1. Design a combinational logic circuit which will accept a 4-bit binary number and if the number is even, divide it by 210 and produce the binary result; if the number is odd, multiply it by 210 and produce the binary result.
2. a. Fill in the Karnaugh map for the function defined in the truth table of Figure P12.55.
b. What is the minimum expression for the function?
c. Draw the circuit, using AND, OR, and NOT gates.
A
|
B
|
C
|
F
|
0
|
0
|
0
|
1
|
0
|
0
|
1
|
1
|
0
|
1
|
0
|
0
|
0
|
1
|
1
|
1
|
1
|
0
|
0
|
1
|
1
|
0
|
1
|
1
|
1
|
1
|
0
|
1
|
1
|
1
|
1
|
0
|
|
|
A
|
B
|
C
|
f(A,B,C)
|
0
|
0
|
0
|
1
|
0
|
0
|
1
|
1
|
0
|
1
|
0
|
0
|
0
|
1
|
1
|
1
|
1
|
0
|
0
|
1
|
1
|
0
|
1
|
1
|
1
|
1
|
0
|
1
|
1
|
1
|
1
|
0
|
|
|