1. In a binary coded decimal (BCD) system, 4 bits are used to represent a decimal digit from 0 to 9. For example, 3710 is written as 00110111BCD- (a) Write 28910 in BCD (b) Convert 100101010001BCD to decimal (c) Convert 01101001BCD to binary (d) Explain why BCD might be a useful way to represent numbers
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- Given a floating point representation 10110 11101101000 (5-bit exponent and 11-bit significant) if the exponent is in two’s and the significant is in one’s, what are its normalized floating point representation in hexadecimal and its real value in hexadecimal?H - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal values: (i)–1.0 (ii)– 0.0 (iii)256.015625Using the signed-1's complement format, the representation of -7 is_ 1000 0111 1111 1001 This is a standard binary code for the alphanumeric characters that uses seven bits to code 128 characters Hollerith Code ASCII Code EBCDIC Code Gray Code This is defined as a single variable within a term, in complemented or uncomplemented form. coefficient of variable unary variable literal constant
- Given a floating point representation 10110 11101101000 (5-bit exponent and 11-bit significant) Question: if the exponent is in two’s and the significant is in one’s, what are its normalized floating point representation in hexadecimal and its real value in hexadecimal? Please answer based on given numbers.Given a floating point representation 10110 11101101000 (5-bit exponent and 11-bit significant) 3. if the exponent is in signed magnitude and the significant is in two’s, what are its normalized floating point representation in hexadecimal and its real value in hexadecimal?Given the following in 32-bit single-precision Floating-point number representation (IEEE-754) in normalized form, A:11000000010110100101010000000000 B:01000001100111001000101010000000 Find the sum of A and B (A+B) in IEEE-754 form
- Assume we are using a simple model for floating-point representation similar to the one used in Chapter 2 of the textbook which has a 14-bit format, 5 bits for the exponent with a bias of 15 (not 16 as in the textbook), a normalized mantissa of 8 bits, and a single sign bit. Show how the computer would represent the numbers 12.125 using this representation.Give (in decimal) the quantity represented by each of the following IEEE 754 single precision floating point values. (a)10111111100000000000000000000000 (b)00000000000000000000000000000000 (c)01111111111111111111111111111111 (d)11000001110110000000000000000000A hex number has a representation composed of the digits 4, 7, and A. Select all the potential binary expansions that the hex number can have. 010001111010 010010100111 011101001010 011110100100 101001000111 000100000100 000110100000
- Consider the half-precision floating-point format, which has five bits for the exponent and ten bits for the significand. Find the decimal (i.e., base 10) number represented by the following bits in the half-precision floating- point format: (a) 0100110001110000. (b) 1000001111 1111. (c) 0111110000000000.Assume we are using a simple model for floating-point representation similar to the one used in Chapter 2 of the textbook which has a 14-bit format, 5 bits for the exponent with a bias of 15 , a normalized mantissa of 8 bits, and a single sign bit. Show how the computer would represent the numbers 12.125 using this representation.Given this IEEE-754 32 bit floating point value: 110010100 00000000000000000000011 convert it into its decimal representation (use a calculator for the division step) (Hint: 223 = 8,388,608)