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1. Top results related to logic gates truth table

   • Logic Gates - Definition, Types, Uses, Truth table

     Logic gates are the fundamental components of all digital circuits and systems. In digital electronics, there are seven main types of logic gates used to perform various logical operations. A logic gate is basically an electronic circuit designed by using components like diodes, transistors, resistors, capacitors, etc., and capable of performing logical operations. In this article, we will study the definition, truth table, and other related concepts of logic gates. So let’s start with the basic introduction of logic gates.

     Table of Content

     • What is a Logic Gate?
     • Types of Logic Gates
     • AND Gate
     • OR Gate
     • NOT Gate
     • NOR Gate
     • NAND Gate
     • XOR Gate
     • XNOR Gate
     • Applications of Logic Gates

     What is a Logic Gate?A logic gate is an electronic circuit designed by using electronic components like diodes, transistors, resistors, and more. As the name implies, a logic gate is designed to perform logical operations in digital systems like computers, communication systems, etc.

     Therefore, we can say that the building blocks of a digital circuit are logic gates, which execute numerous logical operations that are required by any digital circuit. A logic gate can take two or more inputs but only produce one output. The output of a logic gate depends on the combination of inputs and the logical operation that the logic gate performs....

     • AND Gate
     • OR Gate
     • NOT Gate
     • NOR Gate
     • NAND Gate
     • XOR Gate
     • XNOR Gate
     • AND gate can accept two or more than two input values at a time.
     • When all of the inputs are logic 1, the output of this gate is logic 1.
     • It can have two or more input lines at a time.
     • When all of the inputs to the OR gate are low or logic 0, the output of it is low or logic 0.
     • A NOR gate can have two or more inputs and gives an output.
     • A NOR gate gives a high or logic 1 output only when its all inputs are low or logic 0.
     • NAND gate can take two or more inputs at a time and produces one output based on the combination of inputs applied.
     • NAND gate produces a low or logic 0 output only when its all inputs are high or logic 1.
     • It can accept only two inputs at a time. There is nothing like a three or more input XOR gate.
     • The output of the XOR gate is logic 1 or high, when its inputs are dissimilar.
     • XNOR gate takes only two inputs and produces one output.
     • The output of the XNOR gate is high or logic 1 only when it has similar inputs.
     • Computers
     • Microprocessors
     • Microcontrollers
     • Digital and smart watches
     • Smartphones, etc.

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   • Logic Gates and Truth Tables

     Top Answer

     Answered Mar 13, 2017 · 2 votes

     Apart from the correct observation that you're only using the initial inputs, your logic also isn't correct.

     The 'OR' field will always be "1 or TRUE" as written. Remember that using the javascript OR, the two pipes: || will only check the first part if it return true.

     Your code:

     if (binary == 1 || binarytwo == 1){ document.getElementById("or").innerHTML = "1 or TRUE" }else if (binary == 1 || binarytwo == 0){ document.getElementById("or").innerHTML = "1 or TRUE" }else if (binary == 0 || binarytwo == 1){ document.getElementById("or").innerHTML = "1 or TRUE" }

     Look what happens here. Let's assume binary equals 1: if (binary == 1 || binarytwo == 1) { is true, since binary == 1 and the rest is skipped. So else if (binary == 1 || binarytwo == 0){ will never be executed.

     If binary = 0, then the first 3 will never be executed and only }else if (binary == 0 || binarytwo == 1){ will get checked. This will always succeed, sicne binary is always 0 when this gets triggered. The check that binarytwo == 1 never happens, because the || has already succeeded for binary == 0

     So you're more looking for logic like this:

     if (binary == 1 && binarytwo == 1) console.log('both are TRUE: AND');else if (binary == 1 || binarytwo == 1) console.log('one is true: OR');else console.log('both are FALSE');

     If you ahve to say 'AND' as well when both are false, you can just fold the last else into the first:

     if ( (binary == 1 && binarytwo == 1) || (binary == 0 && binarytwo == 0) ) console.log('AND');else console.log('OR');

     Check all answers on Stack Overflow

     2/5

   • Truth-table reduction to ternary logic operations, vpternlog

     Top Answer

     Answered Dec 12, 2017 · 5 votes

     How to translate a truth table to a sequence of vpternlog instructions.

