111110,0110001012 | ||||||||||||||
110, | ||||||||||||||||||
) | 11011011110100.10110011012= | 0100, | = | ||||||
F | B |
= 36F4.B3416
) A2E.1D16 = 101000101110.1100000111012