IEEE 64 binary system. What are the smallest and largest positive numbers in IEEE 64 binary system? For each of them, what is the corresponding characteristic (e) and mantissa ()?
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IEEE 64 bit binary system
1 bit represents the sign
11 bits are used to represent the exponent, and
The remaining 52 bits are used for the significand.
| Sign bit | Exponent bits | Significand bits |
| 1 | 11 | 52 |
The number is represented in the form:
where s is +1 or -1 and f is significand value.
Step by step
Solved in 2 steps
- With signed binary representation, what is the range of numbers as written in binary and in decimal for an three bit cell?In a particular computer numbers are stored in IEEE standard 754floating point format, with an 8-bit mantissa and a 4-bitexponent.(i) Show how 43.125 would be stored (ii) What number is stored as 1 11001010 1011?WHAT IS THE 16-BIT BINARY (2’S COMPLEMENT) REPERESENTATION OF EACH OF THE FOLLOWING SIGNED INTEGERS? A. -18 B. -12 C. +129 D. +64 E. -256
- In single precision (IEEE-754 standard), 8 bits are used for storing the exponent (the bias is 127), and 23 bits are used for storing the mantissa. (a) What are the smallest and the largest positive numbers that can be stored in single precision? (b) What is the smallest value of the mantissa that can be stored?WHAT IS THE 16-BIT BINARY (2’S COMPLEMENT) REPERESENTATION OF EACH OF THE FOLLOWING SIGNED INTEGERS? A. -18 B. -12 C. +129What decimal value does the 8-bit binary number 10010110 have if it is represented using Excess-M representation? a) If high-order interleaving is used, where would address 37 (base 10) be located? b) If low-order interleaving is used, where would address 28 (base 10) be located
- Take the 127-bit binary BCH code with a 6-bit target distance and the 128-bit binary field extension F 128. How large is the code, and is there a minimum distance you can guarantee?37. How many characters per second (7 bits + 1 parity) can be transmitted over a 3200 bps line if the transfer is asynchronous? (Assuming 1 start bit and 1 stop bit) a. 300 b. 320 c. 360 d. 400In an 8-bit binary number, which is the most significant bit (MSB)?
- Take the 127-bit binary BCH code with a 6-bit target distance and the 128-bit binary field extension F 128. How big is the code, and is there a minimum separation you can promise?Recognize the differences between ternary and three binary connections.Determine the binary representation of the decimal number -20.0625 assuming the IEEE 754 32-bit format. Give your answer in both binary and hexadecimal.