[Solved]Full Subtractor Combinational Circuit Used Perform Subtraction Three Input Bits Minuend X Q37104175

The full subtractor is a combinational circuit, which is used to perform subtraction of three input bits the minuend X, subtrahend Y, and borrow in Bin The full subtractor generates two outputs bits: the difference D and borrow out Bout Bin is set when the previous digit borrowed from X. Thus, Bin is also subtracted from X as well as the subtrahend Y, or in symbols: X-Y- Bin The full subtractor generates a borrow out when it needs to borrow from the next digit. Since we are subtracting X by Y and Bin, a borrow out needs to be generated when X<Y+ Bin. When a borrow out is generated, 2 is added in the current digit (This is similar to the subtraction algorithm in decimal. Instead of adding 2, we add 10 when we borrow). Therefore, the arithmetic equation for the full subtractor can be expressed as: Bout-1,if X< (Y+Bin) For example: lf inputs Х:0, Y:0, Bin 1, the outputs Bouts], D 1 If inputs X-0, Y-1, Bin-1, the outputs Bout-1, D 0 1) List the true table (note: there are 3 inputs and 2 outputs) for the full subtractor. Derive the simplified logic expressions for the outputs Bout and D in the full subtractor. You need to apply Boolean algebra laws for simplification and show the working steps. Use the least amount of logic gates to design the digital circuit diagram for the full subtractor (you can use AND gate, OR gate, NOT gate, XOR gate, Exclusive NOR gate) Write a MATLAB script to generate the truth table for the Boolean expression and display it in the MATLAB command window (use logical functions: and, not, or, xor) 2) 3) 4) FULL SUBTRACTOR Bout Bin Show transcribed image text The full subtractor is a combinational circuit, which is used to perform subtraction of three input bits the minuend X, subtrahend Y, and borrow in Bin The full subtractor generates two outputs bits: the difference D and borrow out Bout Bin is set when the previous digit borrowed from X. Thus, Bin is also subtracted from X as well as the subtrahend Y, or in symbols: X-Y- Bin The full subtractor generates a borrow out when it needs to borrow from the next digit. Since we are subtracting X by Y and Bin, a borrow out needs to be generated when X

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