Initial Commit with everything done

2021-04-13 00:07:23 +03:00
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+// This file is part of www.nand2tetris.org
+// and the book "The Elements of Computing Systems"
+// by Nisan and Schocken, MIT Press.
+// File name: projects/02/ALU.hdl
+
+/**
+ * The ALU (Arithmetic Logic Unit).
+ * Computes one of the following functions:
+ * x+y, x-y, y-x, 0, 1, -1, x, y, -x, -y, !x, !y,
+ * x+1, y+1, x-1, y-1, x&y, x|y on two 16-bit inputs, 
+ * according to 6 input bits denoted notZX,nx,notZY,ny,f,no.
+ * In addition, the ALU computes two 1-bit outputs:
+ * if the ALU output == 0, zr is set to 1; otherwise zr is set to 0;
+ * if the ALU output < 0, ng is set to 1; otherwise ng is set to 0.
+ */
+
+// Implementation: the ALU logic manipulates the x and y inputs
+// and operates on the resulting values, as follows:
+// if (notZX == 1) set x = 0        // 16-bit constant
+// if (nx == 1) set x = !x       // bitwise not
+// if (notZY == 1) set y = 0        // 16-bit constant
+// if (ny == 1) set y = !y       // bitwise not
+// if (f == 1)  set out = x + y  // integer 2's complement addition
+// if (f == 0)  set out = x & y  // bitwise and
+// if (no == 1) set out = !out   // bitwise not
+// if (out == 0) set zr = 1
+// if (out < 0) set ng = 1
+
+CHIP ALU {
+    IN  
+        x[16], y[16],  // 16-bit inputs        
+        zx, // zero the x input?
+        nx, // negate the x input?
+        zy, // zero the y input?
+        ny, // negate the y input?
+        f,  // compute out = x + y (if 1) or x & y (if 0)
+        no; // negate the out output?
+
+    OUT 
+        out[16], // 16-bit output
+        zr, // 1 if (out == 0), 0 otherwise
+        ng; // 1 if (out < 0),  0 otherwise
+
+    PARTS:
+   // Put you code here:
+    Not(in=zx,out=notZX);
+    Not(in=zy,out=notZY);
+    And16(a[0]=notZX,a[1]=notZX,a[2]=notZX,a[3]=notZX,a[4]=notZX,a[5]=notZX,a[6]=notZX,a[7]=notZX,a[8]=notZX,a[9]=notZX,a[10]=notZX,a[11]=notZX,a[12]=notZX,a[13]=notZX,a[14]=notZX,a[15]=notZX,b=x,out=ZX);
+    And16(a[0]=notZY,a[1]=notZY,a[2]=notZY,a[3]=notZY,a[4]=notZY,a[5]=notZY,a[6]=notZY,a[7]=notZY,a[8]=notZY,a[9]=notZY,a[10]=notZY,a[11]=notZY,a[12]=notZY,a[13]=notZY,a[14]=notZY,a[15]=notZY,b=y,out=ZY);
+    Xor16(a[0]=nx,a[1]=nx,a[2]=nx,a[3]=nx,a[4]=nx,a[5]=nx,a[6]=nx,a[7]=nx,a[8]=nx,a[9]=nx,a[10]=nx,a[11]=nx,a[12]=nx,a[13]=nx,a[14]=nx,a[15]=nx,b=ZX,out=NX);
+    Xor16(a[0]=ny,a[1]=ny,a[2]=ny,a[3]=ny,a[4]=ny,a[5]=ny,a[6]=ny,a[7]=ny,a[8]=ny,a[9]=ny,a[10]=ny,a[11]=ny,a[12]=ny,a[13]=ny,a[14]=ny,a[15]=ny,b=ZY,out=NY);
+    Add16(a=NX,b=NY,out=sumout);
+    And16(a=NX,b=NY,out=andout);
+    Not(in=f,out=notF);
+    And16(a[0]=f,a[1]=f,a[2]=f,a[3]=f,a[4]=f,a[5]=f,a[6]=f,a[7]=f,a[8]=f,a[9]=f,a[10]=f,a[11]=f,a[12]=f,a[13]=f,a[14]=f,a[15]=f,b=sumout,out=out1);
+    And16(a[0]=notF,a[1]=notF,a[2]=notF,a[3]=notF,a[4]=notF,a[5]=notF,a[6]=notF,a[7]=notF,a[8]=notF,a[9]=notF,a[10]=notF,a[11]=notF,a[12]=notF,a[13]=notF,a[14]=notF,a[15]=notF,b=andout,out=out2);
+    Xor16(a=out1,b=out2,out=out3);
+    Xor16(a[0]=no,a[1]=no,a[2]=no,a[3]=no,a[4]=no,a[5]=no,a[6]=no,a[7]=no,a[8]=no,a[9]=no,a[10]=no,a[11]=no,a[12]=no,a[13]=no,a[14]=no,a[15]=no,b=out3,out=output);
+    And16(a=output,b=output,out=out);
+    Not16(in=output,out=notOut);
+    Add16Way(in=notOut,out=zr);
+    CheckPin16(in=output,out=ng);
+}
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+// This file is part of www.nand2tetris.org
+// and the book "The Elements of Computing Systems"
+// by Nisan and Schocken, MIT Press.