     • Translate the truth table into a logical formula; use e.g., Logic Friday.
     • Store the logical formula in Synopsys equation format (.eqn). E.g., I used a network with 6 input nodes A to F, two output nodes F0 and F1, and a somewhat complicated (non unate) Boolean function.

     Content of BF_Q6.eqn:

     INORDER = A B C D E F; OUTORDER = F0 F1;F0 = (!A*!B*!C*!D*!E*F) + (!A*!B*!C*!D*E*!F) + (!A*!B*!C*D*!E*!F) + (!A*!B*C*!D*!E*!F) + (!A*B*!C*!D*!E*!F) + (A*!B*!C*!D*!E*!F);F1 = (!A*!B*!C*!D*E) + (!A*!B*!C*D*!E) + (!A*!B*C*!D*!E) + (!A*B*!C*!D*!E) + (A*!B*!C*!D*!E);

     • Use "ABC: A System for Sequential Synthesis and Verification" from the Berkeley Verification and Synthesis Research Center. I used the windows version. Get ABC here.

     In ABC I run:

     abc 01> read_eqn BF_Q6.eqnabc 02> choice; if -K 3; psabc 03> lutpack -N 3 -S 3; psabc 04> showabc 05> write_bench BF_Q6.bench

     You may need to run choice; if -K 3; ps multiple time to get better results.

     The resulting BF_Q6.bench contains the 3-LUTs for an FPGA:

     INPUT(A)INPUT(B)INPUT(C)INPUT(D)INPUT(E)INPUT(F)OUTPUT(F0)OUTPUT(F1)n11 = LUT 0x01 ( B, C, D )n12 = LUT 0x1 ( A, E )n14 = LUT 0x9 ( A, E )n16 = LUT 0xe9 ( B, C, D )n18 = LUT 0x2 ( n11, n14 )F1 = LUT 0xae ( n18, n12, n16 )n21 = LUT 0xd9 ( F, n11, n14 )n22 = LUT 0xd9 ( F, n12, n16 )F0 = LUT 0x95 ( F, n21, n22 )

     4. This can be translated to C++ mechanically:

     __m512i not(__m512i a) { return _mm512_xor_si512(a, _mm512_set1_epi32(-1)); }__m512i binary(__m512i a, __m512i b, int i) { switch (i) { case 0: return _mm512_setzero_si512(); case 1: return not(_mm512_or_si512(a, b)); case 2: return _mm512_andnot_si512(a, b); case 3: return not(a); case 4: return _mm512_andnot_si512(b, a); case 5: return not(b); case 6: return _mm512_xor_si512(a, b); case 7: return not(_mm512_and_si512(a, b)); case 8: return _mm512_and_si512(a, b); case 9: return not(_mm512_xor_si512(a, b)); case 10: return b; case 11: return _mm512_or_si512(not(a), b); case 12: return a; case 13: return mm512_or_si512(a, not(b)); case 14: return _mm512_or_si512(a, b); case 15: return _mm512_set1_epi32(-1); default: return _mm512_setzero_si512(); }}void BF_Q6(const __m512i A, const __m512i B, const __m512i C, const __m512i D, const __m512i E, const __m512i F, __m512i& F0, __m512i& F1) { const auto n11 = _mm512_ternarylogic_epi64(B, C, D, 0x01); const auto n12 = binary(A, E, 0x1); const auto n14 = binary(A, E, 0x9); const auto n16 = _mm512_ternarylogic_epi64(B, C, D, 0xe9); const auto n18 = binary(n11, n14, 0x2); F1 = _mm512_ternarylogic_epi64(n18, n12, n16, 0xae); const auto n21 = _mm512_ternarylogic_epi64(F, n11, n14, 0xd9); const auto n22 = _mm512_ternarylogic_epi64(F, n12, n16, 0xd9); F0 = _mm512_ternarylogic_epi64(F, n21, n22, 0x95);}

     The question remains whether the resulting C++ code is optimal. I don't think that this method (often) yields the smallest networks of 3-LUTs, simply because this problem is NP-hard. Additionally, it is not possible to inform ABC about instruction parallelism, and it is not possible to prioritize the order of variables such that variables that will be used later are not in the first position of the LUT (since the first source operand is overwritten with the result). But the compiler may be smart enough to do such optimizations.

