(Solved): 1. It is desired to realize the function of a 3-input "odd parity checker". Specifically, the output ...

1. It is desired to realize the function of a 3-input "odd parity checker". Specifically, the output y is to be high when an odd number of the inputs are high. Show your truth table and simplify using K-map and implement using NOR gates ONLY and using NAND gates ONLY. 2. Design a \( (2 \times 4) \) decoder using NOR gates ONLY 3. Design a BCD (Binary Coded Decimal, 0 ~ 9) to 7-Segment decoder. A digital display that consists of 7 LED (Light emitting diodes) segments is commonly used to display decimal numerals in digital systems (or in calculators or digital watches. It is shown below. Designate the inputs by A, B, C and D. Construct the truth table, the K-Map, simplify and implement using NAND gates only. 4. How would you design a \( 32: 1 \) multiplexer if you have two \( 16: 1 \) Multiplexers and one \( 2: 1 \) multiplexer only? How would you design a \( 4 \times 16 \) decoder with five \( 2 \times 4 \) decoders with enable? 5. Design a 4-bit combinational circuit 2's compliment. The output is the 2's compliment of a 4-bit binary number \( b \quad b \quad b \quad b \quad \) using Ex-OR qates \[ 3210 \]