a) F=(W+ZXW +Y+ZXX+Y+Z) (Wake ) ABCD+ACD+ BCD+ ABD+ ABC (Wak
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Problem 2
Transcribed Image Text:HOME WORK 4: DUE MARCH 16 WED
Problem 1. Using Karnaugh maps find a minimal sum of products expression and a minimal product of sums
expression for each of the following logic functions
(a) F(W.X.Y.Z) = (m,.m,,m,,m,,m,, mm3. m)
(b) FW.X.Y.Z) = 1(M.M3, M.M, M.M,. M,.M.M.M
(c) F(W.X.Y.Z) = (m,,m,.m,.m, ,m)+ d(m.m.m,.m.m;)
(d) F(WXY) = TICM.M.M.M.M,)
Note: d(m.) means F(W.X.Y.Z) for the row of the truth table corresponding to the i'th minterm is "don't
care"
Problem 2. Given a sum of products or product of sums expression for F. it is possible to fill in the Is in a K-map for
F directly and simplify the expression using K-map simplification. Using this approach, simplify the following
expressions for F
(a) F= (W + Z (W +Y+ZXX +Y +Z) (Wakerly Problem 4.58. part (d))
(b) ABÇD+ACD+BCD+ ABD+ ABC (Wakerly Problem 4.58. part (e))
Problem 3: Perform the indicated subtraction with the following unsigned binary numbers by taking the 2's
complement of the subtrahend.
(a) 11010 - 100001
(b) 11110 - 1110
(c) 101001- 101
Hint: You necd to make the no of bits in the two numbers equal by padding Os to the left of the subtrahend
before taking its 2's complement.
Problem 4: Assuming that the numbers below are signed 2's complement numbers with the leftmost bit representing
he sign bit, indicate the presence of overflow in any of the following calculations
(a) 11010 +011II
(b) 11110 + 10010
(c) 111II1O + 0000010
(d) 101001 + 000010
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