How many bit strings of length 10 a) begin with 101? b) have weight 3 and begin with 101? c) have weight 5 and begin with 101
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- How many bit strings of length 10 contain a) exactly four 1s? b) at most four 1s? c) at least four 1s?(b) How many 8-bit strings have either 5 1 bits or 6 1 bits in them?How many eight-bit binary strings contain exactly 3 1s? How many eight-bit binary strings contain at least three 1s? How many eight-bit binary strings contain an equal number of 0s and 1s? How many eight-bit binary strings contain at most three 1s?
- In a given 32-bit floating-point representation of numbers, if the number of bits of the mantissa is reduced to accommodate an increase in the number of bits of the exponent, this will result in the following: (select the best answer) Increased range of the numbers at the expense of the precision Increased precision of the numbers at the expense of the range Both range and precision increase Both range and precision decreaseTranscribed Image Text A short review if you need: A CRC-3 will have a four-bit polynomial. The largest would be aax + bx² + cx' + dx° . The highest degree is 3, leading to the name CRC-3. The values a b.c.d are coefficients of the terms of each polynomial, and are all single-bit values. A coefficient is either O or 1, thus the term is either included or excluded. We might describe a polynomial by these coefficients. So 1100 (decimal 12, hexadecimal OxC) would be r+ x? Use this polynomial r + x as the generator, with the message 11010111. You should get a 3-bit remainder.how many 11 - strings (that is, bit strings of length 11) are there which: a. start with sub - string 011 b. have weight 8 (i.e contain exactly 8 1's ) and start with the sub - string 011 c. either start with 011 or end with 01 (or both) d. have weight 8 and either start with 011 or end with 01 (or both)
- Find the decimal expansion of (B34F) 16. Fill in the blanks with the appropriate numbers. (B34F) 16 = 10¹ + • 104 + • 10⁰ •10³ + •10² +A and B are two unsigned 32 bits numbers. Compare the values of A and B and write if 1. A>B or 2. AIn cyclic redundancy checking, if g(x) =1011, d(x)= 0100, and the remainder to be 111, what is the codeword c(x) a. 1011111 b.0100111 c. 10110100 d.01001011 e. 1011 f. 0100 g. 111True/False 1. The octal number system is a weighted system with eight digits.2. The binary number system is a weighted system with two digits.3. MSB stands for most significant bit.4. In hexadecimal, 9 + 1 = 10.5. The 1’s complement of the binary number 1010 is 0101.6. The 2’s complement of the binary number 1111 is 0000.7. The right-most bit in a signed binary number is the sign bit.8. The hexadecimal number system has 16 characters, six of which are alphabetic characters.9. BCD stands for binary coded decimal.10. An error in a given code can be detected by verifying the parity bit.11. CRC stands for cyclic redundancy check.12. The modulo-2 sum of 11 and 10 is 100.What is the exact number of bytes in a system that contains (a) 32K bytes, (b) 64M bytes, and (c) 6.4G bytes?What is the largest binary number that can be expressed with 14 bits? What are the equivalent decimal and hexadecimal number?Perform subtraction on the given unsigned binary numbers using the 2’s complement of the subtrahend. Where the result should be negative, find its 2’s complement and affix a minus sign.(a) 10011 - 10010 (b) 100010 - 100110(c) 1001 - 110101 (d) 101000 – 10101Convert the decimal number 431 to binary in two ways: (a) convert directly to binary; (b) convert first to hexadecimal and then from hexadecimal to binary. Which method is faster?Scenario: In a biased N-bit binary number system with bias B, positive and negative numbers are represented as their value plus the bias B. For example, for 5-bit numbers with a bias of 15, the number 0 is represented as 01111, 1 as 10000, and so forth. Biased number systems are sometimes used in floating point mathematics. Consider a biased 8-bit binary number system with a bias of 12710 Question: What is the representation and value of the most negative number?SEE MORE QUESTIONS