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MO401 5.1
2006
Prof. Paulo Cesar Centoducatte
www.ic.unicamp.br/~ducatte
MC542
Organização de ComputadoresTeoria e Prática
MO401 5.2
MC542
Circuitos Lógicos
Circuitos CombinacionáisBlocos Básicos
“Fundamentals of Digital Logic with VHDL Design” - (Capítulo 6)
MO401 5.3
Circuitos Combinacionáis: Blocos Básicos Sumário
• Multiplexador– Implementação de Funções Lógicas Usando Mux
• Decodificador• Codificador• Codificador de Prioridade• Conversores • Comparador• VHDL para Circuito Combinacional
– Select– Atribuição Condicional– Processos
» If-Then-Else» Case
MO401 5.4
Multiplexador: 2 para 1 (2:1)
Tabela Verdade
01
fs
w0w1
transmission gates
w 0
w 1 f
s
Símbolo Gráfico
f
s
w0w1
01
fs
w0
w1
Suma-de-produtos
MO401 5.5
Multiplexador: 4 para 1 (4:1)
f
s 1
w 0
w 1
00
01
s 0
w 2
w 3
10
11
w 0
w 1
0
0
1
1
1
0
1
f s 1
0
s 0
w 2
w 3
f
s 1
w 0
w 1
s 0
w 2
w 3
MO401 5.6
Mux 4:1 a partir de Mux 2:1
0
w 0
w 1
0
1
w 2
w 3
0
1
f 0
1
s 1
s
MO401 5.7
Mux 16:1
w 8
w 11
s 1
w 0
s 0
w 3
w 4
w 7
w 12
w 15
s 3
s 2
f
MO401 5.8
Exemplo de Uso de Mux 2x2 crossbar switch
x 1 x 2
y 1 y 2
s
x 1 0
1
x 2 0
1
s
y 1
y 2
MO401 5.9
Síntese de Funções Lógicas Usando MUX
0
1
0
0
1
1
1
0
1
f w 1
0
w 2
1
0
f
w 1
0
1
w 2
1
0
0
1
0
0
1
1
1
0
1
f w 1
0
w 2
1
0
0
1
f w 1
w 2
w 2
f
w 2
w 1
MO401 5.10
Exemplo
w3
w3
000
11
1
01
fw1
0
w2
1
0 0
0 1
1 0
1 1
0
0
0
1
0 0
0 1
1 0
1 1
0
1
1
1
w1 w2 w3 f
0
0
0
0
1
1
1
1
f
w1
0
w2
1
w3
MO401 5.11
Exempo
0 0
0 1
1 0
1 1
0
1
1
0
0 0
0 1
1 0
1 1
1
0
0
1
w1 w2 w3 f
0
0
0
0
1
1
1
1
w2 w3
w2 w3
f
w3
w1
w2
MO401 5.12
Exemplo
f
w 1
w 2
w 3
0 0
0 1
1 0
1 1
0
1
1
0
0 0
0 1
1 0
1 1
1
0
0
1
w 1
w 2
w 3
f
0
0
0
0
1
1
1
1
w 3
w 3
w 3
w 3
MO401 5.13
ExemploMaioria de uns
0 0
0 1
1 0
1 1
0
0
0
1
0 0
0 1
1 0
1 1
0
1
1
1
w 1
w 2
w 3
f
0
0
0
0
1
1
1
1
0
1
f w 1
w 2 w
3
w 2
w 3
+
f
w 3
w 1 w
2
MO401 5.14
ExemploMaioria de uns
(a) Using a 2-to-1 multiplexer
f
w 2
w 1
w 3
f
w 1
w 2
w 3
(b) Using a 4-to-1 multiplexer
1
MO401 5.15
Decodificador
0
w n 1 –
n
inputs
EnEnable
2 n
outputs
y 0
y 2 n 1 –
w
MO401 5.16
Decodicifador 2:4
0
0
1
1
1
0
1
y 0
w 1
0
w 0
x x
1
1
0
1
1
En
0
0
0
1
0
y 1
1
0
0
0
0
y 2
0
1
0
0
0
y 3
0
0
1
0
0
w 0
En
y 0 w 1 y 1
y 2 y 3
w 1
w 0
y 0
y 1
y 2
y 3
En
MO401 5.17
Decodicifador 3:8 Usando 2:4
w 2
w 0 y 0
y 1
