Question

Let a3a2a1a0 and b3b2b1b0 be 4-bit binary number, where a3 and b3 are the most significant bits and a0 and b0 are the least significant bits. Write a boolean formula that evaluates to true if a3a2a1a0 > b3b2b1b0, and false otherwise. Python. Submit a formula. You must use variables a3, a3, a2, a1, b3, b2, b1, b0 in the formula

Answer 1

a3 = 0;# MSB of A
a2 = 1;
a1 = 1;
a0 = 1;# LSB of A

b3 = 1;# MSB of B
b2 = 1;
b1 = 1;
b0 = 1;# LSB of B

#Using 4-bit magnitude comparator's logic expression to find if A > B
f = (a3 and not b3) or (not(a3 ^ b3) and (a2 and not b2)) or (not(a3 ^ b3) and not(a2 ^ b2) and (a1 and not b1)) or (not(a3 ^ b3) and not(a2 ^ b2) and not(a1 ^ b1) and (a0 and not b0))

print(f)

OUTPUT:
False

NOTE:- Symbol ^ used in the formula is the bitwise XOR operator.