Build a complete truth table and Show that they are Logically equivalent
¬(¬P ∧ Q) ∧ (P ∨Q)≡ p
Solve the following:
(a) 1231001 (mod 101)
(b) 17123 (mod 13)
Let a and b be two Natural Numbers, such that the greatest common divisor of a and b is 63, and the least common multiple of a and b is 44452800. If ’b’ is an odd number, what is the minimum value of ’a’ possible? [Hint: a · b = gcd(a, b) · lcm(a, b)]
1. Convert each of the following to their respective Decimal, Octal, Hexadecimal and binary representation:
(a) (742)8
(b) (1011)2
(c) (47)10
(d) (3EAC)16
If 2 ≥ 3, then the cube of -1 is -1