Results The lab experiment was done in two parts, one with the NAND, NOR, XOR and Hex Inverters and the other with a 7483 full adder gate, both will verify the truth table when two input bits and a carry are added together. The circuits were built by examining the 1 bits through a K-Map to create a Boolean expression for the sum and carry. The Boolean expression for the sum was A⊕B⊕C and the carry as AB+BC_in+AC_in. From these two expressions, we notice that we must use two exclusive-ORs gates in the sum inputs for A, B, and C. For the sum, we have to use NOR and NAND (the only available gates from the lab manual). Both sum and carry are added in the same circuit and we will use the pin diagrams to make the proper connections. The circuit diagram …show more content…
This will allow us to add two binary number together once it is built. There was an issue with the carry output LED turning on or off. The original schematics were modified by adding hex inverters after the output of the two NAND gate and last NOR gate. After fixing the issue, we successfully proven the truth table to the corresponding inputs and outputs. If the input were 1, 0, and 1 (A, B, and Cin), then the A and B input are added together along with the Cin.: 1 + 0 + 1 (carry) = 10. For this binary addition, the carry out will be 1 and sum out will be 0. As proven in the pictures for both circuit experiments, the sum LED light is OFF and the carry out LED is ON. Aer example, if the input were 1, 1, and 1 (A, B, and Cin), the result will be 1 + 1+ 1 (carry) = 11, the sum out will be 1 and carry is 1; therefore the sum and carry LED light are both ON. This proves that we prove our theoretical results of the truth table with our experimental …show more content…
In the demonstration, we only add a 2-bit (a0,b0) with another 2-bit binary (a1,b1) together. In the first picture on the last section of the Figures/Graphs, we added 01 and 00 together and the result was 01; the first LED on the right turns ON and the second LED is stilled turned OFF. In the last two pictures, 01 + 00 = 10 (the second LED turned on and the first one was OFF) and 11 + 11 = 110; the LED indicate this long results, the carry out was 1 and the sum (s1, s0) was 1 and 0. This circuit allowed us to understand the idea of full adders ICs which can be used in electronics like computers, tablets, etc. to add binaries together to perform specific functions and desired