University of Florida EEL 3701 Dr. Eric M. Schwartz ... of Florida EEL 3701 Dr. Eric M. Schwartz...
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University of Florida EEL 3701 Dr. Eric M. Schwartz Department of Electrical & Computer Engineering Homework 2 Solutions Page 1/8 Problem 1: VCC C_H INPUT VCC B_H INPUT VCC C_H INPUT VCC A_H INPUT VCC A_H INPUT VCC B_H INPUT X_H OUTPUT Y_H OUTPUT NOT 13 NOT 25 NOT 15 NOT 21 NOT 12 NOT 14 OR2 17 OR2 24 OR2 18 OR2 16 AND2 19 AND2 23 AND2 22 AND2 26 X = /(/A + B) * (B + /C) 1 a) Y = (A + /B) * /(/B * /C + B * C) 1 b) Problem 2: VCC C_L INPUT VCC A_L INPUT VCC B_H INPUT VCC C_H INPUT VCC B_H INPUT VCC A_L INPUT X_H OUTPUT Y_H OUTPUT OR2 35 AND2 30 AND2 33 AND2 31 NOR2 50 NOR2 57 BOR2 54 BAND2 56 2 a) 2 b) X = /(/A + B) * (B + /C) Y = (A + /B) * /(/B * /C + B * C) Problem 3: VCC C_L INPUT VCC D_H INPUT VCC A_L INPUT VCC B_H INPUT X_L OUTPUT NOT 68 NOR2 60 BOR2 59 BAND2 58 B /D 2 1 '02 3 00 4 02 04 /A /(/A + B) /(/A + B) 02 02 2 3 1 5 6 C /[ /(/A + B) * C ] 1 2 /{ /[ /(/A + B) * C ] + /D } Problem 4: a) 12-bit unsigned binary = 1010 1111 1111 = 2048+512+255 = 2815 b) 12-bit sign magnitude = -(512+255) = -767 c) 12-bit 1’s complement = -(0101 0000 0000) = -(1024+256) = -1280 d) 12-bit 2’s complement = -(0101 0000 0001) = -(1024+256+1) = -1281 e) 12-bit BCD = not a valid BCD number
Transcript of University of Florida EEL 3701 Dr. Eric M. Schwartz ... of Florida EEL 3701 Dr. Eric M. Schwartz...
University of Florida EEL 3701 Dr. Eric M. Schwartz Department of Electrical & Computer Engineering Homework 2 Solutions Page 1/8 Problem 1:
VCCC_H INPUT
VCCB_H INPUT
VCCC_H INPUT
VCCA_H INPUT
VCCA_H INPUT
VCCB_H INPUT X_HOUTPUT
Y_HOUTPUT
NOT
13
NOT
25
NOT
15NOT
21
NOT
12
NOT
14
OR2
17
OR2
24
OR2
18
OR2
16AND2
19
AND2
23
AND2
22
AND2
26
X = /(/A + B) * (B + /C)1 a)
Y = (A + /B) * /(/B * /C + B * C)1 b)
Problem 2:
VCCC_L INPUT
VCCA_L INPUT
VCCB_H INPUT
VCCC_H INPUT
VCCB_H INPUT
VCCA_L INPUT
X_HOUTPUT
Y_HOUTPUT
OR2
35
AND2
30
AND2
33
AND2
31
NOR2
50
NOR2
57
BOR2
54BAND2
56
2 a)
2 b)
X = /(/A + B) * (B + /C)
Y = (A + /B) * /(/B * /C + B * C)
Problem 3:
VCCC_L INPUT
VCCD_H INPUT
VCCA_L INPUT
VCCB_H INPUT
X_LOUTPUT
NOT
68
NOR2
60 BOR2
59
BAND2
58B
/D
21'02
3
00
40204
/A/(/A + B)
/(/A + B)
02
02
2
31
5
6
C
/[ /(/A + B) * C ]1
2
/{ /[ /(/A + B) * C ] + /D }
Problem 4: a) 12-bit unsigned binary = 1010 1111 1111 = 2048+512+255 = 2815
b) 12-bit sign magnitude = -(512+255) = -767 c) 12-bit 1’s complement = -(0101 0000 0000) = -(1024+256) = -1280 d) 12-bit 2’s complement = -(0101 0000 0001) = -(1024+256+1) = -1281 e) 12-bit BCD = not a valid BCD number
University of Florida EEL 3701 Dr. Eric M. Schwartz Department of Electrical & Computer Engineering Homework 2 Solutions Page 2/8 Problem 5:
3 bit signed 3 bit 1’s compl 3 bit 2’s compl 000 0 0 0 001 1 1 1 010 2 2 2 011 3 3 3 100 (-)0 -3 -4 101 -1 -2 -3 110 -2 -1 -2 111 -3 (-)0 -1
Problem 6: 1 1001 25 * 1 0110 *22 11 0010 50 110 01 50 1 1001 550 10 0010 0110 Problem 7:
a) 1001 0101 149 + 0111 1111 +127
1 0001 0100 276
b) 8 bit 2’s complement: 1001 0101 -107 + 0111 1111 +127
(1) 0001 0100 20 Ignore the(1)
c) 8 bit signed complement: 1001 0101 -21 + 0111 1111 +127
106 Since the first number is negative and the second number is positive, I’ll subtract the first number (unsigned) from the second.
0111 1111 +127 - 0001 0101 -21
0110 1010 106 Since the answer is positive, I’ll leave the sign bit as a zero. d) Problem a) is not valid 276 > 2^8 (256). Problems b) and c)
are valid.
University of Florida EEL 3701 Dr. Eric M. Schwartz Department of Electrical & Computer Engineering Homework 2 Solutions Page 3/8
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University of Florida EEL 3701 Dr. Eric M. Schwartz Department of Electrical & Computer Engineering Homework 2 Solutions Page 7/8
Roth 6th: 1.17
Roth 6th: 1.20
Roth 6th: 1.32
University of Florida EEL 3701 Dr. Eric M. Schwartz Department of Electrical & Computer Engineering Homework 2 Solutions Page 8/8
Roth 6th: 1.34