     ICC18 gives the following assembly:

     00007FF75DCE1340 sub rsp,78h00007FF75DCE1344 vmovups xmmword ptr [rsp+40h],xmm1500007FF75DCE134A vmovups zmm2,zmmword ptr [r9]00007FF75DCE1350 vmovups zmm1,zmmword ptr [r8]00007FF75DCE1356 vmovups zmm5,zmmword ptr [rdx]00007FF75DCE135C vmovups zmm4,zmmword ptr [rcx]00007FF75DCE1362 vpternlogd zmm15, zmm15, zmm15, 0FFh00007FF75DCE1369 vpternlogq zmm5, zmm1, zmm2, 0E9h00007FF75DCE1370 vmovaps zmm3, zmm200007FF75DCE1376 mov rax, qword ptr[&E]00007FF75DCE137E vpternlogq zmm3, zmm1, zmmword ptr[rdx], 100007FF75DCE1385 mov r11, qword ptr[&F]00007FF75DCE138D mov rcx, qword ptr[F0]00007FF75DCE1395 mov r10, qword ptr[F1]00007FF75DCE139D vpord zmm0, zmm4, zmmword ptr[rax]00007FF75DCE13A3 vpxord zmm4, zmm4, zmmword ptr[rax]00007FF75DCE13A9 vpxord zmm0, zmm0, zmm1500007FF75DCE13AF vpxord zmm15, zmm4, zmm1500007FF75DCE13B5 vpandnd zmm1, zmm3, zmm1500007FF75DCE13BB vpternlogq zmm1, zmm0, zmm5, 0AEh00007FF75DCE13C2 vpternlogq zmm15, zmm3, zmmword ptr[r11], 0CBh ^^^^^ ^^^^^^^^^^^^^^^^ 00007FF75DCE13C9 vpternlogq zmm5, zmm0, zmmword ptr[r11], 0CBh00007FF75DCE13D0 vmovups zmmword ptr[r10], zmm100007FF75DCE13D6 vpternlogq zmm5, zmm15, zmmword ptr[r11], 87h 00007FF75DCE13DD vmovups zmmword ptr [rcx],zmm500007FF75DCE13E3 vzeroupper00007FF75DCE13E6 vmovups xmm15,xmmword ptr [rsp+40h]00007FF75DCE13EC add rsp,78h00007FF75DCE13F0 ret

     ICC18 is able to change the variable ordering in const auto n22 = _mm512_ternarylogic_epi64(F, n12, n16, 0xd9); to vpternlogq zmm15, zmm3, zmmword ptr[r11], 0CBh such that variable F is not overwritten. (But strangely enough fetched from memory 3 times...)

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     3/5

   • Logic Gates: Realize OR gate using ONLY XOR gates

     Top Answer

     Answered Jun 20, 2020 · 19 votes

     You can't derive an OR (or AND, NOR, NAND) gate from only XOR (or XNOR) gates, because they are not universal gates.

     Here is an argument against XOR and XNOR as universal gates.

     An XOR gate is a parity generator. Cascading parity generators always produce parity generators. AND and OR are not parity functions.

     An XOR gate can be used as an inverter. An XNOR gate is an XOR followed by an inverter, so it is also a parity generator.

     To be an universal gate, a gate needs to satisfy both the following conditions:

     • You should be able to create an inverter using the gate.
     • You should be able to block the input (i.e. setting N - 1 inputs to 0 or 1, the remaining input is ignored)

     Check all answers on Stack Overflow

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2. www.elprocus.com › basic-logic-gates-Basic Logic Gates with Truth Tables - Digital Logic Circuits

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   The basic logic gates are classified into seven types: AND gate, OR gate, XOR gate, NAND gate, NOR gate, XNOR gate, and NOT gate. The truth table is used to show the logic gate function. All the logic gates have two inputs except the NOT gate, which has only one input. When drawing a truth table, the binary values 0 and 1 are used.

