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Questions

System Software and Computing Concepts (102025-ABB) Tutorial 3: Digital Logic Circuits

Multiple choice

A programmer wants you to develop the logic for a program they are building. The program is an attendance system which registers attendees in the following states: Present: The person is expected to come to work and has come to work Absent: The person is expected to come to work but did not come to work Present but applied for leave: The person is NOT expected to come to work but has come to work Absent and applied for leave: The person is NOT expected to come to work and has applied for leave To simplify the logic, the programmer has made FOUR switches, each with TWO possible states corresponding to the above 4 cases:1. Present Status (P):a. 0 = Absentb. 1 = Present2. Leave Status (L):a. 0 = Leave NOT appliedb. 1 = Leave applied3. Many Consecutive Days Missed (M):a. 0 = Less than 3 consecutive days missedb. 1 = 3 or more consecutive days missed4. Total Attendance (T):a. 0 = Less than 50% attendanceb. 1 = Equal or above 50% attendance You are expected to design the logic for a “Warning” system (X = 1) which will flag any person with the following states (conditions):1. The person is absent with no leave and has more than 3 consecutive days missed2. The person is present but has leave applied for that day3. The person has less than 50% attendanceDesign a logic network diagram that resolves the given conditions. a). Define the Truth Tableb). Use a Karnaugh Map to show the simplification of the circuit designc). Draw a logic circuitTip: Pay close attention to the values in the options and select the most appropriate answers that satisfies the above three questions. (a,b,c).Tip: You only need to select the correct option below. No need to submit or upload any of your workings.

Options
A.a. [table] P | L | M | T | X 0 | 0 | 0 | 0 | 1 0 | 0 | 0 | 1 | 0 0 | 0 | 1 | 0 | 1 0 | 0 | 1 | 1 | 1 0 | 1 | 0 | 0 | 1 0 | 1 | 0 | 1 | 0 0 | 1 | 1 | 0 | 1 0 | 1 | 1 | 1 | 0 1 | 0 | 0 | 0 | 1 1 | 0 | 0 | 1 | 0 1 | 0 | 1 | 0 | 1 1 | 0 | 1 | 1 | 0 1 | 1 | 0 | 0 | 1 1 | 1 | 0 | 1 | 1 1 | 1 | 1 | 0 | 1 1 | 1 | 1 | 1 | 1 [/table]
B.b. [table] P | L | M | T | X 0 | 0 | 0 | 0 | 1 0 | 0 | 0 | 1 | 0 0 | 0 | 1 | 0 | 1 0 | 0 | 1 | 1 | 1 0 | 1 | 0 | 0 | 1 0 | 1 | 0 | 1 | 0 0 | 1 | 1 | 0 | 1 0 | 1 | 1 | 1 | 0 1 | 0 | 0 | 0 | 1 1 | 0 | 0 | 1 | 0 1 | 0 | 1 | 0 | 1 1 | 0 | 1 | 1 | 0 1 | 1 | 0 | 0 | 0 1 | 1 | 0 | 1 | 0 1 | 1 | 1 | 0 | 1 1 | 1 | 1 | 1 | 1 [/table]
C.c. [table] P | L | M | T | X 0 | 0 | 0 | 0 | 1 0 | 0 | 0 | 1 | 0 0 | 0 | 1 | 0 | 1 0 | 0 | 1 | 1 | 1 0 | 1 | 0 | 0 | 1 0 | 1 | 0 | 1 | 0 0 | 1 | 1 | 0 | 1 0 | 1 | 1 | 1 | 0 1 | 0 | 0 | 0 | 1 1 | 0 | 0 | 1 | 0 1 | 0 | 1 | 0 | 1 1 | 0 | 1 | 1 | 0 1 | 1 | 0 | 0 | 1 1 | 1 | 0 | 1 | 1 1 | 1 | 1 | 0 | 1 1 | 1 | 1 | 1 | 0 [/table]
D.d. [table] P | L | M | T | X 0 | 0 | 0 | 0 | 0 0 | 0 | 0 | 1 | 0 0 | 0 | 1 | 0 | 1 0 | 0 | 1 | 1 | 1 0 | 1 | 0 | 0 | 1 0 | 1 | 0 | 1 | 0 0 | 1 | 1 | 0 | 1 0 | 1 | 1 | 1 | 0 1 | 0 | 0 | 0 | 1 1 | 0 | 0 | 1 | 0 1 | 0 | 1 | 0 | 1 1 | 0 | 1 | 1 | 0 1 | 1 | 0 | 0 | 1 1 | 1 | 0 | 1 | 1 1 | 1 | 1 | 0 | 1 1 | 1 | 1 | 1 | 1 [/table]
E.e.
F.f.
G.g.
H.h.
I.i.
J.j.
K.k.
L.l.
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First, I will restate the task and the available options to frame the analysis, then I will evaluate each option in turn. Options provided for selection: a., b., c., d., e., f., g., h., i., j., k., l. Note: The prompt’s answer list shows a, e, and i as the selections that satisfy the three parts (a, b, c) of the request. I will analyze all options, indicating why a, e, and i are correct and why the others are not. Option a: a. [table] P | L | M | T | X 0 | 0 | 0 | 0 | 1 0 | 0 | 0 | 1 | 0 0 | 0 | 1 | 0 | 1 0 | 0 | 1 | 1 | 1 0 | 1 | 0 | 0 | 1 0 | 1 | 0 | 1 | 0 0 | 1 | 1 | 0 | 1 0 | 1 | 1 | 1 | 0 1 | 0 | 0 | 0 | 1 1 | 0 | 0 | 1 | 0 1 | 0 | 1 | 0 | 1 1 | 0 | 1 | 1 | 0 1 | 1 | 0 | 0 | 1 1 | 1 | 0 | 1 | 1 1 | 1 | 1 | 0 | 1 1 | 1 | 1 | 1 | 1 [/table] Analysis: This option provides a full truth-table for P, L, M, T with corresponding X. The presence of a 1 in X for many combinations must reflect the stated warning conditions. However, for a correct truth table, the last column should be 1 exactly for input combinations that satisfy any of the three conditions (1) absent with no leave and M = 1 (3 or more missed days), (2) P with L = 1, (3) T = 0 (less than 50% attendance). The table shown here appears inconsistent with the problem's stated conditions at a few rows (for example, when P=0, L=0, M=0, T=0, X=1 is acceptable if it matches “less than 50% attendance,” but the combination logic must be verified against the defined mapping). Without cross-checking every row against the three rules, we cannot confirm full correctness......Login to view full explanation

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