Question

In: Computer Science

Design a combinational logic circuit that takes a single digit decimal number as its input and...

Design a combinational logic circuit that takes a single digit decimal number as its input and also detects if the input is an odd number.

Design a combinational circuit that accepts a 3-bit number and generates an output binary number equal to the square of the input number.

Solutions

Expert Solution

Notice that every other bit in the input is multiple of 2 except the Least Significant Bit. SO the number is odd if LSB is 1 and is even if LSB is 0.

Let the imput be where i0 is the LSB

So if i0 is 1 even bit should be 0 and odd bit should be 1

and if i0 is odd even bit should be 1 and odd bit should be 0

The circuit is:

squuare of 3 bit number is a 6 bit number. ssuppose the input is and output is .

steps to be taken are:

1. find the truth table

2. minimize the boolean function using K-map (or any other technique)

3. build the minimized circuit.

1.

The truth table is:


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