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CDA 3100 Recitation Week 10

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Design a 4-bit encoder: Has four input bits (I3, I2, I1, I0) and two output bits (O1, O0) If input bits are 1xxx, the output is 11 If input bits are 01xx, the output is 10 If input bits are 001x, the output is 01 If the input bits are 0001, the output is 00

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**Design 4-bit encoder: Truth Table**

X 1

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**Design 4-bit encoder: K-Map for O1**

I3 I2 I1 I0 00 01 11 10 X 1 O1 = I3 + I2

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**Design 4-bit encoder: K-Map for O0**

I3 I2 I1 I0 00 01 11 10 X 1 O0 = I3 + (~I2 * I1)

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**Design 4-bit encoder: Circuit**

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Design a circuit: Treat two 2-bit inputs, X and Y, as unsigned binary numbers Write logic functions that are true if and only if X < Y

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**Design a circuit: Truth Table**

X1 X0 Y1 Y0 O 1

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**Design a circuit: K-Map**

X1 X0 Y1 Y0 00 01 11 10 1 O = (Y1 * ~X1) + (~X1 * ~X0 * Y0) + (~X0 * Y1 * Y0)

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**Design a circuit: Circuit**

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Part 2: DESIGN CIRCUIT. LOGIC CIRCUIT DESIGN x y z F 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 F = x + y’z x y z F Truth Table Boolean Function.

Part 2: DESIGN CIRCUIT. LOGIC CIRCUIT DESIGN x y z F 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 F = x + y’z x y z F Truth Table Boolean Function.

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