NOVELTY - Steam reformer comprises: many fluid inlet (111) connection; many fluid outlet (112) connection; many reforming segments formed by splitting annular space between an outer surface of an inner cylindrical shell and an inner surface of an outer cylindrical shell via many segmenting plates; many reforming compartments; a top end plate (109) to seal one end of inner and outer shells; and a bottom end plate (114) comprising fluid inlet and outlet connections to seal other end of inner and outer shells.    USE - The steam reformer is useful for producing hydrogen (claimed).    ADVANTAGE - The steam reformer: is efficient in generating the hydrogen with high purity, in an continuous manner; and utilizes the cathode off-gas, which eliminates the need to produce steam for regenerating adsorbent bed, hence achieves higher thermal efficiency.    DETAILED DESCRIPTION - Steam reformer comprises: many fluid inlet (111) connection; many fluid outlet (112) connection; many reforming segments formed by splitting the annular space between an outer surface of an inner cylindrical shell and an inner surface of an outer cylindrical shell via many segmenting plates; many reforming compartments formed by splitting each of the segment using a divider plate to form a flow region in each of the segment with fluid communication between flow regions; a top end plate (109) to seal one end of the inner and outer shells; a bottom end plate (114) comprising the fluid inlet and outlet connections to seal the other end of the inner and outer shells, where each of the reforming segment contains at least one of a reforming catalyst or a carbon dioxide adsorbent in a predetermined amount and composition to reform inlet fluids to an outlet fluid comprising hydrogen. INDEPENDENT CLAIMS are also included for:    (1) a method (I) for producing hydrogen, comprising: (a) feeding either a hydrogen rich fuel to an adsorption enhanced reformer comprising reforming chambers or compartments; (b) steam reforming the fuel in the presence of at least one of a reforming catalyst and at least of carbon dioxide adsorbent to produce hydrogen and a spent adsorbent; (c) feeding the hydrogen to the anode side of the fuel cell; (d) feeding air to the cathode side of the fuel cell; (e) regenerating the spent adsorbent using the fuel cell cathode off-gases; (f) sweeping the regenerated adsorbent using fuel cell anode off-gases; and (g) producing a continuous flow of hydrogen by cycling between reforming chambers or compartments in a predetermined timing sequence;    (2) a method (II) for producing hydrogen, comprising: (a1) feeding fuel and water to the adsorption enhanced reformer; and the steps (b)-(g) as above per se;    (3) a method (III) for producing hydrogen, comprising: the step (a1) as above per se; (b1) pre-reforming the fuel in the presence of the reforming catalyst and carbon dioxide adsorbent to produce hydrogen and a spent carbon dioxide adsorbent; and the steps (e)-(g) as above per se;    (4) a method (IV) for producing hydrogen from a fuel, comprising: the step (a1) as above per se; (b2) pre-reforming the fuel in the presence of the reforming catalyst and the carbon dioxide adsorbent and a sulfur adsorbent producing hydrogen, thus producing a partially reformed fuel; (c2) producing at least one of spent carbon dioxide adsorbent and spent sulfur adsorbent during pre-reforming; (d2) reforming the partially reformed fuel in the presence of the reforming catalyst and the carbon dioxide adsorbent to produce hydrogen and a spent carbon dioxide adsorbent; and the step (g) as above per se; and    (5) a method (V) for producing hydrogen using fuel cell off gases, comprising: feeding hydrocarbon fuel to a sulfur adsorbent to produce a desulfurized fuel and a spent sulfur adsorbent; feeding the desulfurized fuel and water to the adsorption enhanced reformer; reforming the desulfurized fuel in the presence of the reforming catalyst and carbon dioxide adsorbent to produce hydrogen and spent carbon dioxide adsorbent; the steps (c) and (d) as above per se; regenerating the spent carbon dioxide adsorbents using the fuel cell cathode off-gases; producing a flow of hydrogen by cycling between the reforming chambers or compartments in a predetermined timing sequence; and replacing the spent sulfur adsorbent with a fresh sulfur adsorbent at a predetermined time.    DESCRIPTION OF DRAWING(S) - The figure shows a top view of the bottom end plate of the adsorption enhanced reformer.    Top end plate (109)    Fluid inlet (111)    Fluid outlet (112)    Thermocouples ports (113)    Bottom end plate (114)