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1. Conversion (a).Convert 101 (10) (decimal) to binary. (b).Convert 75.6 (8) (oc

ID: 3871024 • Letter: 1

Question

1. Conversion (a).Convert 101 (10) (decimal) to binary. (b).Convert 75.6 (8) (octal) to binary (c).Convert 1010001110.11 (2) (binary) to hexadecimal. 2. Binary Arithmetic: Multiply in binary:10 3. Represent F(X,YZ)-XY +YZ as minterm expression and maxterm expression. 4. Represent the Boolean expression AB+A'B' in truth table and logic diagram AB AB 0 5. Using a truth table, prove that Use K-map to simplify the following expressions. (a). F(X,YZ)-2m(0,2,4,5,6) (b) F(A,B,C)=Erm(0,2,4), d(A,B,C)-Erm(13) (c). FA,B,C,D)-2m(0,2,9,1,13,14), d(A,B,C,D) ml5 6.

Explanation / Answer

1.a) 101(10) = 1100101(2)

1.b) 75.6(8) = 111101.11(2)

1.c) 1010001110.11(2) = 28E.C(16)

2)11011 x 1011 = 100101001

3) minterm expression = XY' + YZ'

maxterm expression = (X+Y)(Y'+Z')

4)

5)

6.

A)

F = Z' + XY'

B)

C)

A B AB+A'B' 0 0 1 0 1 0 1 0 0 1 1 1