(b) Convert the following hexadecimal numbers to binary: (i) 111111 (ii) 101 (c) How many bits are needed to represent the order of an entire deck of playing cards? 4. Express the following number as 32-Bit single precision floating point numbers; using 1 signed bit, 8 biased exponent bits (+127), 23 bits for magnitude with the MSB dropped. (a) The speed of light, c, 0.2998 x 10^9 5. Explain the functionality of the following VHDL program. entity BCDInv is port (B,C,A: in bit; X: out bit); end entity BCDInv architecture Invalid of BCDInv begin X <= (B or C) and A; end architecture Invalid;

(b) Convert the following hexadecimal numbers to binary: (i) 111111 (ii) 101 (c) How many bits are needed to represent the order of an entire deck of playing cards? 4. Express the following number as 32-Bit single precision floating point numbers; using 1 signed bit, 8 biased exponent bits (+127), 23 bits for magnitude with the MSB dropped. (a) The speed of light, c, 0.2998 x 10^9 5. Explain the functionality of the following VHDL program. entity BCDInv is port (B,C,A: in bit; X: out bit); end entity BCDInv architecture Invalid of BCDInv begin X <= (B or C) and A; end architecture Invalid;

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Similar questions

Computer Science Question
I want a clear solution and a clear line as well.
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?
2. Perform the following additions and subtractions. Assume that all numbers are in 32 bit 2's complement. For all three numbers in each problem, indicate whether they are negative or positive, and indicate whether an overflow occurs. SHOW YOUR WORK TO RECEIVE CREDIT. A. 2D A4 45 9B + 78 72 C5 B7 B. 36 OC D4 57–4B 70 FE 1A
H - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal values: (i)–1.0 (ii)– 0.0 (iii)256.015625
7) The sum of 16216 + 4816 is A) 1AA16 B) 2AA16 C) 21016 D) 2BA16 8) What is the BCD form of 735 in even parity? A) 0101001101110 B) 1010100110111 C) 0111001101011 D) 0011100110101 9) Which of the following is not a standard digital code?
(b) A floating point number has the 12 bit binary sequence 1011 11011101. The first four bits are for the exponent, which has a bias of 7, and the next eight bits are for the mantissa, with no hidden bit and its leading bit is the sign bit, (i) (ii) What decimal number does this binary sequence represent? In this resulting decimal number, how many digits can you trust?
Please show full step-by-step work for each problem, thank you!
a. 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
Problem 2: Convert each of the following numbers to the 32-bit floating point format defined in the IEEE 754 Standard. Your final answer should be in HEX. Also state whether or not the representation is exact. а) b) – 1346 c) 0.275 85
2. Consider a IEEE floating format with a 5-bit exponent followed by a 7-bit fraction (ignore the sign bit). Write the following decimal numbers in the given format and in three hexadecimal digits. a. 0.05 b. 9.5
11] Encode Decimal '127 7/8' into Fixed Point Binary. Express your answer in Hex. 12] Encode Decimal '-92 13/32' into IEEE 754 Floating Point. Express your answer in Hex.