2. Convert numbers between binary and hexadecimal number systems: a. Ob0110 0110 1101 = ? b. Ob1011 0001 0111 = ? c. ?= 0X0AD7 d. ?= 0X2E2B
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- A(n) __________ is an integer stored in double the normal number of bit positions.What decimal value does the 8-bit binary number 10011110have if:1. a) It is interpreted as an unsigned number?b) It is on a computer using signed-magnituderepresentation?2. c) It is on a computer using one’s complementrepresentation?3. d) It is on a computer using two’s complementrepresentation?4. e) It is on a computer using excess-127 representation?Convert the following numbers from their given base to decimal:a. 0.10010012b. 0.3A216c. 0.2A1122. What is the decimal value of the following binary numbers?a. 1100101.1b. 1110010.11c. 11100101.13. a. What is the ASCII representation of the numeral -3.1415 in binary?b. What is the ASCII representation of the numeral -3.1415 in octal?c. What is the ASCII representation of the numeral -3.1415 in hexadecimal?d. What is the ASCII representation of the numeral -3.1415 in decimal?4. What character string does the binary ASCII code1010100 1101000 1101001 1110011 0100000 1101001 11100110100000 1000101 1000001 1010011 1011001 0100001
- What decimal value does the 8-bit binary number 00010001have if: 1. a) It is interpreted as an unsigned number?2. b) It is on a computer using signed-magnituderepresentation?3. c) It is on a computer using one’s complementrepresentation?4. d) It is on a computer using two’s complementrepresentation?5. e) It is on a computer using excess-127 representation?For any given base, what does 10 represent? a) The base number -1 b) The base number +1 c) The base number itself (base raised to the 1 power) d) Depends on the base.What is the 17th decimal digit in the decimal representation of 14/11? a. 7 b. 8 c. 3 d. 2
- Fill in the missing values in this chart of positional values for the rightmost four positionsin each of the indicated number systems:decimal 1000 100 10 1hexadecimal ... 256 ... ...binary ... ... ... ...octal 512 ... 8 ...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 10Answer the following Binary Multiplication: *similar to decimal multiplication* 5. 10 x 10 = 6. 101 x 10 = Binary Division: *Hint: very similar to decimal division* 7. 100 / 10 = 8. 1010 / 100 =
- a) How many bytes are needed to represent the following hex number: 0x77 88 f0 19add x5, x5, x8Every binary digit must be either 0 or 1 or X. If it appears in multiple bits, then you must input multiple bits, e.g.: 0011xx11Control Signal: ValueWhat is the minimum number of binary bits needed to represent the following unsigned decimal integer? 2134657