… complex ones can be constructed using more XOR gates as a function of more than 2 of
the … Thus we have defined three isomorphic rings in the spaces of Boolean algebra, modulo …

… Since there is a well-understood symbol for XOR gates, it is generally easier to think of
XOR as a "standard gate" and use it in the same way as AND and OR in circuit diagrams. …

… The low FRET values, corresponding to output of 0, were in most cases below 0.2, but
values around 0.3 were observed in the initial state of the AND, OR, and XOR gates, which may …

… 41 XOR gates and depth 3 after applying SBP heuristic, whereas the previously best-known
cost is 45 XOR gates … of linear layers with multiple-input XOR gates, we enhance the recently …

… ) respectively, to highlight the use of XOR gates in them. … Boolean functions. Since a
property of symmetric functions is used in this design, some information about symmetric Boolean …

… are used, and XOR-AND-Inverter-Graphs (XAIGs [2]), where XOR gates are assumed as
well. Solutions with different costs of XOR gates are produced and their properties evaluated. …

… Boolean functions (operators) George Boole developed Boolean algebra in 1847 to
solve problems in mathematical logic. Claude Shannon applied the special case of binary …

… of XOR gates, while keeping the number of AND gates unchanged. For this purpose, we
exploit an existing SATbased algorithm to minimize the number of XOR gates in logic networks …

… Many PLDs include XOR gates as one of their main components which make the utilization
of XOR logic much more practical. Furthermore, many FPGA architectures remove any …

… working OR and XOR gates made with a … Boolean logic gates, the simplest of which
requires 11 circuit elements [13]. In this paper, we will demonstrate how to perform Boolean logic …