Question 4: A four bit synchronous counter has four flip flops. The outputs of the flip flops are denoted by Q3, Q2, Q1, and Qo. The most significant bit (MSB) of the counter is Q3 and the least significant bit (LSB) is Qo. The counter counts from 0000 to 1010 over and over: 0000 00010010001101000101 011001111000 1001 → 1010 0000 → Let D3 denote the input to the specific flip-flop that provides Q3 as its output. What is the optimized sum of product (SOP) representation of D3 in terms of Q3, Q2, Q1, and Qo?

Electric Motor Control
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ISBN:9781133702818
Author:Herman
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Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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Question 4: A four bit synchronous counter has four flip flops. The outputs of the flip flops are denoted
by Q3, Q2, Q1, and Qo. The most significant bit (MSB) of the counter is Q3 and the least significant bit
(LSB) is Qo. The counter counts from 0000 to 1010 over and over:
0000
00010010001101000101
011001111000 1001 → 1010 0000 →
Let D3 denote the input to the specific flip-flop that provides Q3 as its output. What is the optimized
sum of product (SOP) representation of D3 in terms of Q3, Q2, Q1, and Qo?
Transcribed Image Text:Question 4: A four bit synchronous counter has four flip flops. The outputs of the flip flops are denoted by Q3, Q2, Q1, and Qo. The most significant bit (MSB) of the counter is Q3 and the least significant bit (LSB) is Qo. The counter counts from 0000 to 1010 over and over: 0000 00010010001101000101 011001111000 1001 → 1010 0000 → Let D3 denote the input to the specific flip-flop that provides Q3 as its output. What is the optimized sum of product (SOP) representation of D3 in terms of Q3, Q2, Q1, and Qo?
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