23. What is the largest 16-bit binary value that can be represented by: (a) Unsigned number (b) Signed magnitude (c) Signed two's complement
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A: Divided the given signed numbers
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A: Ans) A. Signed magnitude
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- A(n) __________ is an integer stored in double the normal number of bit positions.___________ occurs when the result of an arithmetic operation exceeds the number of bits available to store it.Convert IEEE Single-Precision Binary Format Real number 11000100101001000010101000000000 to decimal. Please show all the steps. a) [1] What is the sign? b) [1] What is the biased exponent value? c) [1] What is the unbiased exponent value? d) [2] What is the normalized representation of the number in BINARY? e) [1] What is the unnormalized representation of the number in BINARY? f) [1] What is the decimal value of the whole number part of the number? g) [2] What is the decimal value of the fractional part of the number? h) [1] What is the real number in base 10
- 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 + -10011Convert the decimal number -19.625 to a floating-point number expressed in the 14-bit simple model given in your text (1 bit for the sign, 5 bits for exponent using excess-15 notation, and 8 bit mantissa with no implied bit). Question 16 Convert the following decimal Real number to fixed point binary: 19.62510 Assume 8 bits for the whole part and 8 bits for the fraction1) 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?6. Convert the following numbers from unsigned binary notation to decimal notation, and from 6-bit 2's complement notation to decimal notation: i) 110011, ii) 001101, iii) 101101 7. Show how each of the following floating point values would be stored using IEEE-754 single precision (be sure to indicate the sign bit, the exponent, and the significand fields): a. 12.5 b. −1.5 c. 0.75 d. 26.625 8. The following is a representation of a decimal floating value using IEEE-754 single precision. Find out the value in decimal. 0 10000011 10101000000...02. What is the 2s complement of the following binary numbers? a. 01100 b 10001 3. Add the following 5-bit signed binary numbers together. Please indicate if overflow occurs. a. 00100 + 11000 b. 01010 + 01000 c. 11010 + 10011
- 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 decimalConsider the bit pattern 1000 1100 0000 0000 0000 0000 0000 0000 a) What decimal number does this pattern represent as an unsigned integer? b) What decimal number does this pattern represent as a signed integer? c) What decimal number does this pattern represent as a two complement number? d) What single precision number does this represent if it is a floating point number per the IEEE 754 standard?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 2^20