1. Floating Point Numbers a. Show the difference between IEEE 16, 32, 64, 128-bit floating-point numbers.
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Q: Express the following numbers in hexadecimal IEEE 32-bit floating-point format. 320
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A: Given: Express the following numbers in hexadecimal IEEE 32-bit floating-point format. -12
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1. Floating Point Numbers
a. Show the difference between IEEE 16, 32, 64, 128-bit floating-point numbers.
b. Express the following numbers in hexadecimal IEEE 32-bit floating-point
format.
i. 320
ii. -62
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- Data represented in ________ is transmitted accurately between computer equipment from different manufacturers if each computer’s CPU represents real numbers by using an IEEE standard notation.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 2^20This problem covers floating-point IEEE format.(a) Assuming single precision IEEE 754 format, what is the binary pattern for decimal number 6.16?(b) Assuming single precision IEEE 754 format, what decimal number is represented by this word:0 01111110 01100000000000000000000
- This problem covers floating-point IEEE format.(a) Assuming single precision IEEE 754 format, what is the binary pattern for decimal number -6.16?(b) Assuming single precision IEEE 754 format, what decimal number is represented by this word:0 01111100 01100000000000000000000(Hint: remember to use the biased form of the exponent.)6. Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below. Show the sign, exponent, and mantissa (significand).b. 11.2265625(b) Convert the following decimal number to IEEE 32-bit floating-point format i) -16.625 X 10 ^ 4 ii) -3013.3125
- Please solve and show all work and steps. What decimal number does the bit pattern (0A000000)16 represent if it is a floating-point number? Use the IEEE 754 standard.A) Using the floating point format from number 2 (5 bit significand, 5 bit exponent), represent 47 as accurately as you can? B) What number is really represented and why? Can anyone answer these questions based on the the solution above.1) Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?
- 1)Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?31 Convert the hexadecimal IEEE format floating point single precision number 0x40200000 to decimal: First convert hex to binary (Provide a space between four bit groups. Example 111 1010 not 1111010) Sign bit Exponent in decimal after removing excess 127. Just the exponent. Example 3 not 23 Mantissa or Significand (Provide a space between four bit groups. Example 111 1010 not 1111010) Put it together and convert to decimala. Assume (F43)(16) and (1B7)(16) are unsigned 12-bit Hexadecimal integers.CalculateF43 -1B7. Is there overflow?b. Assume 185 and 122 are unsigned 8-bit decimal integers. Calculate185 - 122. Is there overflow?c. Calculate (1100 1101)2 + (1100 10101)2