Bit Counting Machine A bit counting machine reads a binary input vector (a, b, c, d,...
Bit Counting Machine
A bit counting machine reads a binary input vector (a, b, c, d, e) and produces a binary number (s2, s1, s0) that counts the number of ”1”s in the input bits.
For example when (a, b, c, d, e) = (0, 1, 1, 1, 1), we have output (s2, s1, s0) = (1, 0, 0), and when (a, b, c, d, e) = (1, 1, 0, 1, 0), we have output (s2, s1, s0) = (0, 1, 1).
Derive the canonical sum of minterms expression of the three output bits.
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Bit Counting Machine
A bit counting machine reads a binary input vector (a, b, c, d,...
1. Given the state diagram shown below for a state machine with one-bit input W and two-bit outpu...
1. Given the state diagram shown below for a state machine with
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a. (20 points) Using the state assignments below, make the
state-assigned table. Let S0 = 001, S1 = 010, and S2 = 100.
b. (20 points) Let the state variables be Y2, Y1, and Y0. Derive
an expression for each of the next state variables.
c. (10 points) Derive expressions for the output of this state
diagram.
d. (20 points) Draw...
(a) Write a truth table. The input is 4-bit binary ABCD, A is MSB, D is...
(a) Write a truth table. The input is 4-bit binary ABCD, A is
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(b) Obtain an output expression in the form of a SOP.
(c) Use Boolean Algebra to design a circuit consisting of only
four inverters, four 3-input and gate, and one 4-input OR gate
using the simplified and simplified expression obtained in (b).
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1. Given the state diagram shown below for a state machine with
one-bit input W and two-bit output Z:
a. (20 points) Using the state assignments below, make the
state-assigned table. Let S0 = 001, S1 = 010, and S2 = 100.
b. (20 points) Let the state variables be Y2, Y1, and Y0. Derive
an expression for each of the next state variables.
c. (10 points) Derive expressions for the output of this state
diagram.
d. (20 points) Draw...
(a) Write a truth table. The input is 4-bit binary ABCD, A is
MSB, D is LSB. The output is also represented by x.
(b) Obtain an output expression in the form of a SOP.
(c) Use Boolean Algebra to design a circuit consisting of only
four inverters, four 3-input and gate, and one 4-input OR gate
using the simplified and simplified expression obtained in (b).
4-6. The Excess-3 coding system is a four-bit digital coding system for encoding all...
Question 4 State Machines (25 marks) A state machine is required for a simple vending machine. The machine takes one dollar coins only. Each time a coin is added the input signal "coin" is set to 1 for one clock cycle When a total of $4 has been added the output signal "deliver" is set to 1 for one clock cycle and the state machine starts counting coins for the next delivery a) (5 marks) Draw a state diagram for...
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two outputs (S and V). X, S and V are all one-bit signals. X
represents a 4-bit binary number N, which is input least
significant bit first. S represents a 4-bit binary number equal to
N + 3, which is output least significant bit first. At the time the
fourth input occurs, V = 1 if N + 3 is too large to be represented
by 4 bits;...
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