Can the circuit for Problem 13.40 be simplified if it is known that the input represents a BCD (binary-coded decimal) number, i.e., it can never be greater than 1010? If not, explain why not. Otherwise, design the simplified circuit.
Problem 13.40
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.