Number Systems and Digital Processing Quiz

73.7510 = 111.68

82.2510 = 52.416

374.268 = 11111100.010112

<p>1110100.01001112 = 164.2348</p> Signup and view all the answers

<p>2F.C416 = 101111.1100012</p> Signup and view all the answers

<p>1011001110.0110111012 = 2CE.6E816</p> Signup and view all the answers

<p>2F.C416 = 57.618</p> Signup and view all the answers

<p>762.0138 = 1F2.05816</p> Signup and view all the answers

<p>Analog signals are continuous, while digital signals represent data using discrete values, specifically binary (0s and 1s).</p> Signup and view all the answers

<p>Computers use binary because their circuits can be in either ON or OFF states, allowing them to represent two distinct states.</p> Signup and view all the answers

<p>Weighted codes assign different weights to each digit based on its position, like Binary Coded Decimal (BCD).</p> Signup and view all the answers

<p>In Gray code, two successive values differ by only one bit, while binary codes can change multiple bits between values.</p> Signup and view all the answers

<p>Conversions involve reinterpreting the value of a number from one base to another, such as from binary to decimal or vice versa.</p> Signup and view all the answers

<p>ASCII codes are used to represent text in computers and other devices that use text, enabling a standard way to encode characters.</p> Signup and view all the answers

<p>A mercury thermometer represents temperature changes as an analog signal, continuously varying with temperature.</p> Signup and view all the answers

<p>Discrete mathematics enables the analysis and processing of structures that have distinct, separate values, such as counting and number theory.</p> Signup and view all the answers

<p>Binary codes represent, store, and transmit digital data as groups of binary bits.</p> Signup and view all the answers

<p>A four-bit code is required to represent a set of 16 elements.</p> Signup and view all the answers

<p>Weighted codes obey the positional weight principle, while non-weighted codes do not assign specific weights to bit positions.</p> Signup and view all the answers

<p>Only the first 9 combinations of four bits are valid in BCD, with the remaining combinations being unused.</p> Signup and view all the answers

<p>In Gray codes, only one bit changes at a time when the decimal number is incremented.</p> Signup and view all the answers

<p>Gray codes are cyclic codes because their sequence repeats after a complete cycle of values.</p> Signup and view all the answers

<p>A non-arithmetic code cannot be used for arithmetic operations.</p> Signup and view all the answers

<p>Weighted binary codes use a group of four bits to represent each decimal digit from 0 to 9.</p> Signup and view all the answers

<p>Gray codes reduce errors during the transition of code words since only one bit changes between adjacent values.</p> Signup and view all the answers

<p>ASCII is a 7-bit code, and Unicode was developed to accommodate a wider array of characters and languages beyond what 8-bit codes like EBCDIC could support.</p> Signup and view all the answers

<p>Optical encoders use coded discs connected to a rotating shaft to generate code words that represent the angular position of the shaft.</p> Signup and view all the answers

<p>Weighted codes assign a specific weight to bit positions, while non-weighted codes, like Gray code, do not have positional values and only account for bit changes between adjacent values.</p> Signup and view all the answers

<p>Logic gates perform basic operations on binary inputs to produce a single binary output, enabling complex computations in digital systems.</p> Signup and view all the answers

<p>The output of an AND gate is '1' only when both inputs x and y are '1'; otherwise, the output is '0'.</p> Signup and view all the answers

<p>Minimum change codes, such as Gray codes, minimize the possibility of errors in digital systems by ensuring only one bit changes at a time.</p> Signup and view all the answers

<p>Unicode supports a vast range of characters from various languages, while ASCII is limited to representing basic English characters.</p> Signup and view all the answers

<p>A half adder is a circuit that adds two single-bit binary numbers, producing a sum and a carry output.</p> Signup and view all the answers

<p>The output of a NOT gate is '1' when the input is '0'.</p> Signup and view all the answers

<p>An even parity bit indicates an even number of 1-bits, while an odd parity bit indicates an odd number of 1-bits.</p> Signup and view all the answers

<p>Borrow (in) represents a borrowed value from a previous subtraction, while Borrow (out) indicates a value borrowed for subsequent calculations.</p> Signup and view all the answers

<p>A 7-segment display uses binary values to turn segments ON or OFF, with '1' representing ON and '0' representing OFF.</p> Signup and view all the answers

<p>Parity generators typically use XOR gates to determine whether the combined input bits produce even or odd outputs.</p> Signup and view all the answers

<p>Half and Full Adder circuits are fundamental for performing binary addition, with Full Adders also capable of handling carry inputs for more complex operations.</p> Signup and view all the answers

<p>The output is 1 when there is an odd number of digital 1s as inputs.</p> Signup and view all the answers

<p>A half adder computes the sum of two binary digits, producing a sum and a carry output.</p> Signup and view all the answers

<p>A NAND gate outputs a 0 only when all its inputs are 1; otherwise, it outputs 1.</p> Signup and view all the answers

<p>An Exclusive-NOR gate outputs 1 when there is an even number of 1s among its inputs.</p> Signup and view all the answers

<p>A full adder can add three inputs: two significant bits and a carry input, while a half adder only adds two bits.</p> Signup and view all the answers

<p>Borrowing occurs when 1 is subtracted from 0, requiring the next higher bit to decrease by 1.</p> Signup and view all the answers

<p>A 3-input NOR gate outputs 1 only when all of its inputs are 0.</p> Signup and view all the answers

<p>The term signifies that an XOR gate is activated when an odd number of inputs are true (1).</p> Signup and view all the answers