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1- Convert the following numbers with the indicated bases to decimal: (a) (4310); (b) (198),2 (c) (435), (d) (345),

1- Convert the following numbers with the indicated bases to decimal: (a) (4310); (b) (198),2 (c) (435), (d) (345),

Database System Concepts
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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Sheet No. 1 1- Convert the following numbers with the indicated bases to decimal: (a) (4310)s (b) (198)12 (c) (435), (d) (345), 2- Convert (53)10 and (666)1o to binary. 3- Convert (1001101.010111), to hexadecimal 4- Convert the hexadecimal number (64CD) to binary, and then convert it from binary to octal. 5- Express the following numbers in decimal: (a) (10110.0101)2 (e) (1010.1101)2 (b) (16.5)16 (c) (26.24), (d) (DADA.B)6 6- Obtain the 1's and 2's complements of the following binary numbers: (a) 00010000 (b) 00000000 (c) 11011010 (d) 10101010 (e) 10000101 (f) 11111111. 7- multiply (13)o from (11)10 in binary. 8- Convert to octal and then to decimal: (a) (10111011.1), (b) (1101101.011). 9- Add, subtract and multiply in binary: a. 1111 and 1011 b. 100100land 111010 10- Do: (a) Find the 16's complement of C3DF. (b) Convert C3DF to binary. (c) Find the 2's complement of the result in (b). (d) Convert the answer in (c) to hexadecimal and compare with the answer in (a). 11- Represent the decimal number 6,248 in (a) BCD, Convert decimal +49 and +29 to binary, using the signed 2's complement representation and enough digits to accommodate the numbers. Then perform the binary equivalent of (+29) + (-49), (-29) + (+49), and (-29) + (-49). Convert the answers back to decimal and verify that they are correct. 12- Add and multiply the following numbers without converting them to decimal. (a) Binary numbers 1011 and 101. (b) Hexadecimal numbers 2E and 34.
Transcribed Image Text:Sheet No. 1 1- Convert the following numbers with the indicated bases to decimal: (a) (4310)s (b) (198)12 (c) (435), (d) (345), 2- Convert (53)10 and (666)1o to binary. 3- Convert (1001101.010111), to hexadecimal 4- Convert the hexadecimal number (64CD) to binary, and then convert it from binary to octal. 5- Express the following numbers in decimal: (a) (10110.0101)2 (e) (1010.1101)2 (b) (16.5)16 (c) (26.24), (d) (DADA.B)6 6- Obtain the 1's and 2's complements of the following binary numbers: (a) 00010000 (b) 00000000 (c) 11011010 (d) 10101010 (e) 10000101 (f) 11111111. 7- multiply (13)o from (11)10 in binary. 8- Convert to octal and then to decimal: (a) (10111011.1), (b) (1101101.011). 9- Add, subtract and multiply in binary: a. 1111 and 1011 b. 100100land 111010 10- Do: (a) Find the 16's complement of C3DF. (b) Convert C3DF to binary. (c) Find the 2's complement of the result in (b). (d) Convert the answer in (c) to hexadecimal and compare with the answer in (a). 11- Represent the decimal number 6,248 in (a) BCD, Convert decimal +49 and +29 to binary, using the signed 2's complement representation and enough digits to accommodate the numbers. Then perform the binary equivalent of (+29) + (-49), (-29) + (+49), and (-29) + (-49). Convert the answers back to decimal and verify that they are correct. 12- Add and multiply the following numbers without converting them to decimal. (a) Binary numbers 1011 and 101. (b) Hexadecimal numbers 2E and 34.
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