Question
IMPLEMENT THE BOOLEAN FUNCTIONS IN LOGISIM!!!! PLEASE SHOW HOW THESE FUNCTIONS ARE DONE USING THE GATES (a) F = C (A + B) + A'
IMPLEMENT THE BOOLEAN FUNCTIONS IN LOGISIM!!!! PLEASE SHOW HOW THESE FUNCTIONS ARE DONE USING THE GATES
(a) F = C (A + B) + A' B' C'
(b) F' = (A + C)(A + B')(A' + B + C') =
(c) Convert your SID into binary for only 8 digits. Place the corresponding binary digit in position j into the table on the right in row j of the truth table for F ; the least significant bit should start in position 0. For example, if your SID is 123456789, in binary it is 111010110111100110100010101. The lower 8 bits (shown here underlined) go into the table starting from the right to the left in positions 0 to 7 respectively. (PLEASE SHOW HOW TO CONVERT)
j | A | B | C | F |
0 | 0 | 0 | 0 | |
1 | 0 | 0 | 1 | |
2 | 0 | 1 | 0 | |
3 | 0 | 1 | 1 | |
4 | 1 | 0 | 0 | |
5 | 1 | 0 | 1 | |
6 | 1 | 1 | 0 | |
7 | 1 | 1 | 1 |
(i) Write the Boolean function for F using sum of minterms in either variable (ABC) or mj form and implement it in Logisim and save the file as SID_4f.circ.
(ii) Write the Boolean function for F using product of maxterms in either variable (ABC) or Mj form and implement it in Logisim and save the file as SID_4g.circ.
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