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Extra info for British Qualifications: A Complete Guide to Professional, Vocational and Academic Qualifications in the UK
4, and memories (Ch. 6), both contain decoders. 1 Two-line to four-line decoder circuit and truth table. In a decoder, input signals are treated as a binary number and select the one output line corresponding to that binary number. If the other outputs are low, the selected output goes high; if the other outputs are high, the selected output goes low. The input binary number is said to have been decoded by the circuit. g. the 74LS138 is a three- (input) line to eight- (output) line decoder. 1 shows the circuit for a basic two-line to four-line decoder, and from this it can be seen that each output is formed by simply ANDing together the required combination of normal and inverted input signals.
5. 7 Write out the three-input (A, Band C) truth tables for output values of (a) 118 and (b) 173. 3a) write down the set of input values corresponding to (a) and (b). What output value corresponds to the logical sum of inputs with values 1o, 12 , 16 and 17? Minimize the function and draw the NAND gate circuit to implement the minimized function. 8 Minimize the function F = Xii·c·j5 + A·B·C·D + A-B·j5 + A·B·C + B·C·D. 9 Find the two equally valid minimized expressions for F = A-ii·c·i5 + A-ii·C·D + A·ii·c + A·ii·j5 + B·C·D.
Devices of this type can be used to replace a number of combinational and sequential logic elements in a circuit. 6) all connected to a common clock line. On a clock signal, the current input to a register is stored and that value remains on the register output until the next clock signal. 14) can be built using only these devices. ___~--I product F1 F2 lines R----*-~~--~~~. R--'-~~~~~~~~ (b) B--'-~~~~~~~~ bit B--'-~~~~~~~~ lines C--'-~~~-*~~~~ C--__ __ *-~~ ~~~. --lIE-*-+~---*--I product F2 lines R--'-~~""'---*---lI~~~ R--'-~~""'-*~~~~ (c) bit B--'-~~""'-'~~~~ lines C--*-~~~-*~~~~ B--'-~~~-*~~~~ C--__ *-~~ __ ~~~.