Represent the following decimal numbers in 8 bits: (+94)10 and (–124)10 by (a) Sign-magnitude, (b) one’s complement, and (c) two’s complement representation
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1. Represent the following decimal numbers in 8 bits: (+94)10 and (–124)10 by
(a) Sign-magnitude,
(b) one’s complement, and
(c) two’s complement representation
Step by step
Solved in 2 steps
- Data represented in ________ is transmitted accurately between computer equipment from different manufacturers if each computer’s CPU represents real numbers by using an IEEE standard notation.A(n) __________ is an integer stored in double the normal number of bit positions.Obtain the 1’s and 2’s complements of the following binary numbers: (a) 00010000 (d) 10101010 (b) 00000000 (e) 10000101 (c) 11011010 (f) 11111111 Represent the unsigned decimal numbers 791 and 658 in BCD, and then show the steps necessary to form their sum Express the following numbers in decimal: (a) (10110.0101) 2 (b) (16.5) 16 (c) (26.24) 8 (d) (DADA.B) 16 (e) (1010.1101) 2 Add and multiply the following numbers without converting them to decimal. (a)Binary numbers 1011 and 101. (b)Hexadecimal numbers 2E and 34.
- 8-bit numbers in the following representations: (a) Sign and magnitude (b) 1' s complement (c) 2' s complementExpress each decimal number as an 8-bit number in the 1’s complement form:(a) -34 (b) +57 (c) -99 (d) +1151. Represent the following decimal numbers in 8 bits: (+94)10 and (–124)10 by (a) Sign-magnitude, (b) one’s complement, and (c) two’s complement representation 2. Express the following decimal numbers in Excess-3 code form: 24510, 73910, and 456710. 3. Express the following Excess-3 codes as decimals: 1000001101102 and 01111100100101102.
- 3) Represent the following complement values in decimals: (a) 1101011 (b) 0101101Determine the base-six representation for each of the following numbers which are in base ten. (a) 736 (b) 28 (c) 12 (d) 432Express each decimal number in binary as an 8-bit sign-magnitude number:(a) +29 (b) -85 (c) +100 (d) -123
- Show the binary representation of the following decimal numbers in (i) 2’s complement, (ii) 1’s complement, using 20 bits: a) 133,089 b) -138,989 c) - 73. Represent the following decimal numbers in 8-bit 2's complement binary form : (a) + 123 (b) - 123 (c) + 1 (d) - 1Perform the following conversions: Decimal number -91 to 8 bit two’s complement representation Decimal number -398 into 16-bit two's-complement representation