Can anyone plz explain me the main concept of mapping reducibility on Turing machine and what the symbols stands for plz
Stacey Warren - Expert brainly.com
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If you mean the computer created by Turnig
dot or no space AND, AB
+ for OR, A+B
these are logic symbol used generally where A, B are binary bits
Having to registers of binary bits one can add with binary addition using the above logic in proper sequence, as half adder or full adder
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Thank u very much I really appreciated ur effort although still have a bit confused
A B Ci S Co
0+0+0 = 0 0
0+0+1 = 1 0
0+1+0 = 1 0
0+1+1 = 0 1
1+0+0 = 1 0
1+0+1 = 0 1
1+1+0 = 0 1
1+1+1 = 1 1
S = A'B'Ci + A'BCi' + AB'Ci' + ABCi
S = (A'B' + AB)Ci +(A'B + AB')Ci'
1) S = (A'B +AB')'Ci + (A'B +AB')Ci'
FYI A'B +AB' is know as Exclusive OR
Co = A'BCi + AB'Ci +ABCi' + ABCi
Co = (A'B + AB' + AB)Ci +ABCi'
Co = (A +B)Ci + ABCi'
2) Co = (A'B')'Ci ABCi'
A' is NotA ie A = 1 then A' = 0 and visa versa
S is sum
Ci is carry in from previous bit
Co is carry out, become Ci in next bit
Equation 1 and 2 are developed from truth table and minimized using Boolean Algebra, there's other procedure like Carnap? mapping, Equation 1 an 2 can be implemented with AND,OR, NOT(inverter) logic gates.