+// File name: projects/02/Adder16.hdl
+
+/**
+ * Adds two 16-bit values.
+ * The most significant carry bit is ignored.
+ */
+
+CHIP Add16 {
+    IN a[16], b[16];
+    OUT out[16];
+
+    PARTS:
+   // Put you code here:
+   FullAdder(a=a[0],b=b[0],c=false,sum=out[0],carry=carry1);
+   FullAdder(a=a[1],b=b[1],c=carry1,sum=out[1],carry=carry2);
+   FullAdder(a=a[2],b=b[2],c=carry2,sum=out[2],carry=carry3);
+   FullAdder(a=a[3],b=b[3],c=carry3,sum=out[3],carry=carry4);
+   FullAdder(a=a[4],b=b[4],c=carry4,sum=out[4],carry=carry5);
+   FullAdder(a=a[5],b=b[5],c=carry5,sum=out[5],carry=carry6);
+   FullAdder(a=a[6],b=b[6],c=carry6,sum=out[6],carry=carry7);
+   FullAdder(a=a[7],b=b[7],c=carry7,sum=out[7],carry=carry8);
+   FullAdder(a=a[8],b=b[8],c=carry8,sum=out[8],carry=carry9);
+   FullAdder(a=a[9],b=b[9],c=carry9,sum=out[9],carry=carry10);
+   FullAdder(a=a[10],b=b[10],c=carry10,sum=out[10],carry=carry11);
+   FullAdder(a=a[11],b=b[11],c=carry11,sum=out[11],carry=carry12);
+   FullAdder(a=a[12],b=b[12],c=carry12,sum=out[12],carry=carry13);
+   FullAdder(a=a[13],b=b[13],c=carry13,sum=out[13],carry=carry14);
+   FullAdder(a=a[14],b=b[14],c=carry14,sum=out[14],carry=carry15);
+   FullAdder(a=a[15],b=b[15],c=carry15,sum=out[15],carry=carry16);
+}
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+// This file is part of www.nand2tetris.org
+// and the book "The Elements of Computing Systems"
+// by Nisan and Schocken, MIT Press.
+// File name: projects/02/FullAdder.hdl
+
+/**
+ * Computes the sum of three bits.
+ */
+
+CHIP FullAdder {
+    IN a, b, c;  // 1-bit inputs
+    OUT sum,     // Right bit of a + b + c
+        carry;   // Left bit of a + b + c
+
+    PARTS:
+    HalfAdder(a=a,b=b,sum=sum1,carry=carry1);
+    HalfAdder(a=sum1,b=c,sum=sum,carry=carry2);
+    Xor(a=carry1,b=carry2,out=carry);
+}
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+// This file is part of www.nand2tetris.org
+// and the book "The Elements of Computing Systems"
+// by Nisan and Schocken, MIT Press.
+// File name: projects/02/HalfAdder.hdl
+
+/**
+ * Computes the sum of two bits.
+ */
+
+CHIP HalfAdder {
+    IN a, b;    // 1-bit inputs
+    OUT sum,    // Right bit of a + b 
+        carry;  // Left bit of a + b
+
+    PARTS:
+    Xor(a=a,b=b,out=sum);
+    And(a=a,b=b,out=carry);
+}
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+// This file is part of www.nand2tetris.org
+// and the book "The Elements of Computing Systems"
+// by Nisan and Schocken, MIT Press.
+// File name: projects/02/Inc16.hdl
+
+/**
+ * 16-bit incrementer:
+ * out = in + 1 (arithmetic addition)
+ */
+
+CHIP Inc16 {
+    IN in[16];
+    OUT out[16];
+
+    PARTS:
+   HalfAdder(a=in[0],b=true,sum=out[0],carry=carry1);
+   HalfAdder(a=in[1],b=carry1,sum=out[1],carry=carry2);
+   HalfAdder(a=in[2],b=carry2,sum=out[2],carry=carry3);
+   HalfAdder(a=in[3],b=carry3,sum=out[3],carry=carry4);
+   HalfAdder(a=in[4],b=carry4,sum=out[4],carry=carry5);
+   HalfAdder(a=in[5],b=carry5,sum=out[5],carry=carry6);
+   HalfAdder(a=in[6],b=carry6,sum=out[6],carry=carry7);
+   HalfAdder(a=in[7],b=carry7,sum=out[7],carry=carry8);
+   HalfAdder(a=in[8],b=carry8,sum=out[8],carry=carry9);
+   HalfAdder(a=in[9],b=carry9,sum=out[9],carry=carry10);
+   HalfAdder(a=in[10],b=carry10,sum=out[10],carry=carry11);
+   HalfAdder(a=in[11],b=carry11,sum=out[11],carry=carry12);
+   HalfAdder(a=in[12],b=carry12,sum=out[12],carry=carry13);
+   HalfAdder(a=in[13],b=carry13,sum=out[13],carry=carry14);
+   HalfAdder(a=in[14],b=carry14,sum=out[14],carry=carry15);
+   HalfAdder(a=in[15],b=carry15,sum=out[15],carry=carry16);
+
+}