
2. Answer the following questions (5 points each) i. Convert the following decimal numbers to signed...
2. Convert the following two's complement binary numbers to decimal numbers. These numbers are integers. a. 110101 b. 01101010 c. 10110101 3. Convert the following decimal numbers to 6-bit two's complement binary numbers and add them. Write the results in 6-bit two's complement binary number format and decimal number format. Indicate whether or not the sum overflows a 6-bit result. a. 14 + 12 b. 30 + 2 C. -7 + 20 d. -18-17 4. What is the signed/magnitude and two's complement range of...
(1) Convert this Hexadecimal to Binary, Octal and Decimal : ABCDEF (2) how the representation of each of these numbers in both two’s complement and sign magnitude formats. Use the following assumptions: ● Assume that the sign magnitude number should be represented in the fewest number of bits possible. ● Assume that the sign bit for negative sign magnitude numbers should be a 1. ● Assume that the two’s complement numbers should be 8 bit numbers. 1. 108 2. -65
ints) The following questions pertain to machine numbers (a) (2 points) For an 8-bit unsigned integer, what is the decimal equivalent of 10010101? (b) (3 points) For an S-bit signed integer, what is the decimal equivalent for the 2's compliment of 11010101? (c) (5 points) Consider an 8-bit floating point number like the one in Homework A2 (one sign bit, three exponent bits, and four assignable mantissa bits), what is the floating point number that associates with 01101 1001?
ints)...
PLEASE SHOW MATH OF IT ALL Given n bits, how many signed numbers can be represented using the sign-and-magnitude method, the ones’ complement method, and the two’s complement method, respectively? (5 points) Number conversion (2.5 x 22 = 55 points) Convert the following unsigned binary numbers to decimal: 11111 101 Convert the following decimal numbers to binary: 111 35 Convert the following octal numbers to binary: 1111 731 Convert the following unsigned binary numbers to octal: 101010111001 1001 Convert the...
(5 points) Convert the following decimal numbers to 8-bit two's complement binary numbers and carry out the additions in binary. Indicate whether the sum overflows the 8-bit result. If not show the result as a decimal number. a) 39 + (-78) b) -43 + (-92)
1. 2. Find the decimal value of the following 8-bit numbers for (i) un-signed and (ii) signed number. (a) 11010110, (b) 01011101 Express the following decimal numbers in 6-bit 2's complement representation: (a) -27, (b) 6, (c)-13, (d) -47 - 4. Convert decimal numbers 83 and 101 to 8-bit unsigned binary number. Find the sum and difference (with addition approach) of these two numbers.
3. Convert the following signed hexadecimal numbers to decimal . a) EE2 b) 7F2 c) 2FE 4. Perform the subtractions with the following binary numbers using 2’s complement Check the answer by straight binary subtractions. a) 10011 – 10001, b) 10110 – 11000, c) 100111011 – 10001. 5. What is the decimal equivalent of the largest binary integer that can be obtained with a) 11 bits unsigned signed b) 25 bits? unsigned signed
. Convert the following 16bit signed integer numbers to decimal Show each of the 3 conversion steps 2BA6 ( ) F1BC ( ) 964F ( ) B500 ( ) 7FFF ( ) 2. Convert the following decimal numbers to 16bit signed integer Show each of the 3 conversion steps -10256 ( ) 5432 ( ) -11111 ( ) -5432 ( ) -23456 ( ) 1. Convert the following 32bit floating point numbers to decimal Show each of the 7 intermediate...
3.8) Convert the hexadecimal number 0x15 to a decimal number. 3.9) Convert the hexadecimal number 0x19 to a decimal number. 3.10) Convert the decimal number -35 to an 8-bit two’s complement binary number. 3.11) Convert the decimal number -32 to an 8-bit two’s complement binary number. 3.12) Assuming the use of the two’s complement number system find the equivalent decimal values for the following 8-bit binary numbers: a)10000001 b)11111111 c)01010000 d)11100000 e)10000011 3.13) Convert the base 8 number 204 to...
1. What decimal number is represented by the following excess 8 notation? 2. Convert 1111 from excess eight representation to its equivalent base ten binary form 3. With two's complement signed binary representation, what is the range of numbers as written in binary and in decimal for an eight-bit cell? (lowest to highest) 4. Convert -7 from decimal to binary, assuming seven-bit two’s complement binary representation 5. Convert 111 1010 from binary to decimal assuming seven bit two's complement binary...