y 2
y 3
w 0
En
y 0
w 1 y 1
y 2
y 3
w 0
En
y 0
w 1 y 1
y 2
y 3
y 4
y 5
y 6
y 7
w 1
En
MO401 5.18
Decodicifador 4:16 Usando 2:4
w 0
En
y 0 w 1 y 1
y 2 y 3
y 8 y 9 y 10y 11
w 2
w 0 y 0 y 1 y 2 y 3
w 0
En
y 0 w 1 y 1
y 2 y 3
w 0
En
y 0 w 1 y 1
y 2 y 3
y 4 y 5 y 6 y 7
w 1
w 0
En
y 0 w 1 y 1
y 2 y 3
y 12y 13y 14y 15
w 0
En
y 0 w 1 y 1
y 2 y 3
w 3
En
MO401 5.19
Memória 2m x n read-only memory (ROM)
Sel 2
Sel 1
Sel 0
Sel 2 m 1 –
Address
Read
d 0 d n 1 – d n 2 –
m -to-2
m
d
ecod
er
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1
Data
a 0 a 1
a m 1 –
MO401 5.20
Codificador
2n-to-n binary encoder
2 n
inputs
w 0
w 2 n 1 –
y 0
y n 1 –
n
outputs
MO401 5.21
Codificador Binário 4:2
0
0
1
1
1
0
1
w 3
y 1
0
y 0
0
0
1
0
w 2
0
1
0
0
w 1
1
0
0
0
w 0
0
0
0
1
w 1
w 0
y 0
w 2
w 3
y 1
MO401 5.22
Codificador de Prioridade
d
0
0
1
0
1
0
w0
y1
d
y0
1 1
0
1
1
1
1
z
1
x
x
0
x
w1
0
1
x
0
x
w2
0
0
1
0
x
w3
0
0
0
0
1
Exercício: Qual o Circuito Lógico?
MO401 5.23
Conversor BCD para Código Display de 7 segmentos
1 0
1 1
1
1 1
w 0 a
1
b
0 1
1 1
1
0 1
1
0 1
0
0
w 1
0
1 1
0
0
w 2
0
0 0
0
1
w 3
0
0 0
0
0
c
1 0
1
0
0 1
1
0
1 1
1
0
0 0
0
1 1 0 0 1
1 1 1
1
0 1
1
0
1 1
1 1
1
1
1
0 1 1
1
d
0
1 0
0
1 0
e
1 0 1
1
1
0 1
0
0 1
0 0 0
1
f
1
0 0
1
1 1
g
1 0 1
1
1
1 1
1
0 1
w 0
a
w 1
b c d w 2
w 3 e f g
c e
a
g
b f
d
Display 7-segmentos
MO401 5.24
Comparador de 4 bits
i 0
i 1
i 2
i 3
b 0
a 0
b 1
a 1
b 2
a 2
b 3
a 3
AeqB
AgtB
AltB
MO401 5.25
Circuito CombinacionalVHDL
• Comandos de Atribuição:– Mux 2:1 - Comando Select
LIBRARY ieee ;USE ieee.std_logic_1164.all ;
ENTITY mux2to1 ISPORT (w0, w1, s : IN STD_LOGIC ;
f : OUT STD_LOGIC ) ;END mux2to1 ;
ARCHITECTURE Behavior OF mux2to1 ISBEGIN
WITH s SELECTf <= w0 WHEN '0',
w1 WHEN OTHERS ;END Behavior ;
MO401 5.26
Circuito CombinacionalVHDL
• Mux 4:1 – Comando Select
LIBRARY ieee ;USE ieee.std_logic_1164.all ;
ENTITY mux4to1 ISPORT ( w0, w1, w2, w3 : IN STD_LOGIC ;
s : IN STD_LOGIC_VECTOR(1 DOWNTO 0) ;f : OUT STD_LOGIC ) ;
END mux4to1 ;
ARCHITECTURE Behavior OF mux4to1 ISBEGIN
WITH s SELECTf <= w0 WHEN "00",
w1 WHEN "01",w2 WHEN "10",w3 WHEN OTHERS ;
END Behavior ;
MO401 5.27
Circuito CombinacionalVHDL
• Mux 4:1 - Como um Componente
LIBRARY ieee ;USE ieee.std_logic_1164.all ;
PACKAGE mux4to1_package ISCOMPONENT mux4to1
