Find the decimal equivalent of the following binary numbers expressed in the 2's complement format: (a) 00001110; (b) 10001110.
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- Convert the following binary numbers to decimal form: (show your work) (110011.11)2 (1000001.111)2 (1011100.10101)2Exercises : Convert the following binary numbers to Hexadecimal numbers: (b) 1100111010002 (a)11001010010101112 (c) 101010. 101012 (d) 1111110001.011010012 0110111012 (e) 1011001110. Answers:Add the following BINARY NUMBERS 110000111.00011+ 110000000.11011
- The binary string 11b10010111110 is a floating-point number expressed using the 14-bit simple model given in your text. What is its decimal equivalent? Note: in the 14-bit simple model, the left-most bit is the sign, followed by 5 bits for the exponent, followed by 8 bits for the mantissa (There are no implied bits). The exponent is in Excess 15 notation.1. Convert the following decimal numerals to their binary, octal and hexadecimal equivalents (in case of infinite extension, compute the first 10 digits after dot): a. 55438, b. 237170, c. 586.609375 d. 22.016845703125 e. 416.712 2. Convert (416.715); to its decimal, binary, and hexadecimal equivalent 3. Find appropriate numeral system base, for which given equation is correct: a. 12,1 = 302/20 b. 41/3 = 13 c. 23+44+14+32 = 223 4. Find 8-bit l's complement numerals representing the following decimal numerals: a. 89 b. 135 c. 225 d. -37 e. -78 f. -128 g. -230 5. Repeat task 4, this time searching for 2's complement numerals 6. Compute: a. 11100 + 10001 b. 11100 + 00100 c. 01100 - 10011 assuming (one-by-one): signed-magnitude, l's complement, 2's complement representationWhat are the decimal values of the following 8-bit binary fractions? (a) 0.01100001(b) 0.10001000.
- Subtract the following 16-bit binary numbers. a. 11001011 00101000. - 10011110 01011011, b. 10111100 10111000, - 10011000 111100112WHAT IS THE DECIMAL REPERENTATION OF THE FOLLOWING SIGNED 2’s complement BINARY NUMBERS? A. 1011 0101 B. 0010 1010 C. 1111 0000 D. 1000 0000 E. 1010 0111Find the decimal equivalent of the binary number (1011.011)2
- Perform the addition of the following 8-bit 2's complement numbers using 2's complement arithmetic. (Reminder: 2's complement numbers are signed numbers.) a) 11001001 + 00110011 b) 10011011 + 01101111 c) 01011010 + 10110110 d) 11001000 + 11100101 Convert each result from the previous problem to signed decimal. Draw the block diagram of the circuit required to implement the operation in Problem 3.Computing the following two numbers using signed 2’s complement form with 8 bits : (convert the two operands to a binary format) +75 -52 ------ will generate a summation of: a. 00110011 b. 00010011 c. 00010111 d. 10010011Find the sum of all the digits in 1/1/2003 and then do the tollowing:(a) Convert the sum into 32-bit binary.(b) Convert the sum into 32-bit, IEEE-754 single precision floating point format.For example, if your date of birth is 15-8-2001, then the sum of its digits would be 17. You should convert it into 32-bit binary and single precision floating point formats.