Answered: 6. a) Encode the following bit stream…

6. a) Encode the following bit stream 110000111000000001 using i) HDB3 ii) B8ZS iii) Manchester iv) NRZ-L v) Bipolar AMI

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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Question

Please help me the basic and technique to
draw the diagrams
6. a) Encode the following bit stream 110000111000000001 using
i) HDB3
ii) B8ZS
iii) Manchester
iv) NRZ-L
v) Bipolar AMI
b) Encode the following bit stream 100001000000001 using
i) HDB3
ii) B8ZS
iii) Bipolar AMI
iv) Pseudo Ternary

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2. Explain why 8 bits including a sign bit cannot represent -129 (negative 129).
1) Assume we have 8 bit (1 byte) 2's complement system with a 3-bit fractional. Find a decimal representation of 2's complements binary number 1011 0101.001 2) Assume we have a byte system for the fixed number representation (the whole number is presented with 8-bits (one byte) and the fractional part is presented with 2-bits), find the 2's complement of 0110 0010.01
(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?
1) Assume we have a 2's complement system with an 8-bit whole number part and a 2-bit fractional part. Find a decimal representation of 2's complements binary number 1110 0010.01 2) Assume we have 16-bit (2 bytes) 2's complement system with a 2-bit fractional. Find a decimal representation of 2's complements number 1111 1111 1110 0111.11
1-4) For each of the following, assume the machine used is a 5 bit machine. Complete the table by identifying (a) how the decimal value on the left would be stored in 5 bits using a 2s complement representation, and (b) what the equivalent decimal value is for the bit pattern in part (a). number -17 +28 -54 +96 (a) 2's Complement (b) Decimal Equivalent 5) What is the resulting bit pattern when the unsigned 10 bit binary value 1001101101 is stored in an 8 bit container? Name: 6) What is the resulting bit pattern when the signed 10 bit binary value 1110101011 is stored in an 8 bit container? 7) What is the resulting bit pattern when the unsigned 8 bit binary value 1101001 is stored in a 10 bit container?
Problems : 1.1 Convert to octal then to binary: a. (757.25)10 b. (123.17)10 c. (356.89)10 d. (1063.5)10 1.2 Convert to octal and then to decimal: a.(10111011.1), b.(1101101.011); c.(10000011.11); 1.3 Add, subtract and multiply in binary: a. 1111 and 1011 b. 1001001and 111010 c. 110100 and 11011 1.4 Convert to base 5: (165.2)7 (do all of the arithmetic in decimal) 1.5 a. Convert to hexadecimal: (701.12)10 b. Convert to decimal: (ABC.D)16 c. Device a scheme for converting hexadecimal directly to base 4 and convert the previous hexadecimal number to base 4.
[10] Write the 8-bit representation of –6810.
(3) The IEEE 754 standard specifies a single-precision binary floating-point format (binary32) as having 1 bit for sign bit, 8 bits for exponent, and 23 bits for fractions (mantissa). Given the conversion formula as follows, value2 = (-1)'31 × (1. b22b21 . bo)2 × 2(b30b29 .b23)2-127 ... (a) encode -2.2510 ; (b) decode 0 1000 0001 011 0000 0000 0000 0000 00002
3. Let LSA(x,b) represent a left arithmetic shift of x by b bits, and RSL(x,b) represent a right logical shift of x by b bits. Using two's complement binary with fixed size of 16 bit, what is the result (in decimal) of the expression LSA(-1610,8) + RSL(-12810,4)? A) 110 XB) -810 C) -11210 D) -6610 E) -12810 F) -17210
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comp architecture hw 3