"For any real numbers x, x+0=x." is one of the condition in what binary operation?

"For any two real numbers x and y, x+y=y+x" is one of the condition in what binary operation?

"The product of any two real numbers is also a real number" is one of the condition in what binary operation?

"For any three real numbers x, y, and z, x∙(y∙z)=(x∙y)∙z" is one of the condition in what binary operation?

bitwise AND operation

Binary OperatorsA binary digit (0 or 1) is also called as bit.There are certain operations you can do on a pair of bits, and one such operator is XOR (represented by symbol ^).If you are given 2 bits a and b, then the value of a^b comes as follows:a b a^b0 0 00 1 11 0 11 1 0In other words, a^b = 1 if a and b are different, otherwise it is 0.Given 2 binary numbers, you can do bitwise XOR (pad 0s to make them the same length and then xor between corresponding bits).Example 1: if I ask you what is XOR between 1010 and 11, then you follow the following steps:Step 1: Make both numbers equal size by padding 0s. So, our numbers become 1010 and 0011.Step 2: Now take XOR of corresponding bits like the following: 1010 ^ 0011 -------- 1001Hence, the answer is 1001.Given 2 decimal numbers, you can do bitwise XOR.If I ask you what is the XOR between 3 and 4 then you can convert them to binary first and apply the approach explained above.Example 2: 3^43 in binary is 114 in binary is 100 011^100----- 111Hence, the answer is 111 which is 7 in decimal.So, 3^4 = 7QuestionIf x ^ 21 = 34, and x ^ 31 = 40, find x.