1. What is the binary representation of the largest positive integer that can be represented with 19 bits 2. What is the LARGEST base ten number that can be represented with 1 BYTE in Binary
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Q: What are the mantissa and exponent values for 6.75 in 8-bit binary floating-point representation?
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1. What is the binary representation of the largest positive integer that can be represented with 19 bits
2. What is the LARGEST base ten number that can be represented with 1 BYTE in Binary
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- Question 11 Not yet answered P Flag question A computer system uses 8 bits to represent floating-point values. The 8 bits are organised as follows: The first bit is a sign bit (0 for positive, 1 for negative). The middle 3 bits are the exponent, which uses bias of 3. The last 4 bits are the significand, which is normalised in the same way as the significand is normalised in IEEE-754 formats. The format does not reserve any special values. The following arithmetic operation is performed on this system: 00011000 x 11000110 The result is then stored in the same 8-bit floating-point format. What is the relative error of the stored result comapred to the value of the result of the arithmetic operation? Answer s are rounded to 5 decimal places. O a. None of the other answers. O b. 0.03030% O c. 0.03125% O d. 0.97865% O e. 0%What are the mantissa and exponent values if 6.75 is represented in 8-bit binary floating-point representation? a) Mantissa is 1011 and exponent is 101 b) Mantissa is 0011 and exponent is 100 c) Mantissa is 1011 and exponent is 100 d) Mantissa is 0011 and exponent is 101Convert 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
- 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.2) What is the largest binary number that can be expressed with 16 bits? What are the equivalent decimal and hexadecimal numbers?1. 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
- 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?:What is the largest binary number that can be expressed with: (a). 8 bits and 10 bits and 16 bits, In each case, write their decimal and hexadecimal equivalentNegative signed binary numbers What is the decimal representation of the 2-bit signed binary number 11? What is the decimal representation of the 16-bit signed binary number 1111_1111_1111_1111?
- Integer Representations What decimal value does the 8-bit binary number 11001110 have if: it is interpreted as an unsigned number? it is on a computer using Two's Complement representation?1. Select a positive integer between 4563 and 5563 and find the 16-bit computer representation of it.J - For the IEEE 754 single-precision floating point, what is the number, as written in binary scientific notation, whose hexadecimal representation is the following? FF80 0000
