Digital Logic Gates and Arithmetic Operations

The output difference is 0.

The primary outputs of a Full Adder are Sum (S) and Carry (Cout).

A Half Subtractor has two inputs: A (minuend) and B (subtrahend).

<p>Three full adders are used.</p> Signup and view all the answers

<p>The control signal M should be 1.</p> Signup and view all the answers

<p>The Cin input in a Full Adder represents an input carry that is added to the sum of inputs A and B.</p> Signup and view all the answers

<p>A half adder cannot handle carry input from previous digits.</p> Signup and view all the answers

<p>The Full Subtractor performs subtraction of three input bits and has three inputs: two significant bits and a previous borrow bit.</p> Signup and view all the answers

<p>When both inputs A and B are 1, the Half Subtractor outputs a difference (D) of 0 and a borrow (Bo) of 0.</p> Signup and view all the answers

<p>The borrow output is 1.</p> Signup and view all the answers

<p>The output difference is 0.</p> Signup and view all the answers

<p>A Full Subtractor can be implemented with two Half Subtractors and one OR gate.</p> Signup and view all the answers

<p>The XOR gate complements its input if the other input is 1.</p> Signup and view all the answers

<p>The Sum (S) represents the result of the addition, while Carry (Cout) indicates whether there is a carry-out to the next significant bit position.</p> Signup and view all the answers

<p>The output should be S2S1S0 = 011.</p> Signup and view all the answers

<p>A Full Adder can add three bits including a carry-in, while a Half Adder only adds two bits without considering a carry-in.</p> Signup and view all the answers

<p>A binary decoder converts binary information from the encoded input to a unique output line.</p> Signup and view all the answers

<p>Binary decoders are used in memory address decoding and data multiplexing.</p> Signup and view all the answers

<p>A 4x1 multiplexer selects one of the four input signals and forwards it to a single output based on two selection inputs.</p> Signup and view all the answers

<p>An 8x1 multiplexer has three data selector inputs: S0, S1, and S2.</p> Signup and view all the answers

<p>The output Y will be 1.</p> Signup and view all the answers

<p>If I0 is 0, the output Y will also be 0.</p> Signup and view all the answers

<p>Input I2 is selected when S2S1S0 = 010.</p> Signup and view all the answers

<p>The selection inputs determine which specific data input is directed to the output based on their binary value.</p> Signup and view all the answers

<p>An 8x1 Multiplexer selects one of the 8 input lines based on 3 selection inputs and outputs the chosen input value.</p> Signup and view all the answers

<p>Three selection lines are needed for an 8x1 Multiplexer.</p> Signup and view all the answers

<p>The output will be I2.</p> Signup and view all the answers

<p>A 16-input multiplexer can be implemented using multiple 2-input multiplexers.</p> Signup and view all the answers

<p>A Demultiplexer is a combinational logic circuit that routes information from a single input line to multiple output lines based on select lines.</p> Signup and view all the answers

<p>A 1x4 Demultiplexer has four output lines.</p> Signup and view all the answers

<p>The expected output is Y0=1.</p> Signup and view all the answers

<p>A common application of a multiplexer is in data routing, where multiple data sources need to be sent over a single line.</p> Signup and view all the answers

<p>The selection lines S0 and S1 serve as control inputs that dictate which output line (Y0, Y1, Y2, or Y3) receives the data input I based on their binary combination.</p> Signup and view all the answers

<p>The binary values assigned to S0 and S1 unlock a specific output based on their combinations, allowing only one output to be active at a time for a given data input.</p> Signup and view all the answers

<p>Three selection lines (S0, S1, S2) are used in a 1x8 demultiplexer to control which of the eight output lines receives the input data.</p> Signup and view all the answers

<p>Changing S1 from 0 to 1 while the input is 1 would deactivate output Y0 and activate output Y1 based on the selection table.</p> Signup and view all the answers

<p>When S0 and S1 are both set to 1 and the input I is 0, all output lines Y0, Y1, Y2, and Y3 will remain at 0.</p> Signup and view all the answers

<p>The main inputs of an SR flip flop are S (Set) and R (Reset), representing the states Q=1 (set) and Q=0 (reset), respectively.</p> Signup and view all the answers

<p>An SR flip flop enters an undefined state when both inputs S and R are equal to 1 simultaneously.</p> Signup and view all the answers

<p>The D flip flop samples the input D when the enable signal (En) is at 1, and it directly connects D to the S input while its complement goes to R.</p> Signup and view all the answers

<p>When the enable signal is 0, both inputs of the SR latch are held at 1, and the circuit cannot change state regardless of the D input value.</p> Signup and view all the answers

<p>An SR flip flop is composed of two cross-coupled NAND or NOR gates, creating a bistable circuit with two outputs, Q and Q'.</p> Signup and view all the answers

<p>The master JK flip flop stores the intermediate state based on inputs, while the slave responds to the master's output during the subsequent clock cycle.</p> Signup and view all the answers

<p>The primary advantage of a D flip flop is that it eliminates the possibility of entering an undefined state due to its single data input.</p> Signup and view all the answers

<p>Documenting the output and procedure is important to verify the correct functioning of the circuit and provides a reference for educational purposes.</p> Signup and view all the answers