TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Component: The binder composition further comprises a conductive material (205). The conductive material comprises organic conductive material, organic-inorganic conductive material, inorganic conductive material, metal material, organic-metal material, or inorganic-metal material. The conductive material comprises carbonaceous material, lithium-cobalt oxide, lithium-manganese oxide, lithium-nickel oxide, lithium-cobalt-nickel oxide, lithium-cobalt-nickel-manganese oxide, or lithium-iron-phosphorus oxide. Preferred Component: The binder composition also comprises a catalyst (206). The catalyst comprises platinum, ruthenium, platinum-ruthenium alloy, platinum-tin alloy, platinum-tungsten alloy, or platinum-molybdenum alloy.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Component: The solvent comprises gamma -butyrolactone (GBL), 1-methyl-2-pyrrolidinone (NMP), dimethylacetamide (DMAC), N,N-dimethylformamide (DMF), dimethyl sulfoxide (DMSO), dimethylamine (DMA), tetrahydrofuran (THF), methyl ethyl ketone (MEK), propylene carbonate (PC), water, and/or isopropyl alcohol (IPA).    TECHNOLOGY FOCUS - POLYMERS - Preferred Component: The hyperbranched polymer comprises a polymer prepared by polymerizing a bismaleimide-containing compound with a barbituric acid. The hyperbranched polymer is present at 5-30, preferably 10-25 pts.wt. based on 100 pts.wt. of the hyperbranched polymer and the polymer with high ion conductivity. The polymer with high ion conductivity comprises Nafion (RTM: perfluoro-sulfonic acid polymer), sulfonated poly(ether ether ketone)(s-PEEK), sulfonated polyimides (s-PI), phosphoric acid/polybenzimidazole polymer (p-PBI), sulfonated poly(phenylene oxide) (s-PPO), sulfonated poly(arylene ether sulfone) (s-PES), or sulfonated poly(4-phenoxybenzoyl-1,4-phenylene) (s-PPBP). Molar ratio of bismaleimide-containing compound and barbituric acid is 20:1-1:5, preferably 5:1-1:2. The bismaleimide-containing compound comprises optionally substituted bismaleimide monomer or optionally substituted bismaleimide oligomer, and is selected from compounds (A)-(C).n=greater than 1. EXAMPLE - A bismaleimide-containing compound (A) was respectively dissolved in gamma -butyrolactone (GBL) and reacted with barbituric acid at 130 degrees C for 6 hours, where molar ratio of the bismaleimide-containing compound and barbituric acid was 2:1 (with a solid content of 20 wt.%). By filtration and drying, hyperbranched polymer (A) with degree of branching of 50% was obtained. The hyperbranched polymer (A) was mixed with sulfonated poly(ether ether ketone) (s-PEEK having a solid content of 20 wt.% and a degree of sulfonation of 67%, dissolved in 1-methyl-2-pyrrolidinone). After stirring for 1 hour, the mixture was depressurized at low temperature to expel air bubbles to obtain binder composition (A), where weight ratio of the hyperbranched polymer(A) and the s-PEEK was 15:85.