Homework 2

Due 28th May 2014

Implement This Function using

1) a 3-to-8 Line Decoder (with OR gates)2) a 3-to-8 Line Active Low Decoder (with NAND gates)3) only 1-to-2 Line Decoders (with NOR gates)

Note: For 3 you’ll have to use Decoder Trees

Marks = 3 + 4 + 5

F = A’B + ACD

Implement This Function using

1) a 4-to-16 Line Decoder (with NOR gates)2) a 4-to-16 Line Active Low Decoder (with AND gates)3) only 3-to-8 Line Active Low Decoders (with NAND gates)

Note: For 3 you’ll have to use Decoder Trees

Marks = 3 + 4 + 5

1) Draw the circuit diagram of an adder that adds two 8-bit numbers by cascading Adder modules that add two 2-bit numbers

2) Draw the circuit diagram of an adder that adds two 9-bit number using the following Addition modules

a. two Full-Addersb. one 3-bit adderc. one 4-bit adder

2) Draw the circuit diagram of 6x3 Multiplier using Full-Adder modules

Marks = 4 + 5 + 7