Construct the given function on a suitable size Decoder F= A'B+AB'C+AD'+BCD

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Author:Robert L. Boylestad
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19:25 O O < d d•
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Question
Construct the given function on a suitable size
Decoder F= A’B+AB°C+AD'+BCD
Expert Answer
Stepl
a)
Given:
F= A'B+AB°C+AD’+BCD
4 variables.
using decoder.
So we need 4x16 decoder.
Step2
b)
Converting into SOP form,
F = A'B + AB'C + AD' + BCD
= A'B.1 + AB'C.1 + AD'.1 + BCD.1
= A'B.(C+C') + AB'C.(D+D') + AD'.(B+B') + BCD.(A+A')
= A'BC + A'BC' + AB'CD + AB'CD' + ABD' + AB'D' +
АBCD + A'BCD
= A'BC.1 + A'BC'1 + AB'CD + AB'CD' + ABD'.1 + AB'D'.1
Transcribed Image Text:19:25 O O < d d• a l 43% Question Construct the given function on a suitable size Decoder F= A’B+AB°C+AD'+BCD Expert Answer Stepl a) Given: F= A'B+AB°C+AD’+BCD 4 variables. using decoder. So we need 4x16 decoder. Step2 b) Converting into SOP form, F = A'B + AB'C + AD' + BCD = A'B.1 + AB'C.1 + AD'.1 + BCD.1 = A'B.(C+C') + AB'C.(D+D') + AD'.(B+B') + BCD.(A+A') = A'BC + A'BC' + AB'CD + AB'CD' + ABD' + AB'D' + АBCD + A'BCD = A'BC.1 + A'BC'1 + AB'CD + AB'CD' + ABD'.1 + AB'D'.1
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