Q.3 Answer the following questions. Clearly show your work. (a) Consider the minterm function F(A, B, C) = m(1,3,4,7) Implement the circuit using 4-to-1 and 2-to-1 multiplexers only. 8 UTM & UTM (b) Figure Q.3.1 is a 3-to-8 active-high output decoder implementation with basic UTM & UTM gates. Derive the Boolean expression (in terms of a, b, and c) at UTM UTM & UTM at the output F. UT UTM

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Q.3 Answer the following questions. Clearly show your work.
(a) Consider the minterm function F(A, B, C) = Em(1,3,4,7)
Implement the circuit using 4-to-1 and 2-to-1 multiplexers only.
5 UTM 5 UTM
(b) Figure Q.3.1 is a 3-to-8 active-high output decoder implementation with basic
UTM UTM
SUTM & UTM
Yo
dc).
b
5 UTM 8 UTM 8 UTM
Y2
6 UTM 5 UT
3-to-8
Decoder
Y4
(Active high Ys
output)
8 UTM 8 UTM 6 UTM
5 UTM 8 UT
UTM 8 UTM
8 UTM 5 UT
A UT (c) Figure Q.3.2 shows a 3-bit ripple-carry-adder for S= A + B. Modify the adder
to perform the subtraction operation F = A – B.
UTM 5 UTM
中中学
5 UTM 8 UTM
A2 B2
A1
8 UTM
B1
Ao
Во
Cout
8 UTM 5 UTM 8 UTM
FA
5 UTM 8 UT
FA
Co
FA
8 UTM 8 UTM UTM
S2
5 UTM 5 UT
5 UTM
So
Figure Q3.2
TM
5 UTd) UTM 5 UTM
Assume that you need to multiply an 8-bit 2°s Complement binary number P by
UTM 5 UTM
5 UTM 5 UT
35, i.e. F = P x 35. Using only adders and shifters, show how the operation can
UTM
UTM 5 UTM
UT
in
UTM
UTM
5 UTM 6 U4
UTM
5 UTM
UTM
Transcribed Image Text:Q.3 Answer the following questions. Clearly show your work. (a) Consider the minterm function F(A, B, C) = Em(1,3,4,7) Implement the circuit using 4-to-1 and 2-to-1 multiplexers only. 5 UTM 5 UTM (b) Figure Q.3.1 is a 3-to-8 active-high output decoder implementation with basic UTM UTM SUTM & UTM Yo dc). b 5 UTM 8 UTM 8 UTM Y2 6 UTM 5 UT 3-to-8 Decoder Y4 (Active high Ys output) 8 UTM 8 UTM 6 UTM 5 UTM 8 UT UTM 8 UTM 8 UTM 5 UT A UT (c) Figure Q.3.2 shows a 3-bit ripple-carry-adder for S= A + B. Modify the adder to perform the subtraction operation F = A – B. UTM 5 UTM 中中学 5 UTM 8 UTM A2 B2 A1 8 UTM B1 Ao Во Cout 8 UTM 5 UTM 8 UTM FA 5 UTM 8 UT FA Co FA 8 UTM 8 UTM UTM S2 5 UTM 5 UT 5 UTM So Figure Q3.2 TM 5 UTd) UTM 5 UTM Assume that you need to multiply an 8-bit 2°s Complement binary number P by UTM 5 UTM 5 UTM 5 UT 35, i.e. F = P x 35. Using only adders and shifters, show how the operation can UTM UTM 5 UTM UT in UTM UTM 5 UTM 6 U4 UTM 5 UTM UTM
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