Transcript Homework 2 [Due 5/28]

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-Adders
b. one 3-bit adder
c. one 4-bit adder
2) Draw the circuit diagram of 6x3 Multiplier using Full-Adder modules
Marks = 4 + 5 + 7