2.4.2.17. Ternary Adders Implementing ternary adders can increase resource usage in Intel® Hyperflex™ architecture FPGAs. However, unless your design heavily relies on ternary adder structure, additional resource usage may not be noticeable at the top design level.

Ternary half adders and full adders have ternary inputs and outputs and binary carry inputs and outputs. Ternary values (0,1,2) corresponding to 0, V dd/2 and V dd voltage levels According to the circuit style that is used, the binary values may have levels 0 and V dd/2 or 0 and V dd. The technique used in [ 9] is based on multiplexers.

The Altera core (ternary_adder_altera.vhd) is a high-level implementation using the '+' operator. However, the ternary subtract operations (x y +z, x+y z and x y z) are not supported by a high-level description; so this is realized by extending the word size of the ternary adders and setting the lower bits to appropriate constant values.

Structures and methods of implementing an adder circuit in a programmable logic device (PLD). The PLD includes dual-output lookup tables (LUTs) and additional programmable logic elements. The adder circuit includes a 3:2 (3 to 2) compressor circuit that maps three input busses into two compressed busses, and a 2-input cascade adder circuit that adds the two compressed busses to yield the final ...

For the ternary version, Ai and Bi are ternary values, while Ci are binary values. In the literature, ternary adders are sometimes presented with ternary carries. We consider them as ternary compressors that could be used in Wallace trees for multiplication. For ternary additions, the carries are always binary. Fig. 1: Carry Propagate Adder

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A new low-transistor-count, high-speed ternary half adder is presented in this paper. Carbon nanotube field effect transistors are utilized to realize the new design methodology. The given structure also benefits from high driving power and capability of operating in low voltages. It has only 26 transistors.

New Ternary Half Adder Adder is a fundamental component for all arithmetic operations such as subtraction, multiplication, and division. Half adder is the simplest adder block which performs addition of two input signals. The proposed ternary half adder is illustrated in Figure 2, in which diameters of CNTs are indicated for each transistor.

A full adder adds binary numbers and accounts for values carried in as well as out. A one-bit full-adder adds three one-bit numbers, often written as A, B, and C in; A and B are the operands, and C in is a bit carried in from the previous less-significant stage. The full adder is usually a component in a cascade of adders, which add 8, 16, 32, etc. bit binary numbers.

The proposed full adder design has 423 ternary cells, area 0.09 µm 2 and cost 647.19, and the full subtractor has 431 ternary cells, area 0.09 µm 2 and cost 710.7. For validation, the circuits were simulated with the TQCAsim software. The results of this innovation show that the proposed architecture has significant advantages. Introduction

The proposed dynamic ternary half adder operates 21% faster, consumes 23% less power, and has even 14 fewer transistors than its static counterpart. 1 Introduction The increment of on-chip interconnections has led to higher overhead expenditures and undesirable effects on delay, power, and area parameters [ 1 ].

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Is the claim in UG384 about 6LUT-based ternary adders correct? UG384 says: To conserve carry logic resources when designing with adder trees, the 6-input LUT architecture can efficiently create ternary addition (A \+ B \+ C = D) using the same amount of resources as simple 2-input addition. I am a bit skeptical about this.

Ternary adders. Apparently, it is possible to build ternary adders with the same resources as for regular binary adders. The principle is as follows: - some logic is applied in a bitwise fashion to the 3 vectors and compresses the 3 input bits into only 2 bits

We demonstrated a ternary full adder exhibiting a low power-delay-product of ~10 -16 J, which is comparable to the binary equivalent circuit. The ternary full adder was modeled using device parameters extracted from the experimentally demonstrated multi-Vth ternary graphene barristors.

The conditional (ternary) operator is the only JavaScript operator that takes three operands: a condition followed by a question mark (? ), then an expression to execute if the condition is truthy followed by a colon (: ), and finally the expression to execute if the condition is falsy . This operator is frequently used as an alternative to an ...

In the X++ language of Microsoft Dynamics AX, the ternary operator is a conditional statement that resolves to one of two expressions. This means that a ternary operation statement can be assigned to a variable. In comparison, an if statement provides conditional branching of program flow but cannot be assigned to a variable. Syntax

The state-of-the-art designs of ternary adders are discussed in [9, 13, 14] with discussions on advantages and disadvantages for each one. In this paper, novel ternary CNFET-based full adder cell is proposed. The main idea of designing this adder is based on selecting the output trits (ternary digit) using ternary multiplexers. Hence, a novel ...

The proposed full adder design has 423 ternary cells, area 0.09 µm² and cost 647.19, and the full subtractor has 431 ternary cells, area 0.09 µm² and cost 710.7. For validation, the circuits...

This paper represents an exquisite software platform for designing and simulating circuits which are restricted to three-valued logic (Ternary) quantum-dot cellular automata (QCA) and its energy calculation will be demonstrated. Expand 2 PDF Save Alert

The truth table of a ternary full adder. In the proposed methods the output carry trit will have an exact value. The first reason is that, the Cout output weighs more than Sum output trit and accordingly any false answer of this trit causes more inaccuracy than a false Sum output and the overall error rate of the full adder cell will increase.

Modern FPGAs provide the possibility to realize ternary adders, i.e., adders with three inputs, by using the same hardware resources as for common two-input adders. As shown in Section 2.5.3, the LUTs in RCAs are underutilized or even not used. These LUTs can often not be used to implement other logic functions due to routing constraints.

In this paper, two approximate CNFET-based ternary full adder cells are proposed. The proposed designs considerably reduce the design complexity and the number of transistors by utilizing the...

The proposed full adder design has 423 ternary cells, area 0.09 µm 2 and cost 647.19, and the full subtractor has 431 ternary cells, area 0.09 µm 2 and cost 710.7. For validation, the circuits were simulated with the TQCAsim software. The results of this innovation show that the proposed architecture has significant advantages. References 1.

A new approximate ternary full adder is presented based on CNTFET switching logic with the aim of reducing area and energy consumption and the evaluated peak signal-to-noise ratio and mean structural similarity index metric indicate that the proposed approximate fullAdder has a proper accuracy for image processing applications. Expand 9 Save Alert

Java ternary operator is the only conditional operator that takes three operands. It's a one-liner replacement for the if-then-else statement and is used a lot in Java programming. We can use the ternary operator in place of if-else conditions or even switch conditions using nested ternary operators. Although it follows the same algorithm as ...

We present two versions of ternary adders with Cin = (0V, Vdd/2) and Cin = (0V, Vdd) and two versions of quaternary adders with Cin = (0V, Vdd/3) and Cin = (0V, Vdd). Using full swing Vdd for Cin reduces the propagation delays for ternary and quaternary adders. 6-bit, 4-trit and 3-quit CPAs are then compared. Publication: arXiv e-prints Pub Date: