computer Architecture and organization

( in detail please )

Digital Logic Circuit and Digital Components Question #1_(4 marks): Convert the following numbers with the indicated bases to decimal: (21212), (3240)s, (43), and (183)12. Question #2 (4 marks): Convert the following decimal numbers to binary: 1234, 581, and 1967. Question #3 (2 marks): Convert the hexadecimal number F3A7D2 to binary and octal. Question #4 (3 mark): Show the bit configuration of a 24-bit register when its content represents the decimal equivalent of 295: in binary: in BCD; in ASCII using eight bits with even parity Question #5 (3 marks): Perform the subtraction with the following unsigned binary numbers by taking the 2's complement of the subtrahend. a. 011010 - 010000 b. 0000100 - 0110000 c.01010100 - 01010100 Question #6 (2 marks): Represent the number (+46.5), as a floating-point binary number with 24 bits. The normalized fraction mantissa has 16 bits and the exponent has 8 bits Question #7 (4 marks): Obtain the 9's complement of the following eight-digit decimal numbers: 12349876; 00980100; 90009951; and 00000000 Question #8 (3 marks): Using a 4-bit counter with parallel load as in Fig. 2-11 and a 4-bit adder as in Fig. 4-6, draw a black diagram that shows how to implement the following statements: X: 2 RIRI + R2 RI - R1+1 Add R2 to RI Increment R1 where Rl is a counter with parallel load and R2 is a 4-bit register. Question #9 (3 marks): Use the adder subtraction of Fig. 4.7 that has the following values of input Mode (M) and data inputs (A) and (B). In each case, determine the values of the outputs SSS So and C4. M 0 A 0111 101 0000 0110 1010 0001 The adder-subtractor circuit of Fig. 4-7 has the following values for input mode M and data inputs A and B. In each case, determine the values of the outputs: S; SS, So and C4 0111 0110 0101 1010 1000 0001 Question #10 (2 marks): Design a digital circuit that performs 4 logical operations: AND, OR, EXOR, A' of A and B. Use 2 selection variables S, and So