Problem 6. Draw a logic diagram of your own provided that it has at least three inputs and three gates (NOTS are not counted). Write the Boolean expression (function) and generate the truth table for this circuit.

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)2= ( ? )16
(iii) (BC1.30)16 = ( ? )2
(iv) (101110.0111)2 = ( ? )s
(v) (67.67)8 = ( ? )10
(vi) (10110.0101)2= ( ? )10
(vii) (155)10=( ? )2
(viii) (9714)10 = ( ? )8
(ix) (DEAD.BEE)16=( ? )8
(x) (DEAD.BEE)16=( ? )2
Problem 2 Simplifies the following Boolean algebraic expressions.
(а) АВС (АВС" + АВ'C + A'ВС)
(b) XY (ΧX YZ' + XY'Ζ' + Χ Υ'Ζ')
(c) XY + XYZ’ + XYZ’ + XYZ
Problem 3. Simplify the following Boolean algebraic expressions and draw a block
diagram of the circuit for each simplified expression using AND and OR gates.
( a) AB'C' + Α''C' + Α'ΒC' + Α'Β'C
(b) A’BC + AB’C + A’BC + ABC’ + AB’C' + A’BC’ + A’B°C’
(c) (A +B + C) (A +B’ + C') (A + B +C') (A + B’ + C)
Problem 4. Prepare the Truth Table for the following Boolean expressions:
( a) ΧΥ+ ΧΥΥ''
(b) (A + B) ( A + C) ( A’ + B')
(с) АВ + АС
Problem 5. Write the Boolean expression (in Sum of Products form) for the logic circuit
that will have a 1 output when X = 0, Y = 0, Z= 1 and X = 1, Y = 1, Z = 0, and a zero (0)
output for all other input states. Draw the logic diagram for this circuit.
Problem 6. Draw a logic diagram of your own provided that it has at least three inputs
and three gates (NOTS are not counted). Write the Boolean expression (function) and
generate the truth table for this circuit.
Transcribed Image Text:)2= ( ? )16 (iii) (BC1.30)16 = ( ? )2 (iv) (101110.0111)2 = ( ? )s (v) (67.67)8 = ( ? )10 (vi) (10110.0101)2= ( ? )10 (vii) (155)10=( ? )2 (viii) (9714)10 = ( ? )8 (ix) (DEAD.BEE)16=( ? )8 (x) (DEAD.BEE)16=( ? )2 Problem 2 Simplifies the following Boolean algebraic expressions. (а) АВС (АВС" + АВ'C + A'ВС) (b) XY (ΧX YZ' + XY'Ζ' + Χ Υ'Ζ') (c) XY + XYZ’ + XYZ’ + XYZ Problem 3. Simplify the following Boolean algebraic expressions and draw a block diagram of the circuit for each simplified expression using AND and OR gates. ( a) AB'C' + Α''C' + Α'ΒC' + Α'Β'C (b) A’BC + AB’C + A’BC + ABC’ + AB’C' + A’BC’ + A’B°C’ (c) (A +B + C) (A +B’ + C') (A + B +C') (A + B’ + C) Problem 4. Prepare the Truth Table for the following Boolean expressions: ( a) ΧΥ+ ΧΥΥ'' (b) (A + B) ( A + C) ( A’ + B') (с) АВ + АС Problem 5. Write the Boolean expression (in Sum of Products form) for the logic circuit that will have a 1 output when X = 0, Y = 0, Z= 1 and X = 1, Y = 1, Z = 0, and a zero (0) output for all other input states. Draw the logic diagram for this circuit. Problem 6. Draw a logic diagram of your own provided that it has at least three inputs and three gates (NOTS are not counted). Write the Boolean expression (function) and generate the truth table for this circuit.
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