Reading MaterialBinary 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 = 7QuestionYou are given a list of binary numbers [110011, 111010, 11011, 1110, 11000, 101010, 11110]. </br>You can freely choose any 2 numbers from this list. You have to choose them so that the XOR of those 2 numbers is minimized. What is the minimum XOR 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).
Question
Reading MaterialBinary 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 = 7QuestionYou are given a list of binary numbers [110011, 111010, 11011, 1110, 11000, 101010, 11110]. </br>You can freely choose any 2 numbers from this list. You have to choose them so that the XOR of those 2 numbers is minimized. What is the minimum XOR 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).
Solution
To solve this problem, we need to follow these steps:
-
Convert all the binary numbers in the list to decimal. This is because it's easier to work with decimal numbers in most programming languages. Here are the decimal equivalents of the binary numbers:
110011 = 51 111010 = 58 11011 = 27 1110 = 14 11000 = 24 101010 = 42 11110 = 30
-
Initialize a variable, say
min_xor, to a very large number. This variable will keep track of the minimum XOR value we have found so far. -
Use a nested loop to iterate over all pairs of numbers in the list. For each pair of numbers, calculate the XOR of the two numbers and check if it's less than
min_xor. If it is, updatemin_xorwith this new XOR value. -
After going through all pairs of numbers,
min_xorwill hold the minimum XOR value possible. -
Convert
min_xorback to binary and return it as the answer.
Note: The XOR operation in most programming languages is denoted by the ^ symbol. For example, in Python, the XOR of a and b would be a ^ b.
Similar Questions
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)
The two symbols 0 and 1 are known as bits in a binary system.
The relation between bit and byte in digital logic is 1 byte = 10 bits 1 byte = 16 bits 1 byte = 8 bits 1 byte = 2 bits
The binary number system is used both in mathematics and digital electronics.The binary number system or base-2 numeral system represents numeric values using only two symbols - 0 (zero) and 1 (one).Computers have circuits (logic gates) which can be in either of the two states: off or on. These two states are represented by 0 (zero) and 1 (one) respectively .It is for this reason that computation in systems is performed using a binary number system (base-2) where all numbers are represented using 0's and 1's.Each binary digit, i.e.,0 (zero) or 1 (one) is called a bit (binary digit). A collection of 8 such bits is called a Byte.In computer terminology, different names have been given to multiples of 210 (i.e., 1024 times existing value), as shown in the table given below:1 byte = 8 bits1 kilobyte = 1024 bytes1 megabyte = 1024 kilobytes1 gigabyte = 1024 megabytes1 terabyte = 1024 gigabytes1 petabyte = 1024 terabytesIn a computer, text, images, music, videos or any type of data for that matter is eventually stored in binary format on the disk.Select the correct statements from the given statements.In binary system the base is 2.A byte is composed of 10 bits.1MB (megabyte) = 8388608 bits.A decimal number cannot be represented as a binary number.
In computing terminology, "bit" is derived from the phrase "Binary digIT."a.Falseb.True
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.