Question 2 Saved what is the smallest value that can be represented in 10-bit, two's complement representation? O-511 -1023 -1024 -512 Question 3 ✓ Saved What range of values can be represented in 7-bit sign/magnitude representation? [-64, 63] [-63, 63] [-127, 127] [-128, 127].
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- 1) Answer the following questions: What is the greatest magnitude negative number one can represent in n-bit 2'scomplement code? 2)Show the 8-bit binary signed-magnitude representation for the following decimalnumbers: -109 10 +43 10 3)Perform the following additions and subtractions. Assume the numbers arestored in signed-magnitude base 2 representation. -1010111 + -10011Question 1 What is the radix representation of the fraction 1/3 in base 3? Question 2 Which of the following is the correct hexadecimal representation of the binary number 1011 1110 1110 1111? Question 3 In hexadecimal, F+1 = ? Question 4 What is the 4-bit twos complement representation of the decimal number -1? Question 5 In IEEE 754 floating point, 0.1+0.1+0.1 == 0.3 Question 6 Match the truth tables to the Boolean function. o Question x y 0 0 0 0 1 0 1 0 0 1 1 1 x y 0 0 0 0 1 1 1 0 1 1 1 1 x y 0 0 0 0 1 1 1 0 1 1 1 0 x y 0 0 1 0 1 1 1 0 1 1 1 0 Question 7…(Non-negative signed binary numbers) What happens if all of the zeros on the left side of a non-negative signed binary number are removed? In general, how does one convert a non-negative N-bit signed binary number to an M-bit unsigned binary number, where N ≤ M?
- 6. In IEEE 32-bit representations, the mantissa of the fraction is said to occupy ______ bits. a. 24 b. 23 c. 20 d. 16What will be the results of adding the following integers together assuming a 16-bit unsigned representation: 25534 and 40002 10000 and 55535 44456 and 27845 Clearly indicate the cases where the results overflow. What will be the results of adding the following integers together assuming all integers are represented as 16-bit 2's complement representation: 20000 and 12768 -20000 and -12768 12345 and 23456 Clearly indicate the cases where the results overflow.Negative signed binary numbers What is the decimal representation of the 2-bit signed binary number 11? What is the decimal representation of the 16-bit signed binary number 1111_1111_1111_1111? How do the signed binary representations differ (ignoring the underscores)? What is the decimal representation of the 8-bit signed binary number 1001_0001? What is the decimal representation of the 16-bit signed binary number 1111_1111_1001_0001? How do the signed binary representations differ (ignoring the underscores)? What is the decimal representation of the 9-bit signed binary number 1_0001_0001? What is the decimal representation of the 16-bit signed binary number 1111_1111_0001_0001?
- Determine the gi, pi, Pi, and Gi values of these two 16-bit numbers: a: 0001 1010 0011 0011two b: 1110 0101 1110 1011two Also, what is CarryOut15 (C4)?9. Answer the following questions about IEEE 754 32-bit single precision numbers. a. Draw a diagram of the number format. b. What’s the range of numbers that can be represented? c. What’s meant by normalization? d. What’s the implied bit? e. What’s meant by exponent overflow and underflow? f. What’s meant by significand overflow and underflow? g. How’s + ∞ represented? h. How would he following numbers be represented? i. 1.6328125 x 2^-20 ii. 1.6328125 x 2^20 iii. -1.6328125 x 2^-20 iv. -1.6328125 x 2^201. Suppose (27.625 base 10) is represented using IEEE754 Double Precision Floating Point Format. What is the Mantissa? Do not involve a space character when you type your answer. 2. Suppose (27.625 base 10) is represented using IEEE754 Double Precision Floating Point Format. What is the Exponent? Do not involve a space character when you type your answer. 3. Suppose (27.625 base 10) is represented using a 16-bit Floating Point Format where 1 bit is for the sign bit, 5 bits is for exponent and 10 bits is for mantissa. What is the mantissa? Do not involve a space character when you type your answer.
- 1. Suppose (27.625 base 10) is represented using a 16-bit Floating Point Format where 1 bit is for the sign bit, 5 bits is for exponent and 10 bits is for mantissa. What is the exponent? Do not involve a space character when you type your answer. 2. Suppose (-27.625 base 10) is represented using a 16-bit Floating Point Format where 1 bit is for the sign bit, 5 bits is for exponent and 10 bits is for mantissa. What is the the result? Do not involve a space character when you type your answer.Audio CDs encode the music at 44,000 Hz with 16-bit samples.Would it make sense to produce higher-quality audio bysampling at 88,000 Hz with 16-bit samples? What about 44,000Hz with 24-bit samples?Consider a hypothetical 8 bit floating point machine representation with a sign bit, a 3 bit exponent, and a 4 bit mantissa (se1e2e3b1b2b3b4), where the exponent bias is 3 (add 3 to exponent of number to form machine representation). Recall that actual mantissa has 5 bits, since the leading 1 is not stored on the machine. (a) What is the number ?≈2.718 in this 8-bit format? (b) What is the number that (10100111)2 represents in this 8-bit format? (c) What is the upper bound of the relative error when representing a real number in this 8-bit format?