And even/oddBinary 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 AND (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 01 0 01 1 1In other words, a&b = 1 if a and b are both equal to 1.</br>Given 2 binary numbers, you can do bitwise AND (pad 0s to make them the same length and then and between corresponding bits).Example 1: if I ask you what is AND 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 AND of corresponding bits like the following: 1010 & 0011 -------- 0010GivenHence, the answer is 0010.Given 2 decimal numbers, you can do bitwise AND.If I ask you what is the AND between 5 and 6 then you can convert them to binary first and apply the approach explained above.Example 2: 5 & 65 in binary is 1016 in binary is 110 101& 110----- 100Hence, the answer is 100 which is 4 in decimal.So, 5 & 6 = 4QuestionCalculate the answer of(24 & 1) + (32 & 1) + (45 & 1) + (37 & 1) + (49 & 1) + (50 & 1)
Question
And even/oddBinary 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 AND (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 01 0 01 1 1In other words, a&b = 1 if a and b are both equal to 1.</br>Given 2 binary numbers, you can do bitwise AND (pad 0s to make them the same length and then and between corresponding bits).Example 1: if I ask you what is AND 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 AND of corresponding bits like the following: 1010 & 0011 -------- 0010GivenHence, the answer is 0010.Given 2 decimal numbers, you can do bitwise AND.If I ask you what is the AND between 5 and 6 then you can convert them to binary first and apply the approach explained above.Example 2: 5 & 65 in binary is 1016 in binary is 110 101& 110----- 100Hence, the answer is 100 which is 4 in decimal.So, 5 & 6 = 4QuestionCalculate the answer of(24 & 1) + (32 & 1) + (45 & 1) + (37 & 1) + (49 & 1) + (50 & 1)
Solution
To solve the problem, we first need to convert each decimal number to binary and then perform the AND operation with 1. After that, we add up all the results.
- 24 in binary is 11000. So, 24 & 1 = 0
- 32 in binary is 100000. So, 32 & 1 = 0
- 45 in binary is 101101. So, 45 & 1 = 1
- 37 in binary is 100101. So, 37 & 1 = 1
- 49 in binary is 110001. So, 49 & 1 = 1
- 50 in binary is 110010. So, 50 & 1 = 0
Now, we add up all the results: 0 + 0 + 1 + 1 + 1 + 0 = 3
So, the answer to (24 & 1) + (32 & 1) + (45 & 1) + (37 & 1) + (49 & 1) + (50 & 1) is 3.
Similar Questions
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.
Reading Material 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 AND (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 01 0 01 1 1In other words, a&b = 1 if a and b are both equal to 1.Given 2 binary numbers, you can do bitwise AND (pad 0s to make them the same length and then ‘AND’ between corresponding bits).Example 1: if I ask you what is AND 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 AND of corresponding bits like the following: 1010& 0011——– 0010Hence, the answer is 0010.Question:You are given a list of binary numbers [110011, 111010, 11011, 1110, 11000, 101010, 11110].You can freely choose any 2 numbers from this list. You have to choose them so that the AND of those 2 numbers is maximized. What is the max AND value possible?Note: In your answer, ensure first bit is 1 (for example, if the answer is 10, please put 10 as the answer and not 010 or 0010).
The two symbols 0 and 1 are known as bits in a binary system.
The bit manipulation operator ______________ is used to set a specific bit.
In computing terminology, "bit" is derived from the phrase "Binary digIT."a.Falseb.True
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