Problem #2: 4-16. Figure 4-71 shows a BCD counter that produces a four-bit output repre- senting the BCD code for the number of pulses that have been applied to the counter input. For example, after four pulses have occurred, the counter outputs are DCBA = 01002 = 410. The counter resets to 0000 on the tenth pulse and starts counting over again. In other words, the DCBA outputs will never represent a number greater than 10012 = 910- (a)* Design the logic circuit that produces a HIGH output whenever the count is 2, 3, or 9. Use K mapping and take advantage of the don’t-care conditions. (b) Repeat for x = 1 when DCBA = 3,4, 5,8. (MSB) HIGH only when DCBA = 210, 310. Oor 910 BCD Logic circuit | counter B A

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Problem #2:
4-16. Figure 4-71 shows a BCD counter that produces a four-bit output repre-
senting the BCD code for the number of pulses that have been applied
to the counter input. For example, after four pulses have occurred, the
counter outputs are DCBA = 01002 = 410. The counter resets to 0000
on the tenth pulse and starts counting over again. In other words, the
DCBA outputs will never represent a number greater than 1001, = 910-
(a)* Design the logic circuit that produces a HIGH output whenever
the count is 2, 3, or 9. Use K mapping and take advantage of the
don't-care conditions.
(b) Repeat for x = 1 when DCBA = 3,4,5,8.
(MSB),
HIGH only when
DCBA - 210. З10-. or 910
BCD
B
counter
Logic
circuit
A
Transcribed Image Text:Problem #2: 4-16. Figure 4-71 shows a BCD counter that produces a four-bit output repre- senting the BCD code for the number of pulses that have been applied to the counter input. For example, after four pulses have occurred, the counter outputs are DCBA = 01002 = 410. The counter resets to 0000 on the tenth pulse and starts counting over again. In other words, the DCBA outputs will never represent a number greater than 1001, = 910- (a)* Design the logic circuit that produces a HIGH output whenever the count is 2, 3, or 9. Use K mapping and take advantage of the don't-care conditions. (b) Repeat for x = 1 when DCBA = 3,4,5,8. (MSB), HIGH only when DCBA - 210. З10-. or 910 BCD B counter Logic circuit A
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