P1 (15 points): given a 3-bit input a, 1-bit input p, 1-bit input q, a 6-bit adder, some 2-to-1 muxes, some not gates, and some xor gates: a: design a circuit that produces a 6-bit integer b such that b=3+a if p=0 and produces b=5-a if p=1. b: design a circuit that produces a 6-bit integer c such that c=3a if p=0 and produces c=5a+1 if p=1. c: design a circuit that outputs 6-bit integer d such that d=b if q=0 and d=c if q=1. p2 (20 point

Determine the time of the day and month of the year at which the peak sensible cooling load occurs for a top floor, north-eastern corner room of an office building in durban for the following conditions: floor area: 8 x 8 x 3 m east and north walls: 115 mm face brick (outside), 20 mm air space, 115 mm ordinary brick (inside) with 15 mm plaster roof construction: suspended plasterboard ceiling, 450 mm air space, 150 mm concrete, 75mm screed, waterproofing no heat transfer across other surfaces window area 3x 1,5 m high in north wall only. ordinary glass with venetian blinds. lights and occupants : from 07: 00 to 18: 00 average light density: 25 w/m2 number of occupants : 5 seated, light office work room temperature 24°c