3. www.geeksforgeeks.org › logic-gatesLogic Gates - Definition, Types, Uses, Truth table

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   May 3, 2024 · A logic gate is a digital gate that allows data to be manipulated. Logic gates, use logic to determine whether or not to pass a signal. Logic gates, on the other hand, govern the flow of information based on a set of rules. The logic gates can be classified into the following major types: 1. Basic Logic Gates.

4. www.theengineerspost.com › logic-gates-with-truthLogic Gates with Truth Table [AND, OR, NAND, NOR]

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   Jan 16, 2024 · All logic gates follow their truth table. Digital logic gates are made to form RTL (resistor-transistor logic) or DTL (diode-transistor logic) circuits from discrete parts such as resistors, transistors, and diodes. The most “standard” personal digital logic gates along with their respective truth tables are described below. Read Also ...

5. www.electronics-tutorials.ws › boolean › bool_7Boolean Algebra Truth Tables for Logic Gate Functions

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   As well as a standard Boolean Expression, the input and output information of any Logic Gate or circuit can be plotted into standard Boolean Algebra truth tables to give a visual representation of the switching function of the system. The table used to represent the boolean expression of a logic gate function is commonly called a Truth Table.

6. byjus.com › jee › basic-logic-gatesBasic Logic Gates - Types, Functions, Truth Table and Boolean ...

   byjus.com › jee › basic-logic-gates

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   Application of Logic Gates. Logic gates have a lot of applications, but they are mainly based on their mode of operations or their truth table. Basic logic gates are often found in circuits such as safety thermostats, push-button locks, automatic watering systems, light-activated burglar alarms and many other electronic devices.

7. www.geeksforgeeks.org › truth-tableTruth Table - Construction, Solved Examples and Applications

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   Jan 25, 2024 · Truth Table Definition. A Truth Table is a table that lists all the possible combinations of inputs and their corresponding outputs. It shows how the output of logic circuits changes with different combinations of logic levels at the input. It is mostly associated with Boolean algebra or areas where Boolean logic is used.

8. People also ask

   What is a logic gates truth table?

   • This truth table shows the relationship between each output of the main digital logic gates for each possible input combination. The following logic gates truth table compares the logical functions of the 2-input logic gates detailed above.

   Digital Logic Gates Tutorial - Logic Gates Truth Table

   www.electronics-tutorials.ws/logic/logic_10.html

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   How many types of logic gates are there?

   • The basic logic gates are classified into seven types: AND gate, OR gate, XOR gate, NAND gate, NOR gate, XNOR gate, and NOT gate. The truth table is used to show the logic gate function. All the logic gates have two inputs except the NOT gate, which has only one input. When drawing a truth table, the binary values 0 and 1 are used.

   Basic Logic Gates with Truth Tables - Digital Logic Circuits - ElProCus

   www.elprocus.com/basic-logic-gates-with-truth-tables/

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   What is a truth table in logic?

   • A truth table lists possible combinations of inputs and similar outputs. All logic gates follow their truth table. Digital logic gates are made to form RTL (resistor-transistor logic) or DTL (diode-transistor logic) circuits from discrete parts such as resistors, transistors, and diodes.

   Logic Gates with Truth Table [AND, OR, NAND, NOR] PDF - The Enginee…

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   How to form a logic gate using a Boolean expression & truth table?

   • The Boolean expression & truth table is shown below. Y = (A+B)’ The Ex-OR gate can be formed using NOT, AND & OR gate. The Boolean expression & truth table is shown below. This logic gate can be defined as the gate that gives high output once any input of this is high. If both the inputs of this gate are high then the output will be low.

   Basic Logic Gates with Truth Tables - Digital Logic Circuits - ElProCus

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9. www.electronics-tutorials.ws › logic › logic_10Digital Logic Gates Tutorial - Logic Gates Truth Table

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   1. 1. 0. Boolean Expression Q = not A or A. Read as inverse of. A gives Q. The operation of the above Digital Logic Gates and their Boolean expressions can be summarised into a single truth table as shown below. This truth table shows the relationship between each output of the main digital logic gates for each possible input combination.