Let X=−123, n=8 (including 2 sign bit), then the complement of X is_______ .
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3).Let X=−123, n=8 (including 2 sign bit), then the complement of X is_______ .
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- What does it imply when a bit is "activated" in regard to a number? What does it imply when a bit is represented numerically but is not connected?IEEE 754-2008 contains a half precision that is only 16 bits wide. The leftmost bit is still the sign bit, the exponent is 5 bits wide and has a bias of 15, and the mantissa is 10 bits long. A hidden 1 is assumed. Write down the bit pattern to represent -1.625 * 10-2 assuming a version of this format. Calculate the sum of 2.625*102 and 4.150390625 * 10-1 by hand, assuming both numbers are stored in the 16-bit half precision described above. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to the nearest even. Show all the steps.271. In Return to Zero (RZ), the signal changes not between bits but a. before the bit b. after the bit c. doesn d. during the bit
- 1. Assume numbers are represented in 8-bit two's complement Show the calculation of the following: a) 5 + 10 b) 5 – 10 c) -5 + 10 d)-5 – 10 2. Represent the following decimal numbers or values according to the given requirements: a) +4 in both binary sign/magnitude and two's complement b) -6 in both binary sign/magnitude and two's complement c) -85 in two's complement d) +52 in two's complement 3. Find the following differences using twos complement arithmetic: a) 001000 – 110111 b) 10100101 – 011110 c) 100100001011 – 101010110011 d) 10011011 – 10100101Determine 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)?IEEE 754-2008 contains a half precision that is only 16 bits wide. The leftmost bit is still the sign bit, the exponent is 5 bits wide and has a bias of 15, and the mantissa is 10 bits long. A hidden 1 is assumed. Write down the bit pattern to represent -1.5625 * 10-2 assuming a version of this format. Calculate the sum of 2.6125*102 and 4.150390625 * 10-1 by hand,assuming both numbers are stored in the 16-bit half precision described above. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to the nearest even. Show all the steps.
- 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.a) A digital sound recorder captures sound from the real-world, processes the audio and stores it in binary form. Using the principles of digital signal processing, practically explain how this phenomenon occurs. b) Use the two’s complement binary representation to represent each of the following integers as 10-bit binary numbers.i) -13710 ii) 14510 iii) -15810 iv) 16710 v) -11510 c) If an 8-bit binary number is used to represent an analog value in the range from 0 to 100kg, what does the binary value 011001002 represent?55. Suppose a digitized voice channel is made by digitizing 8 kHz bandwidth analog voice signal. It is required to sample the signal at twice the highest frequency (two samples per hertz). What is the bit rate required, if it is assumed that each sample requires 8 bits? a. 32 kbps b. 64 kbps c. 128 kbps d. 256 kbps
- 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 2^20Audio 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?Question 14 What's the result of subtracting the following two numbers in 2's complement system (Assume we're limited to 6-bits)? Express result in 2's complement system. 101011 - 111010