1) What decimal number does 25 represent? A) 32 B) 31 C) 25 D) 10 2) Convert 11001010001101012 to hexadecimal. A) CA35 B) 530121 C) 53AC1 D) 121035 3) Convert hexadecimal 8B3F to binary. A) 1011001111100011 B) 1000101100111111 C) 011010 D) 35647
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- IV) Convert Decimal to Hexadecimal (a) 974510 (b) 2976.5410 V) Convert from Binary to Hexadecimal (a) 10010110101012 (b) 111011101.010101012 VI) Convert from Hexadecimal to Binary (a) 7CAB516 (b) AF2.12B16Problem 2 a) Convert each of the following binary numbers to octal and hexadecimal forms: (show your work) (1111110000.1)2 (10100110)2 (101100011001)2 b) Express each of the following octal/hexadecimal numbers in binary and decimal forms: (show your work) (7765) 8 (FB17)16 (A14)16 c) Convert each of the following decimal numbers to BCD: (128)10 (547)10 (1051)10b) There are five binary or hexadecimal numbers and six decimal conversions. Draw a line to connect each binary/hexadecimal to decimal number. Binary/Hexadecimal Decimal 4E 78 11011010 157 10011101 167 A7 25 19 218
- Q1. Show the implementation of 4 bit binary to gray code (shown in below table) converter using either EPROM or PLA. In Gray code only one bit changes at a time. Binary Gray code Decimal equivalent 0000 0000 1 0001 0001 0010 0011 3 0011 0010 4 0100 0110 5 0101 0111 6. 0110 0101 7 0111 0100 8. 1000 1100 1001 1101 10 1010 1111 11 1011 1110 12 1100 1010 13 1101 1011 14 1110 1001 15 1111 1000Q1) Convert to binary number: 1) The hexadecimal number ( FC3.68A) 2) The Octal number (752.561) 3) The 8421 BCD (10010101) 4) The gray code (110010100110)6. Express the following gray code numbers as binary numhers: a) 100111100 b) 0110101 c) 10110010101 7. Express the following decimal numbers as 2421 codes: a) 168 b) 6735 c) 9021 d) 254
- (c) Figure Q3(c)(i) shows a register and Figure Q3(c)(ii) shows the input waveforms (CLOCK and Data in) to the circuit. A1 A9 A10 A2 Function generator A3 A11 A12 AS A13 A6 A14 A7 A15 Data in Bop.7) ip.r 82p.7) Logic analyser U1 U2 U3 U4 UO 6. 1. 6 1 6 INVERTER 3 CLK 3 CLK oCLK CLK 5 K K 5 K K 4027 Clock Function generator Figure Q3(c)(i) (i) Determine the type of register as shown in Figure Q3(c)(i).Perform floating point binary addition to the following: A: 1 10000011 10110111010000000000000 B: 0 10000000 10010011000100101000000 The result of A+B must be in be in 32-bit floating point. You can also check the answer in decimal.Q3) A - Convert the Excess-3 to binary number : ( 110001011100.10001010)ex-3 B- convert each Gray code to binary: 1-( 011010001001)G 2-(59)D
- (10101101.101)2 to Decimal, Octal, and Hexadecimal.Question 4 a) The IEEE Standard 754 representation of a floating point number is given as: 01101110110011010100000000000000. Determine the binary value represented by this number. b) Convert each of the following hexadecimal values to binary. i) AB1916 ii) 2DEF16 iii) 8A4516 iv) 9B5A16 c) If a computer's system clock is 2.4 GHz, calculate the period of the system clock. d) If an 8-bit binary number is used to represent an analog value in the range from 200 ounces to 700 ounces, what is the resolution of the system?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 representation