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- A(n) __________ is an integer stored in double the normal number of bit positions.Floating point calculation: a Show the IEEE 754 representation for the decimal value -0.375 in single precision b. Find the decimal representation for the following single precision floating point number 1011,1111,0111,0000,0000,0000,0000,0000 c. Perform the addition and multiplication of the two floating point numbers in (a) and (b) in binary scientific notation, and represent the sum and product in single precision.5. What decimal value does the 8-bit binary number 10011010 have if: a) it is on a computer using signed-magnitude representation?: b) it is on a computer using two's complement representation?: c) it is on a computer using excess-M representation?:
- 1-6. Convert the following numbers from the given base to the required bases: (a) decimal 225-225 to binary, octal, and hexadecimal (b) binary 11010111-110 to decimal, octal, and hexadecimal (c) octal 623.77 to decimal, binary, and hexadecimal (d) hexadecimal 2A C5-D to decimal, octal, and binary1. In a binary coded decimal (BCD) system, 4 bits are used to represent a decimal digit from 0 to 9. For example, 3710 is written as 00110111BCD. (a) Write 28910 in BCD (b) Convert 100101010001BCD to decimal (c) Convert 01101001BCD to binary (d) Explain why BCD might be a useful way to represent numbers• Convert 109 (base 10) from decimal to hexadecimal, showing the steps of your computation. Convert 5A (base 16) from hexadecimal to decimal, showing the steps of your computation.
- 2. Convert the following hexadecimal numbers into binary numbers: (a) 4E16 (b) 3D716 (c) 3D70162. Convert the following hexadecimal numbers into binary numbers:(a) 4E16(b) 3D716 (c) 3D70161. Convert each pair of decimal numbers to 8-bit signed binary form and add the numbers together. (10 points each) a. -69 and 42
- What decimal value does the 8-bit binary number 10101110 have if: a) it is interpreted as an unsigned number? b) it is on a computer using signed-magnitude representation? c) it is on a computer using one's complement representation? d) it is on a computer using two's complement representation? e) it is on a computer using excess-127 representation?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 102. Convert the IEEE 754 single precision binary representation to a decimal number 1001 1001 1011 0000 0000 0000 0000 0000 Note: make sure that in final answer the fraction is in base 10 (at most 3 digits). You don't need to change the power of 2 in a power of 10.