What is the exact number of bytes in a system that contains (a) 32K bytes, (b) 64M bytes, and (c) 6.4G bytes?
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What is the exact number of bytes in a system that contains (a) 32K bytes, (b) 64M bytes, and (c) 6.4G bytes?
What is the largest binary number that can be expressed with 14 bits? What are the equivalent decimal and hexadecimal number?
Perform subtraction on the given unsigned binary numbers using the 2’s complement of the subtrahend. Where the result should be negative, find its 2’s complement and affix a minus sign.
(a) 10011 - 10010 (b) 100010 - 100110
(c) 1001 - 110101 (d) 101000 – 10101
Convert the decimal number 431 to binary in two ways: (a) convert directly to binary; (b) convert first to hexadecimal and then from hexadecimal to binary. Which method is faster?
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- The number -82 is represented as an integer with respect to the complement of 2 in 32 bits. According to this, a) If we rotate this number 8 bits to the left, what will be the result, show it in hexadecimal format? b) If we rotate this number 4 bits to the right, what will be the result, show it in hexadecimal format?The number 12.410 is to be written using the closest 8-bit unsigned binary representation. i.Show, using a table of column weightings, that 1100.01102 represents the decimal value 12.37510. ii.Show, using a table of column weightings, that 1100.01112 represents the decimal value 12.437510. iii.Using your results from (i) and (ii) write down the 8-bit unsigned binary number and its decimal equivalent that gives the best approximation to 12.410. iv.Write the decimal number you wrote down in (iii) as a percentage of 12.4. Write your final answer as a percentage rounded to two decimal places.In an 8-bit binary number, which is the most significant bit (MSB)? What is the decimal representation of each of the following unsigned binary integers? 00110101 b. 10010110 c. 11001100 What is the sum of each pair of binary integers? 10101111 + 11011011 10010111 + 11111111 01110101 + 10101100 Calculate binary 00001101 minus 00000111. How many bits are used by each of the following data types? word doubleword quadword double quadword What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers? 4095 65534 42319 What is the hexadecimal representation of each of the following binary numbers? 0011 0101 1101 1010 1100 1110 1010 0011 1111 1110 1101 1011 What is the binary representation of the following hexadecimal numbers? 0126F9D4 6ACDFA95 F69BDC2A Whatistheunsigneddecimalrepresentationofeachofthefollowinghexadecimalintegers? 3A 1BF 1001…
- . Convert 168 and 123 to binary and then compute their addition. How many bytes does it take to represent each number? How many bytes are needed for the answer?Suppose you are given 6-bit signed fixed-point number in binary where there are 3 bits before and 3 bits after binary point. Calculate its range and precision. Also, convert 110.011 in 4-bit unsigned binary fixed-point number to decimalUsing a "word" of 4 bits, list all of the possible signed binary numbers and their decimal equivalents that are representable in: a) Unsigned integer, b) Signed magnitude, c) One’s complement, d) Two's complementBinary Unsigned IntegerSigned MagnitudeOne’sComplementTwo’s Complement0000000100100011010001010110011110001001101010111100110111101111
- Convert IEEE Single-Precision Binary Format Real number 11000100101001000010101000000000 to decimal. Please show all the steps. a) [1] What is the sign? b) [1] What is the biased exponent value? c) [1] What is the unbiased exponent value? d) [2] What is the normalized representation of the number in BINARY? e) [1] What is the unnormalized representation of the number in BINARY? f) [1] What is the decimal value of the whole number part of the number? g) [2] What is the decimal value of the fractional part of the number? h) [1] What is the real number in base 10(a) How many bit strings of length 13 either starts with three consecutive 1s or end with 2 consecutive 0s? (b) How many bit strings of nine lowercase letters start with a vowel, if letters cannot be repeated?4. Generalize the range of values (in decimal) that can be represented in any given x number of bits using: a. Signed magnitude b. One's complement c. Two's complement 5. What is the highest and lowest values can be stored using 6 bits 2’s complement method?
- If we use the 128-bit binary field extension F 128 to decode the 127-bit binary BCH code at a distance of 6, we get a total of 127 bits. How large is the code, and is there a minimum distance you can guarantee?What bit pattern is stored for the following characters assuming an 8-bit byte? a. A b. a c. 8 d. % 2. What character is represented by the following bit patterns? a. 0011 0000 b. 0100 0011 c. 0111 1000 d. 0010 1010a. What decimal number is represented by the following single precisionfloat?1 0111 1100 0110 0000 0110 0000 0000 000b. What decimal number is represented by the following single precisionfloat?1 0101 1100 0110 0010 0110 0000 0000 000c. How many bits are needed to represent 57B(Hex) in binary?