PORT ( w0, w1, w2, w3 : IN STD_LOGIC ;s : IN STD_LOGIC_VECTOR(1 DOWNTO 0) ;f : OUT STD_LOGIC ) ;
END COMPONENT ;END mux4to1_package ;
MO401 5.28
• Mux 16:1 usando o Componente Mux 4:1
LIBRARY ieee ;USE ieee.std_logic_1164.all ;LIBRARY work ;USE work.mux4to1_package.all ;
ENTITY mux16to1 ISPORT ( w : IN STD_LOGIC_VECTOR(0 TO 15) ;
s : IN STD_LOGIC_VECTOR(3 DOWNTO 0) ;f : OUT STD_LOGIC ) ;
END mux16to1 ;
ARCHITECTURE Structure OF mux16to1 ISSIGNAL m : STD_LOGIC_VECTOR(0 TO 3) ;
BEGINMux1: mux4to1 PORT MAP ( w(0), w(1), w(2), w(3), s(1 DOWNTO 0), m(0) ) ;Mux2: mux4to1 PORT MAP ( w(4), w(5), w(6), w(7), s(1 DOWNTO 0), m(1) ) ;Mux3: mux4to1 PORT MAP ( w(8), w(9), w(10), w(11), s(1 DOWNTO 0), m(2) ) ;Mux4: mux4to1 PORT MAP ( w(12), w(13), w(14), w(15), s(1 DOWNTO 0), m(3) ) ;Mux5: mux4to1 PORT MAP
( m(0), m(1), m(2), m(3), s(3 DOWNTO 2), f ) ;END Structure ;
MO401 5.29
Decodificador Binário
LIBRARY ieee ;USE ieee.std_logic_1164.all ;
ENTITY dec2to4 ISPORT ( w : IN STD_LOGIC_VECTOR(1 DOWNTO 0) ;
En : IN STD_LOGIC ;y : OUT STD_LOGIC_VECTOR(0 TO 3) ) ;
END dec2to4 ;
ARCHITECTURE Behavior OF dec2to4 ISSIGNAL Enw : STD_LOGIC_VECTOR(2 DOWNTO 0) ;
BEGINEnw <= En & w ;WITH Enw SELECT
y <= "1000" WHEN "100","0100" WHEN "101","0010" WHEN "110","0001" WHEN "111","0000" WHEN OTHERS ;
END Behavior ;
MO401 5.30
Circuito CombinacionalVHDL
• Mux 2:1 Comando Condicional
LIBRARY ieee ;USE ieee.std_logic_1164.all ;
ENTITY mux2to1 ISPORT ( w0, w1, s : IN STD_LOGIC ;
f : OUT STD_LOGIC ) ;END mux2to1 ;
ARCHITECTURE Behavior OF mux2to1 ISBEGIN
f <= w0 WHEN s = '0' ELSE w1 ;END Behavior ;
MO401 5.31
Circuito CombinacionalVHDL• Processo (mux 2:1)
– Comando IF-Then-Else
LIBRARY ieee ;USE ieee.std_logic_1164.all ;
ENTITY mux2to1 ISPORT ( w0, w1, s : IN STD_LOGIC ;
f : OUT STD_LOGIC ) ;END mux2to1 ;
ARCHITECTURE Behavior OF mux2to1 ISBEGIN
PROCESS ( w0, w1, s )BEGIN
IF s = '0' THENf <= w0 ;
ELSEf <= w1 ;
END IF ;END PROCESS ;
END Behavior ;
MO401 5.32
Circuito CombinacionalVHDL
• Processo (mux 2:1 – alternativo)
LIBRARY ieee ;USE ieee.std_logic_1164.all ;
ENTITY mux2to1 ISPORT ( w0, w1, s : IN STD_LOGIC ;
f : OUT STD_LOGIC ) ;END mux2to1 ;
ARCHITECTURE Behavior OF mux2to1 ISBEGIN
PROCESS ( w0, w1, s )BEGIN
f <= w0 ;IF s = '1' THEN
f <= w1 ;END IF ;
END PROCESS ;END Behavior ;
MO401 5.33
Exercício: Qual o Bloco implementado?
