A process for the co-production of high purity isobutane and high purity 1-butene streams, the process comprising: providing a first mixed C4 stream and a second mixed C4 stream, each comprising isobutene, isobutane, 1-butene, and 2-butene, and wherein the first mixed C4 stream has a higher concentration of isobutane than the second mixed C4 stream; feeding the first mixed C4 stream and methanol, as a reactant or selectivator, to a first reaction system for converting isobutene contained therein to methyl tert butyl ether or isobutene dimers; feeding the second mixed C4 stream and methanol, as a reactant or selectivator, to a second reaction system for converting isobutene contained therein to methyl tert butyl ether or isobutene dimers; separating an effluent from the first reaction system in a first separation system, including a water wash system, to recover a first lights stream comprising 1-butene, 2-butene, isobutane, a first methanol+water stream, and a first heavy stream comprising the methyl tert butyl ether or the isobutene dimers; separating an effluent from the second reaction system in a second separation system, including a water wash system, to recover a second lights stream comprising 1-butene, 2-butene, and isobutane, a second methanol+water stream, and a second heavy stream comprising the methyl tert butyl ether or the isobutene dimers; feeding the first and second methanol+water streams to a methanol recovery system to separate methanol from the water and returning at least a portion of the methanol to either or both the first and second reaction systems; feeding the second lights stream to a separation system for recovering an isobutane containing stream, a 1-butene stream, and a first heavy C4 stream comprising n-butanes and 2-butene; feeding the isobutane containing stream and the first lights stream to a separation system for recovering an isobutane stream and a second heavy C4 stream comprising n-butanes and 2-butene. providing a first mixed C4 stream and a second mixed C4 stream, each comprising isobutene, isobutane, 1-butene, and 2-butene, and wherein the first mixed C4 stream has a higher concentration of isobutane than the second mixed C4 stream; feeding the first mixed C4 stream and methanol, as a reactant or selectivator, to a first reaction system for converting isobutene contained therein to methyl tert butyl ether or isobutene dimers; feeding the second mixed C4 stream and methanol, as a reactant or selectivator, to a second reaction system for converting isobutene contained therein to methyl tert butyl ether or isobutene dimers; separating an effluent from the first reaction system in a first separation system, including a water wash system, to recover a first lights stream comprising 1-butene, 2-butene, isobutane, a first methanol+water stream, and a first heavy stream comprising the methyl tert butyl ether or the isobutene dimers; separating an effluent from the second reaction system in a second separation system, including a water wash system, to recover a second lights stream comprising 1-butene, 2-butene, and isobutane, a second methanol+water stream, and a second heavy stream comprising the methyl tert butyl ether or the isobutene dimers; feeding the first and second methanol+water streams to a methanol recovery system to separate methanol from the water and returning at least a portion of the methanol to either or both the first and second reaction systems; feeding the second lights stream to a separation system for recovering an isobutane containing stream, a 1-butene stream, and a first heavy C4 stream comprising n-butanes and 2-butene; feeding the isobutane containing stream and the first lights stream to a separation system for recovering an isobutane stream and a second heavy C4 stream comprising n-butanes and 2-butene.