![]() ![]() It is noteworthy that, not all summations bring a carry with it, however, if it holds a carry then the carry bit is represented as high otherwise low. ![]() FULL SUBTRACTOR CIRCUIT USING AND-OR X XYB-inXY XX B-in X Y XYB-in Difference DYB-in YY X YB-in B-in XYB-inB-inB-inX YB-in XYB-inX Y XXY Y FullB-outB-in X XB-in SubtractorB-outB-in YDB-in YB-in 8.In simple words, we can say, that it adds two binary numbers of 1 bit each and generates the output as the sum and carry. FULL SUBTRACTORSubtracting two single-bit binary values, Y, B-in from a single-bit value X produces a difference bit D and a borrow out B-out bit. Half Subtractor Truth Table D(X,Y) = (1,2) InputsOutputs D = XY + XY XYD B-out D = XY 0000 0111B-out(x, y, C-in) = (1) 1010B-out = XY 1100XDifference DY XHalf D YSubtractor B-OUT B-out 6. This operation is called half subtraction and the circuit to realize it is called a halfsubtractor. X -Y ) produces a difference bit D and a borrow out bit B-out. HALF SUBTRACTORSubtracting a single-bit binary value Y from anther X (I.e. FULL ADDER CIRCUIT USING XOR XY Sum SX Y C-inFull XXYC-outC-inAdderYX XC-inC-outS C-in YC-inYC-in 5. ![]() FULL ADDER CIRCUIT USING AND-OR XXYC-inXY XX C-in X Y XYC-inSum SYC-in YY X YC-in C-inXYC-inC-inC-inX YC-in XYC-in XYXXY Y FullC-outC-in X XC-in AdderC-outC-in Y SC-inYC-in 4. HALF ADDERAdding two single-bit binary values, X, Y produces a sum S bit and a carry out C-outbit.This operation is called half addition and the circuit to realize it is called a half adder.Half Adder Truth TableS(X,Y) = (1,2) Inputs Outputs S = XY + XY X Y S C-outS = XY 0 0 00 0 1 10 C-out(x, y, C-in) = (3) 1 0 10 C-out = XY 1 1 01 XSum S Y XHalfS Y AdderC-OUT C-outĢ. ![]()
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