boolskalgebra.md

Boolsk algebra og digital logikk

Oppgave 1

a) $A_{10} = -11$ $B_{10} = -13$ $A_2 = 110101$ $B_2 = 110011$ $A_2 + B_2 = 101000$

b) $C = 160$ $D = 7$ $C_2 = 10011111$ $D_2 = 00000111$ $C_2 - D_2 = 10011001$

Oppgave 2

A	B	C	Z
0	0	0	1
0	0	1	0
0	1	0	1
0	1	1	1
1	0	0	0
1	0	1	1
1	1	0	1
1	1	1	1

$Z = \overline{ABC} + \overline{A}B\overline{C} + \overline{A}BC + A\overline{B}C + AB\overline{C} + ABC$

Oppgave 3

A	B	F
0	0	1
0	1	1
1	0	0
1	1	1

Oppgave 4

a) $L_0 = 1$ $L_1 = \bar{A_1}\bar{A_2}\bar{A_3} + AB\bar{C} = \bar{C}(\bar{A}\bar{B} + AB)$

Oppgave 10

$X$	$Y$	$\overline{X + Y}$	$\bar{X} \cdot \bar{Y}$
0	0	1	1
0	1	0	0
1	0	0	0
1	1	0	0