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Viewed 42k times $\begingroup$ How many bits needed to store a number $55^{2002}$ ? My answer is $2002\;\log_2(55)$; is it correct?
J. W. Tanner 57.8k3 gold badges37 silver badges77 bronze badges asked Jun 19, 2012 at 11:55
$\endgroup$ 5 $\begingroup$ The number of bits required to represent an integer $n$ is $\lfloor\log_2 n\rfloor+1$, so $55^{2002}$ will require $\lfloor 2002\; \log_2 55\rfloor+1$ bits, which is $11,575$ bits. Added: For example, the $4$-bit integers are $8$ through $15$, whose logs base $2$ are all in the interval $[3,4)$. We have $\lfloor\log_2 n\rfloor=k$ if and only if $k\le\log_2 n<k+1$ if and only if $2^k\le n<2^{k+1}$, and that’s exactly the range of integers requiring $k+1$ bits. answered Jun 19, 2012 at 12:01
 Brian M. ScottBrian M. Scott 596k53 gold badges728 silver badges1196 bronze badges $\endgroup$ 5 in binary is 101. Unlike the decimal number system where we use the digits 0 to 9 to represent a number, in a binary system, we use only 2 digits that are 0 and 1 (bits). We have used 3 bits to represent 5 in binary. In this article, let us learn how to convert the decimal number 5 to binary. How to Convert 5 in Binary?Step 1: Divide 5 by 2. Use the integer quotient obtained in this step as the dividend for the next step. Repeat the process until the quotient becomes 0.
Step 2: Write the remainder from bottom to top i.e. in the reverse chronological order. This will give the binary equivalent of 5. Therefore, the binary equivalent of decimal number 5 is 101. ☛ Decimal to Binary Calculator Let us have a look at the value of the decimal number 5 in the different number systems.
Problem Statements:
FAQs on 5 in BinaryWhat is 5 in Binary?5 in binary is 101. To find decimal to binary equivalent, divide 5 successively by 2 until the quotient becomes 0. The binary equivalent can be obtained by writing the remainder in each division step from the bottom to the top. ☛ Binary to Decimal What is the Binary Equivalent of 5 + 27?5 in binary number system is 101 and 27 is 11011. We can add the binary equivalent of 5 and 27 using binary addition rules [0 + 0 = 0, 0 + 1 = 1, 1 + 1 = 10 note that 1 is a carry over to the next bit]. Therefore, (101)₂ + (11011)₂ = (100000)₂ which is nothing but 32. ☛ Binary to Decimal Calculator Find the Value of 7 × 5 in Binary Form.We know that 5 in binary is 101 and 7 is 111. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 101 × 111 = 100011 which is 35 in the decimal number system. [5 × 7 = 35] How Many Bits Does 5 in Binary Have?We can count the number of zeros and ones to see how many bits are used to represent 5 in binary i.e. 101. Therefore, we have used 3 bits to represent 5 in binary. How to Convert 5 to Binary Equivalent?We can divide 5 by 2 and continue the division till we get 0. Note down the remainder in each step.
Write the remainders from MSB to LSB. Therefore, the decimal number 5 in binary can be represented as 101. ☛ Also Check:
How many unique values is 5 bits?Binary number representation. What is the minimum number of bits required to represent 9 unique States?set each of those 9 bits to 1, to make the highest number possible that those 9 digits are able to represent. Therefore, the highest value is 1 1111 1111 which equals 511 in decimal. Conclude that, therefore, 9 digits of binary can represent 511 different values.
What is the maximum number that can be represented using 5 bits?Bit number patterns. What is the minimum number of bits needed to represent 6 things?Answer and Explanation: Three bits can represent six things. Each bit stores a one or zero, representing two combinations.
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The square of the minimum number of bits required to represent 5 unique states is
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