Show how a 4-bit to1-bit multiplexer can be used to give: (i) The 2-input NAND function. (ii) The 2-input XOR function.
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- B) Design an Octal-to-Binary (8-to-3) Encoder, and then draw a block diagram for Octal-to- Binary Encoder.Draw the logic diagram and transistor implementation for a (2-2-2) AOI.1. Derive an equation for a 6 to 1 multiplexer. 2. Using the equation in (1), produce a gate network for the multiplexer. Use any gate seen in class.
- find the output of each gate (OR - AND-NOT-NOR- NAND -XOR) by using 3 inputs (A,B,C)?(b) For a two-input OR gate, Find the standard SOP and POS expressions as a function of input variables.4) Write the function table for the given 1-bit ALU in the figure. Ainvert Binvert LO B invert Carry in (MUX) Carryin CarryOut Operation Operation (MUX) Result AND OR ADD SUB NAND NOR Result
- 5-For Binary-weighted resistor DAC of more than 4-bits, Binary Weighted Quads are used. Explain the operation of 8-bit binary quads DAC.Describe a multiplexer from two 8-bit inputs to one 1-bit output using the case-when construction.Q1) Design a digital circuit that performs the four logic operations of NAND, NOR, exclusive-OR and exclusive-NOR. Use two selection variables. Show the logic diagram of one typical stage.
- a) Design Binary Ripple Counter using D-flipflop. b) Design asynchronous 4-bit UP-Down counter.A circuit in Figure Q.2a compares 2-bit binary numbers, P and Q represented by PiPo and QiQo respectively. Note that Po and Qo are LSB. (a) Determine under which condition Z will be '1'. (b) Redesign the circuit using active-high 4-to-16 decoder and a logic gate. Z P1 Q1 Figure 2a Po Qo D5- Determine an alternative method for implement the full-adder. Hint: Write the expressions of the circuit and simplify using icarnaugh map.Then implement using AND-OR gates. 6- Design a logic cct using NAND gate and convert BCD code to Excess-3code.