computers
posted by snfor .
digital logic design
( i have a lot questios so please help me)
Proof that:
A¡¦.B + B¡¦.C¡¦ + A.B + B¡¦.C = 1
Q3 [2 points], According to DeMorgan theorem, the complement of
W . X + Y . Z is W¡¦ + X¡¦ . Y¡¦ + Z¡¦
Yet both functions are 1 for WXYZ = 1110. How can both function and its complement be 1 for the same input combination? What is wrong here?
Q4 [2 points], Write a truth table for the following logic function:
F = A¡¦ . B . (C . B . A¡¦ + B . C¡¦)
Q5 [3 points], List the octal and hexadecimal numbers from 16 to 32. Using the last A, B, C for the last three digits, list the numbers from 8 to 28 in base 13
Q6 [6 points „» each 1.5 point], Do the following SHOW YOUR WORK (IF YOU DO NOT SHOW YOUR WORK YOU WILL EARN ZERO MARK):
b)(27.315)10 =( )2= ( )8
c)What would be the base of the number system if (BEE)r = (2699)10
d)(1.10010)2 = ( )10 = ( )16
Q7 [5 points], Do the followings:
a) Perform the subtraction on the given unsigned numbers using 10¡¦s complement subtraction of the subtrahend (SHOW YOUR WORK)
(1251800) , (6428  3409)
b) Perform the following operations in 10¡¦s complement
(9286) + (+801) , (9286) + (801)
c) [2 points] Convert the decimals +49 and +29 to binary, using the signed2¡¦s complement representation and enough binary digits to accommodate the numbers. Then perform the binary equivalent of (+29) + (49) , (29) + (49)
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