|4-4 Design a combinational circuit that adds one to a 4-bit binary number. For example, if the input of the circuit is 1101, the output is 1110. The circuit can be designed using four half-adders.||
Let A3A2A1A0 + 1 = S4S3S2S1S0
|4-5 A combinational circuit produces the binary sum of two 2-bit numbers, x1x0 and y1y0. The outputs are C, S1, and S0. Provide a truth tableof the combinational circuit.||
|4-6 Design a circuit for the above problem using two full-adders.||
|4-18 Derive the truth table of the circuit shown below.||
F1 = A'B'C + A'BC' + AB'C' + ABC
|4-19 Draw the NAND logic diagram for each of the following expressions using multiple-level NAND gate circuits:||
(AB' + CD')E + BC(A + B)
w(x + y + z) + xyz
|4-20 Convert the logic diagram of the code converter shown in Fig. 4-8 to a multiple-level NAND circuit.||
|4-22 Verify that the circuit shown below generates the exclusive-NOR function.||
|4-24 Derive the truth table for the output of each NOR gate shown below.||
|4-25 Prove the following equality.||
x'y = (x')'y + x'y'
= xy +x'y'
|4-26 Prove the following equality.||
x1 = x'1 + x1' = x'1 + x0= x'+ 0 = x'
x0 = x'0 + x0' = x'0 + x1= 0 + x = x
|4-27 Show that if xy = 0 then x XOR y is equal to x+y.||
If xy = 0 then
xy = (x'y' + xy)' = (x'y' + 0)' = x + y
|4-29 Design the circuit of a 3-bit parity generator and the circuit of a 4-bit parity generator using an odd parity bit.||
COSC 3410 Answers to Selected Problems, Chapter | 1 | 2 | 3 | 4 | 5 | 6 | 7 |