SECTION 2-5 CHECKUP 1. Determine the l's complement of each binary number: (a) 00011010 (b) 11110111 (c) 10001101 2. Determine the 2's complement of each binary number: (a) 00010110 (b) 11111100 (c) 10010001
SECTION 2-5 CHECKUP 1. Determine the l's complement of each binary number: (a) 00011010 (b) 11110111 (c) 10001101 2. Determine the 2's complement of each binary number: (a) 00010110 (b) 11111100 (c) 10010001
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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Transcribed Image Text:SECTION 2-5 CHECKUP
1. Determine the 1's complement of each binary number:
(a) 00011010
(b) 11110111
(c) 10001101
2. Determine the 2's complement of each binary number:
(a) 00010110
(b) 11111100
(c) 10010001
SECTION 2-6 CHECKUP
1. Express the decimal number +9 as an 8-bit binary number in the sign-magnitude system.
2. Express the decimal number -33 as an 8-bit binary number in the 1's complement
system.
3. Express the decimal number -46 as an 8-bit binary number in the 2's complement
system.
4. List the three parts of a signed, floating-point number.
SECTION 2-7 CHECKUP
1. List the four cases when numbers are added.
2. Add the signed numbers 00100001 and 10111100.
3. Subtract the signed numbers 00110010 from 01110111.
4. What is the sign of the product when two negative numbers are multiplied?
5. Multiply 01111111 by 00000101.
6. What is the sign of the quotient when a positive number is divided by a negative number?
7. Divide 00110000 by 00001100.
Transcribed Image Text:Section 2-5 Complements of Binary Numbers
19. What are two ways of representing zero in 1's complement form?
20. How is zero represented in 2's complement form?
21. Determine the 1's complement of each binary number:
(a) 100
(c) 1100
(d) 10111011
(f) 10101010
(b) 111
(e) 1001010
22. Determine the 2's complement of each binary number using either method:
(a) 11
(e) 101010
(d) 1001
(h) 11000111
(b) 110
(f) 11001
Section 2-6 Signed Numbers
23. Express each decimal number in binary as an 8-bit sign-magnitude number:
(a) +29 (b) -85
(c) +100 (d) - 123
24. Express each decimal number as an 8-bit number in the 1's complement form:
(a) -34
(b) +57
(c) -99
(d) +115
(c) 1010
(g) 11001100
25. Express each decimal number as an 8-bit number in the 2's complement form:
(b) -68 (c) +101
(a) +12
(d) - 125
26. Determine the decimal value of each signed binary number in the sign-magnitude form:
(b) 01110100
(a) 10011001
(c) 10111111
27. Determine the decimal value of each signed binary number in the I's complement form:
(a) 10011001 (b) 01110100
(c) 10111111
28. Determine the decimal value of each signed binary number in the 2's complement form:
(a) 10011001 (b) 01110100 (c) 10111111
29. Express each of the following sign-magnitude binary numbers in single-precision floating-
point format:
(a) 0111110000101011
(b) 100110000011000
30. Determine the values of the following single-precision floating-point numbers:
(a) 1 10000001 01001001110001000000000
(b) 0 11001100 10000111110100100000000
Section 2-7 Arithmetic Operations with Signed Numbers
31. Convert each pair of decimal numbers to binary and add using the 2's complement form:
(a) 33 and 15
(b) 56 and -27 (c) -46 and 25 (d) 110 and 84
32. Perform each addition in the 2's complement form:
(a) 0001011000110011 (b) 01110000 + 10101111
33. Perform each addition in the 2's complement form:
(a) 10001100+ 00111001 (b) 11011001+ 11100111
34. Perform each subtraction in the 2's complement form:
(a) 00110011-00010000 (b) 01100101 11101000
35. Multiply 01101010 by 11110001 in the 2's complement form.
36. Divide 10001000 by 00100010 in the 2's complement form.
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