LIBRARY ieee ;USE ieee.std_logic_1164.all ;ENTITY priority IS
PORT ( w : IN STD_LOGIC_VECTOR(3 DOWNTO 0) ;y : OUT STD_LOGIC_VECTOR(1 DOWNTO 0) ;z : OUT STD_LOGIC ) ;
END priority ;
ARCHITECTURE Behavior OF xxxxxxx? ISBEGINPROCESS ( w )BEGIN
IF w(3) = '1' THENy <= "11" ;
ELSIF w(2) = '1' THEN y <= "10" ;
ELSIF w(1) = '1' THENy <= "01" ;
ELSEy <= "00" ;
END IF ;END PROCESS ;z <= '0' WHEN w = "0000" ELSE '1' ;
END Behavior ;
MO401 5.34
Circuito CombinacionalVHDL• Processo (Comando Case)
LIBRARY ieee ;USE ieee.std_logic_1164.all ;
ENTITY mux2to1 ISPORT ( w0, w1, s : IN STD_LOGIC ;
f : OUT STD_LOGIC ) ;END mux2to1 ;
ARCHITECTURE Behavior OF mux2to1 ISBEGIN
PROCESS ( w0, w1, s )BEGIN
CASE s ISWHEN '0' =>
f <= w0 ;WHEN OTHERS =>
f <= w1 ;END CASE ;
END PROCESS ;END Behavior ;
MO401 5.35
LIBRARY ieee ;USE ieee.std_logic_1164.all ;ENTITY seg7 IS
PORT ( bcd : IN STD_LOGIC_VECTOR(3 DOWNTO 0) ;leds : OUT STD_LOGIC_VECTOR(1 TO 7) ) ;
END seg7 ;ARCHITECTURE Behavior OF seg7 ISBEGIN
PROCESS ( bcd )BEGIN
CASE bcd IS -- abcdefgWHEN "0000" => leds <= "1111110" ;WHEN "0001" => leds <= "0110000" ;WHEN "0010" => leds <= "1101101" ;WHEN "0011" => leds <= "1111001" ;WHEN "0100" => leds <= "0110011" ;WHEN "0101" => leds <= "1011011" ;WHEN "0110" => leds <= "1011111" ;WHEN "0111" => leds <= "1110000" ;WHEN "1000" => leds <= "1111111" ;WHEN "1001" => leds <= "1110011" ;WHEN OTHERS => leds <= "-------" ;
END CASE ;END PROCESS ;
END Behavior ;
Decodificadorde 7 segmentos
MO401 5.36
74381 ALU
MO401 5.37
74381 ALU
LIBRARY ieee ;USE ieee.std_logic_1164.all ;USE ieee.std_logic_unsigned.all ;
ENTITY alu ISPORT ( s : IN STD_LOGIC_VECTOR(2 DOWNTO 0) ;
A, B : IN STD_LOGIC_VECTOR(3 DOWNTO 0) ;F : OUT STD_LOGIC_VECTOR(3 DOWNTO 0) ) ;
END alu ;
MO401 5.38
74381 ALUARCHITECTURE Behavior OF alu ISBEGIN
PROCESS ( s, A, B )BEGIN
CASE s ISWHEN "000" =>
F <= "0000" ;WHEN "001" =>
F <= B - A ;WHEN "010" =>
F <= A - B ;WHEN "011" =>
F <= A + B ;WHEN "100" =>
F <= A XOR B ;WHEN "101" =>
F <= A OR B ;WHEN "110" =>
F <= A AND B ;WHEN OTHERS =>
F <= "1111" ;END CASE ;
END PROCESS ;END Behavior ;
MO401 5.39
74381 ALU
